Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://vega.inp.nsk.su/~inest/tmp/hallometer/proposal.xmcd
Äàòà èçìåíåíèÿ: Wed Aug 24 00:36:46 2005
Äàòà èíäåêñèðîâàíèÿ: Mon Oct 1 20:24:00 2012
Êîäèðîâêà: koi8-r
Ïîèñêîâûå ñëîâà: ñîçâåçäèå ëåáåäÿ



Mathcad Professional 12.0

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export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="clad">î</ml:id> <ml:real>1.19</ml:real> </ml:define> </math> <br> <rendering item-idref="16"/> <br> </region> <br> <region region-id="392" left="384" top="215.25" width="77.25" height="15" align-x="398.25" align-y="228" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- density (g/<f family="Arial" charset="0">cm</f> <br> <sup>3</sup>)</p> <br> </text> <br> </region> <br> <region region-id="298" left="6" top="267" width="34.5" height="12.75" align-x="18.75" align-y="276" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:id>T</ml:id> <ml:real>185</ml:real> </ml:define> </math> <br> <rendering item-idref="17"/> <br> </region> <br> <region region-id="299" left="96" top="263.25" width="127.5" height="15" align-x="102" align-y="276" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- H<sup>-</sup> ion kinetic energy (MeV)</p> <br> </text> <br> </region> <br> <region region-id="300" left="6" top="285" width="45.75" height="16.5" align-x="23.25" align-y="294" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="0">E</ml:id> 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subscript="0">E</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="19"/> <br> </region> <br> <region region-id="303" left="96" top="314.25" width="43.5" height="13.5" align-x="105.75" align-y="324" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id>í¨</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="4" show-trailing-zeros="false" exponential-threshold="4"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="20"/> <br> </region> <br> <region region-id="304" left="6" top="342.75" width="56.25" height="36" align-x="18.75" align-y="360" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>í²</ml:id> <ml:apply> <br> <ml:sqrt/> <ml:apply> <br> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <br> <ml:div/> <ml:real>1</ml:real> <ml:apply> <br> <ml:pow/> <ml:id>í¨</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="21"/> <br> </region> <br> <region region-id="305" left="96" top="350.25" width="49.5" height="13.5" align-x="107.25" align-y="360" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id>í²</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="4" show-trailing-zeros="false" exponential-threshold="4"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="22"/> <br> </region> <br> <region region-id="306" left="6" top="381" width="80.25" height="18.75" align-x="17.25" align-y="396" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIFunction"> <br> <ml:id>íµ</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:real>0.044</ml:real> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> <ml:id>í¨</ml:id> </ml:apply> <ml:id>í²</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="23"/> <br> </region> <br> <region region-id="307" left="96" top="386.25" width="88.5" height="12" align-x="116.25" align-y="396" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- emittance (cm*rad)</p> <br> </text> <br> </region> <br> <region region-id="308" left="210" top="381" width="75.75" height="18.75" align-x="219.75" align-y="396" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id>íµ</ml:id> </ml:eval> </math> <br> <rendering item-idref="24"/> <br> </region> <br> <region region-id="309" left="6" top="405" width="47.25" height="12.75" align-x="31.5" align-y="414" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>beta</ml:id> <ml:real>556</ml:real> </ml:define> </math> 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<rendering item-idref="26"/> <br> </region> <br> <region region-id="312" left="96" top="422.25" width="73.5" height="12" align-x="106.5" align-y="432" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- beam size (cm)</p> <br> </text> <br> </region> <br> <region region-id="313" left="210" top="422.25" width="45" height="13.5" align-x="221.25" align-y="432" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id>îƒ</ml:id> </ml:eval> </math> <br> <rendering item-idref="27"/> <br> </region> <br> <region region-id="314" left="6" top="453" width="51" height="18.75" align-x="15.75" 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height="18.75" align-x="16.5" align-y="492" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>f</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:real>402.5</ml:real> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="29"/> <br> </region> <br> <region region-id="317" left="96" top="482.25" width="69" height="12" align-x="116.25" align-y="492" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- frequency (Hz)</p> <br> </text> <br> </region> <br> <region region-id="318" left="6" top="501" width="24.75" height="12.75" align-x="18" align-y="510" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>q</ml:id> <ml:real>1</ml:real> </ml:define> </math> <br> <rendering item-idref="30"/> <br> </region> <br> <region region-id="319" left="96" top="500.25" width="164.25" height="12" align-x="107.25" align-y="510" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- number of macro-pulses per second </p> <br> </text> <br> </region> <br> <region region-id="320" left="102" top="542.25" width="58.5" height="27.75" align-x="138" align-y="558" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="micro">N</ml:id> <ml:apply> <br> <ml:div/> <ml:id>I</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id>e</ml:id> <ml:id>f</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="31"/> <br> </region> <br> <region