We developed an explicit analytical solution of FWM under the laser beam propagation in a medium with cubic nonlinear response in the framework of both plane wave approximation and long pulse duration approximation. We used the approach based on the problem invariants and assumption of equal pump-wave amplitudes. It is impossible to get the explicit solution of the problem under consideration without taking into account the problem invariants. The developed analytical solution allows providing a full analysis of FWM modes in the space of interaction parameters. We have shown, in particular, the existence of bistable mode for energy conversion from the pump waves to the signal wave. This mode of energy conversion is very important for FWM experiments explaining.

Date Published: 27 April 2016
PDF: 11 pages
Proc. SPIE 9894, Nonlinear Optics and its Applications IV, 989412 (27 April 2016); doi: 10.1117/12.2225176

Published in SPIE Proceedings Vol. 9894:
Nonlinear Optics and its Applications IV
Benjamin J. Eggleton; Neil G. R. Broderick; Alexander L. Gaeta, Editor(s)