PARAMETRIC AMPLIFICATION AND FREQUENCY-CONVERSION WITH TIME-DEPENDENT PUMP-AMPLITUDE AND PHASE

被引:6
作者
PRANTS, SV
机构
[1] Pacific Oceanological Institute, 690032 Vladivostok
关键词
D O I
10.1016/0030-4018(90)90359-2
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
New exact analytic solutions of the Heisenberg equations for parametric amplification and frequency conversion processes, involving both pump-amplitude and phase modulations, connected via an arbitrary time-dependent function, are obtained in terms of Legendre functions. Moreover, exact solutions in the presence of phase modulation only are obtained in terms of Bessel functions for a whole class of modulation laws. © 1990.
引用
收藏
页码:271 / 273
页数:3
相关论文
共 13 条
[1]  
Abramowitz M., 1968, HDB MATH FUNCTIONS
[2]  
Allen L., 1987, WILEYINTERSCIENCE PU, V28
[3]   ANALYTIC SOLUTIONS TO THE 2-STATE PROBLEM FOR A CLASS OF COUPLING POTENTIALS [J].
BAMBINI, A ;
BERMAN, PR .
PHYSICAL REVIEW A, 1981, 23 (05) :2496-2501
[4]   SOME CONSEQUENCES OF PUMP COHERENCE ON ENERGY EXCHANGE IN NONLINEAR OPTICAL PROCESSES [J].
CROSIGNANI, B ;
GANIEL, U ;
SOLIMENO, S ;
YARIV, A .
PHYSICAL REVIEW LETTERS, 1971, 27 (05) :237-+
[5]   2-STATE PROBLEMS INVOLVING ARBITRARY AMPLITUDE AND FREQUENCY MODULATIONS [J].
HIOE, FT ;
CARROLL, CE .
PHYSICAL REVIEW A, 1985, 32 (03) :1541-1549
[6]  
LOUISELL WH, 1961, PHYS REV, V124, P646
[7]  
LU EYC, 1972, PHYS REV, V8, P1053
[8]   AN ALGEBRAIC APPROACH TO QUADRATIC PARAMETRIC PROCESSES [J].
PRANTS, SV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (17) :3457-3462
[9]   DEGENERATE PARAMETRIC AMPLIFICATION WITH TIME-DEPENDENT PUMP AMPLITUDE AND PHASE [J].
RAIFORD, MT .
PHYSICAL REVIEW A, 1974, 9 (05) :2060-2069
[10]   Double stern-gerlach experiment and related collision phenomena [J].
Rosen, N ;
Zener, C .
PHYSICAL REVIEW, 1932, 40 (04) :0502-0507