region-id="321" left="210" top="543" width="93" height="22.5" align-x="244.5" align-y="558" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="micro">N</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="32"/> <br> </region> <br> <region region-id="496" left="324" top="548.25" width="160.5" height="12" align-x="340.5" align-y="558" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- number of particles in micro-bunche</p> <br> </text> <br> </region> <br> <region region-id="323" left="6" top="579" width="72" height="22.5" align-x="32.25" align-y="594" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="midi">t</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:real>645</ml:real> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-9</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="33"/> <br> </region> <br> <region region-id="324" left="102" top="578.25" width="69" height="27.75" align-x="132.75" align-y="594" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="midi">N</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:div/> <ml:id>I</ml:id> <ml:id>e</ml:id> </ml:apply> <ml:id subscript="midi">t</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="34"/> <br> </region> <br> <region region-id="325" left="210" top="579" width="87.75" height="22.5" align-x="239.25" align-y="594" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="midi">N</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="2" show-trailing-zeros="false" exponential-threshold="2"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="35"/> <br> </region> <br> <region region-id="497" left="324" top="584.25" width="146.25" height="12" align-x="340.5" align-y="594" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- number of particles in midi-pulse</p> <br> </text> <br> </region> <br> <region region-id="327" left="6" top="615" width="81.75" height="22.5" align-x="39.75" align-y="630" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="macro">t</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:real>0.02</ml:real> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="36"/> <br> </region> <br> <region region-id="328" left="102" top="614.25" width="84" height="27.75" align-x="140.25" align-y="630" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="macro">N</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:div/> <ml:id>I</ml:id> <ml:id>e</ml:id> </ml:apply> <ml:id subscript="macro">t</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="37"/> <br> </region> <br> <region region-id="329" left="210" top="615" width="95.25" height="22.5" align-x="246.75" align-y="630" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="macro">N</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="2" show-trailing-zeros="false" exponential-threshold="2"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="38"/> <br> </region> <br> <region region-id="498" left="324" top="620.25" width="155.25" height="12" align-x="340.5" align-y="630" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- number of particles in macro-pulse</p> <br> </text> <br> </region> <br> <region region-id="512" left="30" top="675" width="31.5" height="12.75" align-x="42" align-y="684" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>d</ml:id> <ml:real font="0">0.1</ml:real> </ml:define> </math> <br> <rendering item-idref="39"/> <br> </region> <br> <region region-id="332" left="96" top="674.25" width="171" height="12" align-x="112.5" align-y="684" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- core diameter of scintillating fiber (cm)</p> <br> </text> <br> </region> <br> <region region-id="500" left="288" top="675" width="46.5" height="16.5" align-x="302.25" align-y="684" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="r">c</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:real>0.03</ml:real> <ml:id>d</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="40"/> <br> </region> <br> <region region-id="508" left="354" top="674.25" width="135" height="12" align-x="372.75" align-y="684" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- cladding thickness round fiber</p> <br> </text> <br> </region> <br> <region region-id="506" left="288" top="699" width="48" height="16.5" align-x="303.75" align-y="708" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="s">c</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:real>0.04</ml:real> <ml:id>d</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="41"/> <br> </region> <br> <region region-id="510" left="354" top="698.25" width="140.25" height="12" align-x="372.75" align-y="708" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- cladding thickness square fiber</p> <br> </text> <br> </region> <br> <region region-id="501" left="6" top="723.75" width="193.5" height="44.25" align-x="41.25" align-y="756" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:function> <br> <ml:id>N</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> <ml:id>d</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id>q</ml:id> <ml:id subscript="macro">N</ml:id> </ml:apply> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:minus/> <ml:apply> <br> <ml:id>erf</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:plus/> <ml:id>x</ml:id> <ml:id>d</ml:id> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id>îƒ</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <br> <ml:id>erf</ml:id> <ml:apply> <br> <ml:div/> <ml:id>x</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:sqrt/> <ml:real>2</ml:real> </ml:apply> <ml:id>îƒ</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="42"/> <br> </region> <br> <region region-id="502" left="234" top="746.25" width="282" height="24" align-x="249.75" align-y="756" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">the number of incident particles per second on scintillating fiber with diameter <b>d </b> <br> <inlineAttr font-weight="normal">and </inlineAttr> <br> <inlineAttr font-weight="normal">situated at distance </inlineAttr> <br> <b>x</b> <br> <inlineAttr font-weight="normal"> from beam center.