Документ взят из кэша поисковой машины. Адрес оригинального документа : http://nuclphys.sinp.msu.ru/school/s09/09_07.pdf Дата изменения: Wed Oct 21 14:26:00 2009 Дата индексирования: Tue Oct 2 00:29:24 2012 Кодировка: Поисковые слова: m 5

.. , .. , ..
E-mail: i.saveliev@gmail.com, y.stakhmich@live.ru In article expressions for a spectrum of frequencies and spatial distribution of scalar amplitudes of a field of cross-section modes of nonplanar stigmatic resonator are received and plotes of dependences of intensity of a field of the first cross-section modes from cross-section coordinates are resulted. The distinctive feature of these modes is a circular symmetry of the distribution of a field and dependence of frequencies of modes on a field angle of rotation in the resonator.

, [1-3], . . ABCD-, [4]. , R f = , R ­ 2 . ABCD- : A B M = (1), C D A = (1 - L / f ) S (-) (2), B = LS (-) (3), C = -(1 / f ) S (-) (4), D = S ( - ) (5), ­ , L ­ , S() - , S() - S(), cos - sin S ( ) = (6). sin cos


, , , . : c {2l + (m + n + 1) + (m - n ± 1)} mn = (7), 2L L ­ , , - , , l ­ , , ­ , /, m, n ­ , ­ . : mn = 00 H mn (t , v) (8), 00 - TEM00. 00 : - k x2 + y2 1+ i (1 + i 2 f sin ) 00 = exp (9), 2L 4f k ­ , L ­ , , x, y ­ , , m, n ­ , f ­ , , ­ , H mn (t , v) - [5]: 1 m(m - 1) mn n n n H mn (t , v ) = t1m t 2 - [ 11t1m - 2 t 2 + 12 t1m -1t 2 -1 + 2 1 1 (10). 1 n(n - 1) m n-2 + 22 t1 t 2 ] + ... 21 : - y + ix t = 2k sin (11), y + ix 0 1 = 4kL sin (12). 1 0 . : a = 0.04 , f = 1.2 , = 0.63*10-6 , , x = [-0.002; 0.002], y = [-0.002; 0.002]

(

)


. 1. 00 ( - , - ).

. 2. 01 ( - , - ).

. 3. 10 ( - , - ).


. 4. 20 ( - , - ).

. 5. 11 ( - , - ).



- . - 00, 01, 10, 20, 11 . - . - . - : , , .


1. .. . // . ­ 1968. - . 25, 2. 2. J.A.Arnaud Nonorthogonal Optical Waveguides and Resonators // The Bell Technical Journal. ­ 1970. ­ Vol. 49, 11. - P. 2311 - 2348. 3. .., .. // . ­ 1976. - . 3, 7. - . 1517- 1526. 4. .., .. ABCD ­ // IX « , , » / . .. .. / . ­ 2008. ­ . 79 ­ 83. 5. ., . : . . . ­ .: , 1974. ­ 832 .