Optimization of the matrix Fourier-filter for a class of nonlinear optical models with an integral objective functional

DOI10.1007/S10598-020-09494-8zbMath1460.78024OpenAlexW3093852493MaRDI QIDQ830978

A. V. Razgulin, Sofia V. Sazonova

Publication date: 10 May 2021

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-020-09494-8

zbMATH Keywords

functionalfeedbackgradientFourier-filter controlFourier-filteringfunctional-differential diffusion equationmatrix Fourier-filternonlinear optical modelsnumerical solution of optimization problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Partial functional-differential equations (35R10) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

• Projection--difference method for controlled Fourier filtering
• On the matrix Fourier filtering problem for a class of models of nonlinear optical systems with a feedback
• Hopf bifurcation in diffusive model of nonlinear optical system with matrix Fourier filtering
• Projection-gradient method for quasidifferentiable functionals with Hölder-continuous gradient
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