</inlineAttr> <br> </p> <br> </text> <br> </region> <br> <region region-id="335" left="6" top="806.25" width="93" height="13.5" align-x="16.5" align-y="816" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>x</ml:id> <ml:range> <br> <ml:sequence> <br> <ml:real>0</ml:real> <ml:apply> <br> <ml:mult style="default"/> <ml:parens> <br> <ml:apply> <br> <ml:plus/> <ml:real>0</ml:real> <ml:real>0.5</ml:real> </ml:apply> </ml:parens> <ml:id>îƒ</ml:id> </ml:apply> </ml:sequence> <ml:apply> <br> <ml:mult style="default"/> <ml:real>7</ml:real> <ml:id>îƒ</ml:id> </ml:apply> </ml:range> </ml:define> </math> <br> <rendering item-idref="43"/> <br> </region> <br> <region region-id="1141" left="12" top="828" width="291" height="204" align-x="12" align-y="828" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <plot disable-calc="false" item-idref="44"/> <br> <rendering item-idref="45"/> <br> </region> <br> <region region-id="434" left="6" top="1053" width="23.25" height="12.75" align-x="16.5" align-y="1062" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>z</ml:id> <ml:real>1</ml:real> </ml:define> </math> <br> <rendering item-idref="46"/> <br> </region> <br> <region region-id="438" left="54" top="1052.25" width="119.25" height="12" align-x="66.75" align-y="1062" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- charge of incident paticles</p> <br> </text> <br> </region> <br> <region region-id="601" left="216" top="1035.75" width="126" height="66.75" align-x="243.75" align-y="1062" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="max">T</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id subscript="e">E</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>í²</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>í¨</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:plus/> <ml:apply> <br> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id>í¨</ml:id> </ml:apply> <ml:apply> <br> <ml:div/> <ml:id subscript="e">E</ml:id> <ml:id subscript="p">E</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:parens> <br> <ml:apply> <br> <ml:div/> <ml:id subscript="e">E</ml:id> <ml:id subscript="p">E</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="47"/> <br> </region> <br> <region region-id="602" left="360" top="1052.25" width="170.25" height="24" align-x="377.25" align-y="1062" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">the maximum kinetic energy which can be imparted to free electron (MeV)</p> <br> </text> <br> </region> <br> <region region-id="432" left="6" top="1071" width="82.5" height="22.5" align-x="19.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:id>K</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:real>4</ml:real> <ml:id>î€</ml:id> </ml:apply> <ml:id subscript="A">N</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id subscript="e">r</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id subscript="e">E</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="48"/> <br> </region> <br> <region region-id="603" left="216" top="1107" width="60" height="16.5" align-x="242.25" align-y="1116" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="max">T</ml:id> </ml:eval> </math> <br> <rendering item-idref="49"/> <br> </region> <br> <region region-id="449" left="6" top="1148.25" width="523.5" height="24" align-x="13.5" align-y="1158" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The mean rate of energy loss (stopping power) is given by the Bethe-Bloch equation at <b>E < Emip</b> (the energy of minimum ionizing paticles, 4 GeV for protons in Carbon) when the density-effect can be neglected:</p> <br> </text> <br> </region> <br> <region region-id="453" left="12" top="1185.75" width="249" height="45" align-x="71.25" align-y="1212" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id>dEdx</ml:id> <ml:boundVars> <br> <ml:id>Z</ml:id> <ml:id>A</ml:id> <ml:id>I</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id>K</ml:id> <ml:apply> <br> <ml:pow/> <ml:id>z</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:div/> <ml:id>Z</ml:id> <ml:id>A</ml:id> </ml:apply> </ml:apply> <ml:apply> <br> <ml:div/> <ml:real>1</ml:real> <ml:apply> <br> <ml:pow/> <ml:id>í²</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:parens> <br> <ml:apply> <br> <ml:minus/> <ml:apply> <br> <ml:mult style="auto-select"/> <ml:apply> <br> <ml:div/> <ml:real font="0">1</ml:real> <ml:real>2</ml:real> </ml:apply> <ml:apply> <br> <ml:id>ln</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:id subscript="e">E</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>í²</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>í¨</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id subscript="max">T</ml:id> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:pow/> <ml:id>I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-12</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>í²</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <br> <rendering item-idref="50"/> <br> </region> <br> <region region-id="464" left="300" top="1199.25" width="65.25" height="15" align-x="309" align-y="1212" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">[ MeV*cm<sup>2</sup>/g ] </p> <br> </text> <br> </region> <br> <region region-id="454" left="12" top="1251" width="143.25" height="16.5" align-x="121.5" align-y="1260" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id>dEdx</ml:id> <ml:sequence> <br> <ml:id subscript="core">Z</ml:id> <ml:id subscript="core">A</ml:id> <ml:id subscript="core">I</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="51"/> <br> </region> <br> <region region-id="466" left="222" top="1251" width="143.25" height="16.5" align-x="331.5" align-y="1260" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id>dEdx</ml:id> <ml:sequence> <br> <ml:id