Pattern formation in nonlinear optical systems with spatially distributed feedback

Vladimir Yu. Ivanov; Nikita G. Irochnikov

doi:10.1117/12.258270

14 November 1996 Pattern formation in nonlinear optical systems with spatially distributed feedback

Vladimir Yu. Ivanov, Nikita G. Irochnikov

Proceedings Volume 2847, Applications of Digital Image Processing XIX; (1996) https://doi.org/10.1117/12.258270
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

Transverse interactions and pattern formation processes occurring in passive ring resonator with thin Kerr medium are theoretically and numerically investigated. In the system diffraction effects can determine spatial destabilization of laser beam profile with formation of regular structures in a transverse plane. Theoretical model for the evolution of the intracavity field and nonlinear phase modulation in the medium was elaborated. System of equations for steady state phase and intensity was derived, and linear stability analysis was carried out. We make some simple predictions about spatial stability of a plane wave and prove the existence of instability domains linked to the onset of transverse modulation of the filed profile. Results of numerical simulations are also presented.

Citation Download Citation

Vladimir Yu. Ivanov and Nikita G. Irochnikov "Pattern formation in nonlinear optical systems with spatially distributed feedback", Proc. SPIE 2847, Applications of Digital Image Processing XIX, (14 November 1996); https://doi.org/10.1117/12.258270

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