Localized and periodic patterns in a nonlinear optical system with controlled transforms of spatial arguments

Alexander Vitalievic Razgulin

doi:10.1117/12.340062

28 January 1999 Localized and periodic patterns in a nonlinear optical system with controlled transforms of spatial arguments

Alexander Vitalievic Razgulin

Author Affiliations +

Proceedings Volume 3733, ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies; (1999) https://doi.org/10.1117/12.340062
Event: ICONO '98: Laser Spectroscopy and Optical Diagnostics: Novel Trends and Applications in Laser Chemistry, Biophysics, and Biomedicine, 1998, Moscow, Russian Federation

Abstract

A class of models for 2-D optical systems with nonlocal transforms of spatial arguments in a feedback loop is considered. We propose applying optimal control technique and theory of distribution to controlled irreversible transforms of spatial arguments. The gradient descent method is used for the formation of localized and periodic patterns. It is proved numerically that 'optimal' transforms which produce these patterns should be of irreversible types.

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Alexander Vitalievic Razgulin "Localized and periodic patterns in a nonlinear optical system with controlled transforms of spatial arguments", Proc. SPIE 3733, ICONO '98: Nonlinear Optical Phenomena and Coherent Optics in Information Technologies, (28 January 1999); https://doi.org/10.1117/12.340062

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