subscript="clad">Z</ml:id> <ml:id subscript="clad">A</ml:id> <ml:id subscript="clad">I</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="52"/> <br> </region> <br> <region region-id="471" left="12" top="1297.5" width="69" height="28.5" align-x="47.25" align-y="1314" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="r">t</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> <ml:id>î</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:div/> <ml:id>î€</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:id>x</ml:id> </ml:apply> <ml:id>î</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="53"/> <br> </region> <br> <region region-id="843" left="90" top="1304.25" width="233.25" height="12" align-x="99.75" align-y="1314" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- mean thickness of a round scintillating fiber (g/cm^2)</p> <br> </text> <br> </region> <br> <region region-id="848" left="384" top="1304.25" width="86.25" height="17.25" align-x="436.5" align-y="1314" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="r">t</ml:id> <ml:sequence> <br> <ml:id>d</ml:id> <ml:id subscript="core">î</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="54"/> <br> </region> <br> <region region-id="477" left="12" top="1334.25" width="58.5" height="17.25" align-x="48.75" align-y="1344" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="s">t</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> <ml:id>î</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:id>x</ml:id> <ml:id>î</ml:id> </ml:apply> </ml:define> </math> <br> <rendering item-idref="55"/> <br> </region> <br> <region region-id="844" left="90" top="1334.25" width="238.5" height="12" align-x="99.75" align-y="1344" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- mean thickness of a square scintillating fiber (g/cm^2)</p> <br> </text> <br> </region> <br> <region region-id="849" left="384" top="1334.25" width="87.75" height="17.25" align-x="438" align-y="1344" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="s">t</ml:id> <ml:sequence> <br> <ml:id>d</ml:id> <ml:id subscript="core">î</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="56"/> <br> </region> <br> <region region-id="481" left="12" top="1364.25" width="237.75" height="12" align-x="16.5" align-y="1374" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">If the energy loss <f family="Symbol" charset="2" size="10"> <br> <b> <br> <inlineAttr font-style="normal" underline="false" line-through="false">D</inlineAttr> <br> </b> <br> </f> <br> <f family="Arial" charset="0" size="10"> <br> <b> <br> <inlineAttr font-style="normal" underline="false" line-through="false">E << T</inlineAttr> <br> </b> <br> </f> <br> <f family="Arial" charset="0" size="10"> <br> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> (the ion kinetic energy) then</inlineAttr> <br> </f> <br> </p> <br> </text> <br> </region> <br> <region region-id="469" left="12" top="1388.25" width="163.5" height="17.25" align-x="83.25" align-y="1398" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="r">í´E</ml:id> <ml:boundVars> <br> <ml:id>Z</ml:id> <ml:id>A</ml:id> <ml:id>I</ml:id> <ml:id>î</ml:id> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id>dEdx</ml:id> <ml:sequence> <br> <ml:id>Z</ml:id> <ml:id>A</ml:id> <ml:id>I</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:id subscript="r">t</ml:id> <ml:sequence> <br> <ml:id>x</ml:id> <ml:id>î</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="57"/> <br> </region> <br> <region region-id="488" left="198" top="1388.25" width="29.25" height="12" align-x="207" align-y="1398" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(MeV) </p> <br> </text> <br> </region> <br> <region region-id="550" left="324" top="1388.25" width="174" height="17.25" align-x="464.25" align-y="1398" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="r">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="core">Z</ml:id> <ml:id subscript="core">A</ml:id> <ml:id subscript="core">I</ml:id> <ml:id subscript="core">î</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="58"/> <br> </region> <br> <region region-id="483" left="12" top="1412.25" width="166.5" height="17.25" align-x="84.75" align-y="1422" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="s">í´E</ml:id> <ml:boundVars> <br> <ml:id>Z</ml:id> <ml:id>A</ml:id> <ml:id>I</ml:id> <ml:id>î</ml:id> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id>dEdx</ml:id> <ml:sequence> <br> <ml:id>Z</ml:id> <ml:id>A</ml:id> <ml:id>I</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:id subscript="s">t</ml:id> <ml:sequence> <br> <ml:id>x</ml:id> <ml:id>î</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="59"/> <br> </region> <br> <region region-id="490" left="198" top="1412.25" width="29.25" height="12" align-x="207" align-y="1422" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(MeV) </p> <br> </text> <br> </region> <br> <region region-id="1114" left="324" top="1412.25" width="176.25" height="17.25" align-x="466.5" align-y="1422" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="r">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="clad">Z</ml:id> <ml:id subscript="clad">A</ml:id> <ml:id subscript="clad">I</ml:id> <ml:id subscript="clad">î</ml:id> <ml:id subscript="r">c</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="60"/> <br> </region> <br> <region region-id="1112" left="324" top="1436.25" width="171" height="17.25" align-x="465.75" align-y="1446" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="s">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="core">Z</ml:id> <ml:id subscript="core">A</ml:id> <ml:id subscript="core">I</ml:id> <ml:id subscript="core">î</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="61"/> <br> </region> <br> <region