Optimization of the Matrix Fourier-Filter for a Class of Nonlinear Optical Models with an Integral Objective Functionalстатья
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Дата последнего поиска статьи во внешних источниках: 29 апреля 2021 г.
Аннотация:We consider a new formulation of the Fourier-filtering problem that uses matrix Fourier-filters as the controls in nonlinear optical models described by quasi-linear functional-differential diffusion equations. Solvability of the control problem is proved for various classes of matrix Fourier-filters with a time-integral objective functional. Differentiability of the functional with respect to the matrix Fourier-filter and convergence of a variant of the gradient projection method are proved. Examples of numerical simulation of controlled structure formation are presented, and the advantages of matrix Fourier-filters compared with traditional multiplier filters are demonstrated.