Properties of nonlinear three-wave interactions in dissipation media

Shi-pan Gan; MingHua Hong; Xian-min Wang

doi:10.1117/12.58083

1 April 1992 Properties of nonlinear three-wave interactions in dissipation media

Shi-pan Gan, MingHua Hong, Xian-min Wang

Proceedings Volume 1626, Nonlinear Optics III; (1992) https://doi.org/10.1117/12.58083
Event: OE/LASE '92, 1992, Los Angeles, CA, United States

Abstract

In this paper, the three-wave interactions in a nonlinear dissipation medium are researched and three conclusions obtained. (1) The three-wave interactions may give bifurcation and have chaotic solutions. Chaotic criteria are given for less dissipation of pump wave. (2) The stable and analytical asymptotical solution is obtained for more dissipation of pump wave. (3) The stable asymptotical solution and the criteria of Hopff bifurcation are obtained and the Hopff bifurcation may make the transfer of momentum and energy.

Citation Download Citation

Shi-pan Gan, MingHua Hong, and Xian-min Wang "Properties of nonlinear three-wave interactions in dissipation media", Proc. SPIE 1626, Nonlinear Optics III, (1 April 1992); https://doi.org/10.1117/12.58083

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