region-id="1115" left="324" top="1460.25" width="174.75" height="17.25" align-x="469.5" align-y="1470" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="s">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="clad">Z</ml:id> <ml:id subscript="clad">A</ml:id> <ml:id subscript="clad">I</ml:id> <ml:id subscript="clad">î</ml:id> <ml:id subscript="s">c</ml:id> </ml:sequence> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="62"/> <br> </region> <br> <region region-id="866" left="12" top="1610.25" width="67.5" height="17.25" align-x="29.25" align-y="1620" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="e">T</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="e">E</ml:id> <ml:parens> <br> <ml:apply> <br> <ml:minus/> <ml:id>í¨</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <br> <rendering item-idref="63"/> <br> </region> <br> <region region-id="1109" left="90" top="1610.25" width="186" height="12" align-x="97.5" align-y="1620" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- kinetic energy of stripping electrons (Mev)</p> <br> </text> <br> </region> <br> <region region-id="1111" left="318" top="1611" width="49.5" height="16.5" align-x="333.75" align-y="1620" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="e">T</ml:id> </ml:eval> </math> <br> <rendering item-idref="64"/> <br> </region> <br> <region region-id="933" left="12" top="1643.25" width="520.5" height="30" align-x="21" align-y="1656" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The stopping power dEdx<sub>clad</sub> [Mev*cm<sup>2</sup>/g] of stripping electrons in PMMA cladding at the kinetic energy <b>T</b> <br> <b> <br> <sub>e</sub> <br> </b> <br> </p> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">see link: <b> <br> <u>http://physics.nist.gov/PhysRefData/Star/Text/ESTAR.html </u> <br> </b> <br> <b> <br> <u> <br> <sp/> <br> </u> <br> </b> <br> </p> <br> </text> <br> </region> <br> <region region-id="934" left="12" top="1689" width="196.5" height="12.75" align-x="26.25" align-y="1698" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:id>A</ml:id> <ml:apply> <br> <ml:id>READPRN</ml:id> <ml:str>Polymethyl methacralate.dat</ml:str> </ml:apply> </ml:define> </math> <br> <rendering item-idref="65"/> <br> </region> <br> <region region-id="969" left="12" top="1707.75" width="243" height="21.75" align-x="73.5" align-y="1722" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="clad">dEdx</ml:id> <ml:boundVars> <br> <ml:id subscript="e">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:id>interp</ml:id> <ml:sequence> <br> <ml:apply> <br> <ml:id>cspline</ml:id> <ml:sequence> <br> <ml:apply> <br> <ml:matcol/> <ml:id>A</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>A</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>A</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>A</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id subscript="e">T</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <br> <rendering item-idref="66"/> <br> </region> <br> <region region-id="936" left="288" top="1713" width="93.75" height="16.5" align-x="348" align-y="1722" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="clad">dEdx</ml:id> <ml:id subscript="e">T</ml:id> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="67"/> <br> </region> <br> <region region-id="965" left="6" top="1745.25" width="369.75" height="18" align-x="15" align-y="1758" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The stopping power dEdx<sub>core</sub> [Mev*cm<sup>2</sup>/g] of stripping electrons in Polystyrene core:</p> <br> </text> <br> </region> <br> <region region-id="966" left="12" top="1773" width="145.5" height="12.75" align-x="24.75" align-y="1782" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>B</ml:id> <ml:apply> <br> <ml:id>READPRN</ml:id> <ml:str>Polystyrene.dat</ml:str> </ml:apply> </ml:define> </math> <br> <rendering item-idref="68"/> <br> </region> <br> <region region-id="967" left="12" top="1791.75" width="237" height="21.75" align-x="73.5" align-y="1806" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="core">dEdx</ml:id> <ml:boundVars> <br> <ml:id subscript="e">T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:id>interp</ml:id> <ml:sequence> <br> <ml:apply> <br> <ml:id>cspline</ml:id> <ml:sequence> <br> <ml:apply> <br> <ml:matcol/> <ml:id>B</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>B</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>B</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <br> <ml:matcol/> <ml:id>B</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id subscript="e">T</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> <br> <rendering item-idref="69"/> <br> </region> <br> <region region-id="970" left="294" top="1797" width="93.75" height="16.5" align-x="354" align-y="1806" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="core">dEdx</ml:id> <ml:id subscript="e">T</ml:id> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="70"/> <br> </region> <br> <region region-id="947" left="6" top="1832.25" width="243.75" height="12" align-x="12" align-y="1842" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The energy loss of stripping electrons in cladding (MeV):</p> <br> </text> <br> </region> <br> <region region-id="996" left="12" top="1849.5" width="204.75" height="41.25" align-x="56.25" align-y="1872" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="clad">í´E</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:integral auto-algorithm="true" algorithm="adaptive"/> <ml:lambda> <br> <ml:boundVars> <br> <ml:id>t</ml:id> </ml:boundVars> <ml:apply> <br> <ml:id subscript="clad">dEdx</ml:id> <ml:apply> <br> <ml:minus/> <ml:id subscript="e">T</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id subscript="clad">dEdx</ml:id> <ml:id subscript="e">T</ml:id> </ml:apply> <ml:id>t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:lambda> <ml:bounds> <br> <ml:real>0</ml:real> <ml:id>x</ml:id> </ml:bounds> </ml:apply> </ml:define> </math> <br> <rendering