Документ взят из кэша поисковой машины. Адрес оригинального документа : http://genphys.phys.msu.su/rus/edu/opt/II_2/Lections/Lection09.pdf Дата изменения: Tue Mar 27 19:20:23 2012 Дата индексирования: Tue Oct 2 00:21:42 2012 Кодировка:


I(P)/I0 4

1

0 b << b, N >> 1


b


b >> b, N << 1


b ~b, N ~1




· 1. . · 2. , ( ). .



· 1. . · 2. . .


( )

z

( )


.

. . d0 = 5 = 0.5 , : r02 25 10-6 b = = = 12, 5 -6 4 0 .5 1 0

0. 5 1 0 = d 0 0 . 5 10



-6 -2

10-4 180 60 = 10 0.34 ' 3.14
-4


. = 0.5 d0 = 0.5 c f = 1 . : f 1 -6 d f 2 = 2 0.5 10 = 2 10 -4 = 0.2 , d 0.5 10 -2 f2 1 -6 = 4 10 -2 = 4 . l f 2 2 = 2 0.5 10 0.25 10 -4 d0


4.8.
· -


1. , , , ( ()).


2. , . ,
2
*

.


3. - , . .


4. , . 5.
i




(

+k

2

)

A (r ) = 0



-
1 A(P ) = 4




l - ik A n

-


l

- ik

A n



d


-

A (P ) =



0

A

l
0

- ik

1




1

l

- ik



i ( c o s 1 - c o s ) d 2




·

il A(P) =

- i k b0



b0



0

- ik

(

x - x

)

2

+( y - y

)

2

A 0 l

2 b0

d

·

il A(P) =

-ikb

b


0

A 0l

ik

rr' b

il d =

-ikb

b


0

A 0l

ik

xx'+yy' b

dxdy


Close to the s li t

z

Far from the s li t




.

· .




2 lxly 1 2l 2l I(P) = I(kx,ky ) = A(kx,ky ) = I0 sinc x sinc y 2 b

2






3.

r' s in = b

k

xy

= k s in

k r = ( kz + k

xy

)

r = kxy r = kxy r cos( - ')


il A(P) =
=

-ikb

b
i


0

il A0 l d =
ikr

-ikb

2 R

b
l
ik
xy

A0


00

l

ikxyr cos(- ')

rdrd =





l

- ik b

b

A

0


00

R 2

r c o s ( - ')

d rdr


2


0

l

i cos( - '

)

d = 2 J0 ()
R

·

il A(P) =

-ikb

b

il A0 2 J0 (kxyr)rdr =
0

2R A0 J1(kxy R) = kxy b

-ikb

il = A( ) =

-ikb



b

A0 R

2

2J1 ( )


kRsin =
2 R



sin


R 2J1 ( ) 1 2 I ( ) = A( ) = I0 2 b
2

2

2

kRsin =

2 R



sin



4.
· ­ , ()
. 1. ­ . 2. ­ . 3. ­ ­ |t(x,y)| 1, (x,y) = 0. ­ . 4. ­ ­ |t(x,y)| = 1, (x,y) 0. ­ , . 5. - ­ , ­ |t(x,y)| 1, (x,y) 0.