Документ взят из кэша поисковой машины. Адрес оригинального документа : http://nuclphys.sinp.msu.ru/school/s08/s08_21.pdf Дата изменения: Mon Nov 17 19:40:42 2008 Дата индексирования: Tue Oct 2 00:30:57 2012 Кодировка:

.. , .., .., ..
(); «» . .. azarovav@hotbox.ru Analyzed the mathematical model of ring cavity modes polarization and spectral characteristics calculation. Compared the results of the numerical calculations and experimental measurements of the mirrors and the ring non-planar cavities characteristics. Shown that this calculation method may be applied for optimal completed of the laser cavities by the mirrors. So it may be applied for alignment and cavity selectivity testing technology for fundamental mode generation into the laser gyros sources.

1. . , [1-3]. , , . . . . 2. . [4]. , ( ) - sin j co s j Mj = pj (1 ) , - p sin co s j j j

sin 2 1 1- j = arccos 2 2 nj , n j h j cos j , p j = n j cos j , j =


1- , - . ( ) Mj pj qj.
qj = co s n
j j

j , nj hj j- . Qj j- . N : A( HL) HG , H L ­ , A G ­ ( ) n1 nG , . rTE rTM .
rTE =

(M (M

11 11

p1 - M 22 p p1 + M 22 p

G G

) + (M ) + (M

12 12

pG p1 - M pG p1 + M

21 21

) )

rTM =

(M 11q1 (M 11q1

- M 22 qG ) + (M 12 qG q1 - M + A22 qG ) + (M 12 qG q1 + M

21 21

) )

.

: RTM = rTM rT*M . R = r r* ;
TE TE TE

:
rTE = arctg
Im rTE Re rTE

rTM = arctg
,

Im rTM Re rTM

- : :
0 rTM expi 2 Z= 0 - rTE exp - i 2 .

. = rTM - rTE ,

(2 )

. . .1 "Mathcad" , . , - . .


.1. 17- TiO2-SiO2 /10 ( =632 ), .

, , , , . "" . 3. .

.2 . ­ .

(.2), [1,2,5].


E = E ,

(3 )

= M


M

11 21

M M

12 22



-

,

, ; E ; - .

1,2

=

1 Sp M ± (Sp M ) 2 - 4D et M , 2

Ex / E

y 1, 2

= M 12 / (

1, 2

- M 11 ) .

(Sp M ) 2 - 4D et M < 0 , ,

[

]

, (- ). "" M cw M ccw :
M
ccw

=M

cw

cos( = si n (

) )

- sin ( ) = S ( ) , cos( )

- . ,1,2 = exp( ±i ) ,
Ex / E
y 1,2

= exp( ±i / 2) = ±i . ,

, 2 . , , , . , . , . -, , -, . , ( ) . , - . , (CW), ­ (CCW). ­ ( "" ). (


( ­ ,

) , (CW CCW) ­ ).

.3. c L=16 () (), (). , ­ .

3.1. . (3), (2). , , [5]:

mnqp

=

c L

arg P q + (m + n + 2 ) S + (m - n + 2 ) , 4 4

(4 )

m,n,q - p, arg P- , - .
s = arccos 1 - sec 1 - cos . R R
L L

, , s ­ R

:


- . . - . - 2- , , . , .4. 11° L16. , (6). 10q 01(q+1), . . , .

.4. (=22,5°) L=16. 10q 01(q+1) 0,8 ( 1- )=0,08., ( 2- ) = -0,08. 0 ( 3- 4- ), R2. . ( 10%).

, . .


4. . . . . . . , 01 10 . . . , , , . ( 07-02-13662).
1. .., .., .., .., .., .., . .// , 4 (19), .7-16, 1997. 2. .., .., .. . // , 30, 2, 2000. 3. «-1». 2- .//-78931, 2006. 4. . ., « », «», . 1970. 5. .., .. . // , 3,7, 1976. 6. . . , . . . // , . 32, 3, . 239-242, 2002.
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