item-idref="71"/> <br> </region> <br> <region region-id="963" left="294" top="1862.25" width="107.25" height="17.25" align-x="367.5" align-y="1872" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="clad">í´E</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="clad">î</ml:id> <ml:id subscript="r">c</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="72"/> <br> </region> <br> <region region-id="964" left="294" top="1886.25" width="104.25" height="17.25" align-x="369" align-y="1896" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:id subscript="clad">í´E</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="clad">î</ml:id> <ml:id subscript="s">c</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="73"/> <br> </region> <br> <region region-id="999" left="6" top="1922.25" width="276.75" height="12" align-x="12" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Estimate of the energy loss of stripping electrons in core (MeV):</p> <br> </text> <br> </region> <br> <region region-id="1004" left="294" top="1922.25" width="144" height="17.25" align-x="404.25" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id subscript="core">dEdx</ml:id> <ml:id subscript="e">T</ml:id> </ml:apply> <ml:apply> <br> <ml:id subscript="r">t</ml:id> <ml:sequence> <br> <ml:id>d</ml:id> <ml:id subscript="core">î</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:eval> </math> <br> <rendering item-idref="74"/> <br> </region> <br> <region region-id="1005" left="6" top="1946.25" width="119.25" height="17.25" align-x="26.25" align-y="1956" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="e">í´E</ml:id> <ml:apply> <br> <ml:minus/> <ml:id subscript="e">T</ml:id> <ml:apply> <br> <ml:id subscript="clad">í´E</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="clad">î</ml:id> <ml:id subscript="r">c</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="75"/> <br> </region> <br> <region region-id="1009" left="174" top="1946.25" width="52.5" height="17.25" align-x="192.75" align-y="1956" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="e">í´E</ml:id> </ml:eval> </math> <br> <rendering item-idref="76"/> <br> </region> <br> <region region-id="1033" left="6" top="1979.25" width="171.75" height="15" align-x="16.5" align-y="1992" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Total energy loss per one H<sup>- </sup>ion (MeV): </p> <br> </text> <br> </region> <br> <region region-id="1043" left="6" top="2000.25" width="279.75" height="17.25" align-x="24.75" align-y="2010" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedUDFunction"> <br> <ml:id subscript="r">í´E</ml:id> <ml:apply> <br> <ml:plus/> <ml:apply> <br> <ml:id subscript="r">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="core">Z</ml:id> <ml:id subscript="core">A</ml:id> <ml:id subscript="core">I</ml:id> <ml:id subscript="core">î</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <br> <ml:apply> <br> <ml:minus/> <ml:id subscript="e">T</ml:id> <ml:apply> <br> <ml:id subscript="clad">í´E</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="clad">î</ml:id> <ml:id subscript="r">c</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="77"/> <br> </region> <br> <region region-id="1060" left="336" top="2000.25" width="51" height="17.25" align-x="353.25" align-y="2010" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="r">í´E</ml:id> </ml:eval> </math> <br> <rendering item-idref="78"/> <br> </region> <br> <region region-id="1044" left="6" top="2030.25" width="284.25" height="17.25" align-x="26.25" align-y="2040" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedUDFunction"> <br> <ml:id subscript="s">í´E</ml:id> <ml:apply> <br> <ml:plus/> <ml:apply> <br> <ml:id subscript="s">í´E</ml:id> <ml:sequence> <br> <ml:id subscript="core">Z</ml:id> <ml:id subscript="core">A</ml:id> <ml:id subscript="core">I</ml:id> <ml:id subscript="core">î</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <br> <ml:apply> <br> <ml:minus/> <ml:id subscript="e">T</ml:id> <ml:apply> <br> <ml:id subscript="clad">í´E</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="clad">î</ml:id> <ml:id subscript="s">c</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="79"/> <br> </region> <br> <region region-id="1062" left="336" top="2030.25" width="52.5" height="17.25" align-x="354.75" align-y="2040" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="s">í´E</ml:id> </ml:eval> </math> <br> <rendering item-idref="80"/> <br> </region> <br> <region region-id="1048" left="6" top="2060.25" width="84" height="33.75" align-x="41.25" align-y="2076" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="ph">íµ</ml:id> <ml:boundVars> <br> <ml:id>í»</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:id>h</ml:id> <ml:apply> <br> <ml:div/> <ml:id>c</ml:id> <ml:apply> <br> <ml:mult style="default"/> <ml:id>í»</ml:id> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-7</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="81"/> <br> </region> <br> <region region-id="1049" left="96" top="2066.25" width="225" height="12" align-x="110.25" align-y="2076" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- photon energy of emmission peak (eV)</p> <br> </text> <br> </region> <br> <region region-id="1050" left="6" top="2102.25" width="93.75" height="60" align-x="14.25" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> Bicron fiber<sp count="2"/>BCF-10</p> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <br> <sp count="19"/>BCF-12</p> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <br> <sp count="19"/>BCF-20</p> <br> </text> <br> </region> <br> <region region-id="1051" left="120" top="2102.25" width="42.75" height="17.25" align-x="141" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="10">í»</ml:id> <ml:real>432</ml:real> </ml:define> </math> <br> <rendering item-idref="82"/> <br> </region> <br> <region