This article is cited in 3 papers

On modeling of distortions suppression in nonlinear optical system with delayed feedback loop

T. E. Romanenko, A. V. Razgulin

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics, 119991, Moscow, Leninskie gory, 1-52

Abstract: This paper deals with the effect of suppression of phase distortions for an optical system with feedback described by parabolic functional differential equation with time delay and spatial shift. Simplified model of delayed differential equations is proposed. It allows one to perform the analytical study of suppression of harmonic distortions. The obtained results are compared with the results of numerical modelling for the initial problem, focused on how rotation and delay affect on distortion suppression.

Keywords: delay, functional differential equation, feedback optical system, stability, suppression of distortions.

UDC: 517.929, 517.95, 51-73

Received: 13.02.2014

 English version: Mathematical Models and Computer Simulations, 2015, 7:3, 259–270

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