Abstract

The parametric decay and sum-frequency generation of intense optical radiation, in a medium with both second- and third-order nonlinearities, is considered. In steady state, nonlinear wave-number shifts usually detune these interactions before a complete exchange of energy between the pump and product waves can be achieved. Fortunately, however, it is possible to compensate for this nonlinear detuning by imposing a linear wave-number mismatch on each type of interaction. Simple criteria are given for the conditions under which a complete exchange of energy is possible, and a simple expression is obtained for the required medium length. Some exact solutions of the three-wave equations are used to illustrate the underlying wave physics, and some useful approximate solutions are described. As an application of the general theory, Type II frequency doubling in a KDP crystal is discussed briefly.

© 1993 Optical Society of America

Nonlinear detuning of four-wave interactions

C. J. McKinstrie, X. D. Cao, and J. S. Li
J. Opt. Soc. Am. B 10(10) 1856-1869 (1993)

Third-order three-wave mixing in single-mode fibers: exact solutions and spatial instability effects

G. Cappellini and S. Trillo
J. Opt. Soc. Am. B 8(4) 824-838 (1991)

Accurate calculation of the optimum phase-matching parameters in three-wave interactions with biaxial nonlinear-optical crystals

Jianquan Yao, Weidong Sheng, and Weiqiang Shi
J. Opt. Soc. Am. B 9(6) 891-902 (1992)

Three-wave soliton interaction of ultrashort pulses in quadratic media

Edem Ibragimov and Allan Struthers
J. Opt. Soc. Am. B 14(6) 1472-1479 (1997)

Impact of longitudinal phase-matching variations on three-wave nonlinear interactions

Christophe Dorrer
Opt. Mater. Express 13(7) 2083-2100 (2023)