region-id="1052" left="120" top="2126.25" width="42.75" height="17.25" align-x="141" align-y="2136" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="12">í»</ml:id> <ml:real>435</ml:real> </ml:define> </math> <br> <rendering item-idref="83"/> <br> </region> <br> <region region-id="1053" left="186" top="2126.25" width="97.5" height="12" align-x="186" align-y="2136" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">- emmision peak (nm) </p> <br> </text> <br> </region> <br> <region region-id="1054" left="120" top="2150.25" width="42.75" height="17.25" align-x="141" align-y="2160" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="20">í»</ml:id> <ml:real>492</ml:real> </ml:define> </math> <br> <rendering item-idref="84"/> <br> </region> <br> <region region-id="1055" left="6" top="2180.25" width="41.25" height="13.5" align-x="18.75" align-y="2190" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id>î‡</ml:id> <ml:real>0.024</ml:real> </ml:define> </math> <br> <rendering item-idref="85"/> <br> </region> <br> <region region-id="1056" left="60" top="2180.25" width="186.75" height="12" align-x="83.25" align-y="2190" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- scintillation efficiency for BCF-10, -12, -20</p> <br> </text> <br> </region> <br> <region region-id="1091" left="6" top="2198.25" width="51.75" height="17.25" align-x="24.75" align-y="2208" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="r">í©</ml:id> <ml:real>0.0344</ml:real> </ml:define> </math> <br> <rendering item-idref="86"/> <br> </region> <br> <region region-id="1092" left="72" top="2198.25" width="48.75" height="17.25" align-x="92.25" align-y="2208" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="s">í©</ml:id> <ml:real>0.044</ml:real> </ml:define> </math> <br> <rendering item-idref="87"/> <br> </region> <br> <region region-id="1093" left="144" top="2198.25" width="252.75" height="12" align-x="160.5" align-y="2208" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- trapping efficiency of round and square fibers respectively</p> <br> </text> <br> </region> <br> <region region-id="1100" left="6" top="2225.25" width="507.75" height="15" align-x="15" align-y="2238" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The total number of scintillation photons per one H<sup>-</sup> ion was traped by fiber: </p> <br> </text> <br> </region> <br> <region region-id="1101" left="6" top="2242.5" width="90" height="42" align-x="32.25" align-y="2268" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="r">nph</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id>î‡</ml:id> <ml:id subscript="r">í©</ml:id> </ml:apply> <ml:id subscript="r">í´E</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:id subscript="ph">íµ</ml:id> <ml:id subscript="20">í»</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="88"/> <br> </region> <br> <region region-id="1102" left="120" top="2259" width="51.75" height="16.5" align-x="144.75" align-y="2268" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="r">nph</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="0" show-trailing-zeros="false" exponential-threshold="3"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="89"/> <br> </region> <br> <region region-id="1106" left="210" top="2258.25" width="312.75" height="24" align-x="226.5" align-y="2268" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">trapping efficiency for round fiber ranges from 3.4% for events occurring at the fiber axis to ~ 7% for events near core-cladding interface.</p> <br> </text> <br> </region> <br> <region region-id="1108" left="210" top="2300.25" width="328.5" height="24" align-x="226.5" align-y="2310" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">for square fiber trapping efficiency is 4.4% and is independent of the scintillation event's location in the fiber.</p> <br> </text> <br> </region> <br> <region region-id="1103" left="6" top="2290.5" width="94.5" height="42" align-x="33.75" align-y="2316" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="s">nph</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id>î‡</ml:id> <ml:id subscript="s">í©</ml:id> </ml:apply> <ml:id subscript="s">í´E</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:id subscript="ph">íµ</ml:id> <ml:id subscript="20">í»</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="90"/> <br> </region> <br> <region region-id="1104" left="120" top="2307" width="53.25" height="16.5" align-x="146.25" align-y="2316" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:eval> <br> <ml:id subscript="s">nph</ml:id> </ml:eval> <resultFormat> <br> <general radix="dec" complex-threshold="10" precision="0" show-trailing-zeros="false" exponential-threshold="3"/> <br> <matrix display-style="auto" expand-nested-arrays="false"/> <br> <unit format-units="true" simplify-units="true"/> <br> </resultFormat> <br> </math> <br> <rendering item-idref="91"/> <br> </region> <br> <region region-id="1129" left="12" top="2385" width="31.5" height="12.75" align-x="24" align-y="2394" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:id>L</ml:id> <ml:real>3.0</ml:real> </ml:define> </math> <br> <rendering item-idref="92"/> <br> </region> <br> <region region-id="1131" left="66" top="2384.25" width="162.75" height="12" align-x="78" align-y="2394" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- the length of a scintillating fiber (cm)</p> <br> </text> <br> </region> <br> <region region-id="1125" left="12" top="2416.5" width="150.75" height="53.25" align-x="39" align-y="2442" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="r">G</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id>N</ml:id> <ml:sequence> <br> <ml:id>x</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="r">í´E</ml:id> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id>e</ml:id> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="core">î</ml:id> <ml:apply> <br> <ml:div/> <ml:id>î€</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>d</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id>L</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="93"/> <br> </region> <br> <region region-id="1134" left="192" top="2432.25" width="40.5" height="12" align-x="196.5" align-y="2442" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(Gy/sec) </p> <br> </text> <br> </region> <br> <region region-id="1144" left="276" top="2433" width="86.25" height="16.5" align-x="317.25" align-y="2442" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="r">RAD</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id subscript="r">G</ml:id> <ml:id>x</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <br> <rendering item-idref="94"/> <br> </region> <br> <region region-id="1137" left="6" top="2470.5" width="140.25" height="47.25" align-x="34.5" align-y="2496" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="s">G</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id>N</ml:id> <ml:sequence> <br> <ml:id>x</ml:id> <ml:id>d</ml:id> </ml:sequence> </ml:apply> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="r">í´E</ml:id> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id>e</ml:id> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="core">î</ml:id> <ml:apply> <br> <ml:pow/> <ml:id>d</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id>L</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="95"/> <br> </region> <br> <region region-id="1140" left="192" top="2486.25" width="40.5" height="12" align-x="196.5" align-y="2496" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">(Gy/sec) </p> <br> </text> <br> </region> <br> <region region-id="1145" left="276" top="2487" width="89.25" height="16.5" align-x="318.75" align-y="2496" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id subscript="s">RAD</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:id subscript="s">G</ml:id> <ml:id>x</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <br> <rendering item-idref="96"/> <br> </region> <br> <region region-id="1143" left="24" top="2532" width="316.5" height="210" align-x="24" align-y="2532" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <plot disable-calc="false" item-idref="97"/> <br> <rendering item-idref="98"/> <br> </region> <br> <region region-id="1175" left="6" top="2745.75" width="231" height="45.75" align-x="39" align-y="2778" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define warning="WarnRedefinedBIUnit"> <br> <ml:function> <br> <ml:id>S</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> <ml:id>d</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id>q</ml:id> <ml:id subscript="macro">N</ml:id> </ml:apply> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:minus/> <ml:apply> <br> <ml:id>erf</ml:id> <ml:apply> <br> <ml:div/> <ml:apply> <br> 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push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">the number of incident particles per second on scintillating fiber with diameter <b>d </b> <br> <inlineAttr font-weight="normal">and </inlineAttr> <br> <inlineAttr font-weight="normal">situated at distance </inlineAttr> <br> <b>x</b> <br> <inlineAttr font-weight="normal"> from beam center within +- </inlineAttr> <br> <f family="Symbol" charset="2" size="10"> <br> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false">s</inlineAttr> <br> </f> <br> <f family="Arial" charset="0" size="10"> <br> <inlineAttr font-weight="normal" font-style="normal" underline="false" line-through="false"> along of the fiber</inlineAttr> <br> </f> <br> <inlineAttr font-weight="normal">.</inlineAttr> <br> </p> <br> </text> <br> </region> <br> <region region-id="1177" left="6" top="2811" width="56.25" height="16.5" align-x="36" align-y="2820" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:id subscript="core">C</ml:id> <ml:real>1260</ml:real> </ml:define> </math> <br> <rendering item-idref="100"/> <br> </region> <br> <region region-id="1178" left="96" top="2807.25" width="219" height="15" align-x="97.5" align-y="2820" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="true"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">- heat capacity of polystyrene core (J*kg<sup>-1</sup> <br> <inlineAttr>*</inlineAttr> <br> <inlineAttr>K</inlineAttr> <br> <sup>-1</sup> <br> <inlineAttr>)</inlineAttr> <br> </p> <br> </text> <br> </region> <br> 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show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">total energy loss </p> <br> </text> <br> </region> <br> <region region-id="1186" left="6" top="2858.25" width="156.75" height="43.5" align-x="36" align-y="2874" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <math optimize="false" export="false" disable-calc="false"> <br> <ml:define> <br> <ml:function> <br> <ml:id>í”T</ml:id> <ml:boundVars> <br> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <br> <ml:div/> <ml:apply> <br> <ml:id>P</ml:id> <ml:id>x</ml:id> </ml:apply> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:apply> <br> <ml:mult style="default"/> <ml:id subscript="core">C</ml:id> <ml:id subscript="core">î</ml:id> </ml:apply> <ml:apply> <br> <ml:div/> <ml:id>î€</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:id>d</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id>îƒ</ml:id> </ml:apply> <ml:apply> <br> <ml:pow/> <ml:real>10</ml:real> <ml:real>-3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <br> <rendering item-idref="102"/> <br> </region> <br> <region region-id="1187" left="198" top="2864.25" width="240.75" height="12" align-x="217.5" align-y="2874" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <br> <text use-page-width="false" push-down="false" lock-width="false"> <br> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" 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