WSEAS Transactions on Communications
Print ISSN: 1109-2742, E-ISSN: 2224-2864
Volume 20, 2021
Mathematical Models of Microwave and Photonic Devices Engaging Strong Nonlinearities using Decomposition on Nonlinear Autonomous Blocks
Authors: ,
Abstract: Mathematical modeling technique based on solving the nonlinear Maxwell’s equations (Eqs.)
rigorously using the decomposition approach on nonlinear autonomous blocks partially filled by the nonlinear
media with a “strong” nonlinearity (NABs) and reliable engineering method for numerical computation of
microwave and photonic nonlinear 3D devices engaging strong nonlinearities, applicable in CAD, were
developed. To determine the NAB descriptors the iterative computational process for solving the nonlinear 3D
diffraction boundary problems with the non-asymptotic radiation boundary conditions on the NAB bounds was
performed using the projection method. The iteration method of recomposition of NABs is developed using the
linearization of its descriptors. Using the computational algorithm for solving nonlinear diffraction boundary
problems performed as NABs and improved computation algorithm of determination of bifurcation points the
nonlinearity thresholds in the magnetic nanoarrays at microwaves were numerically simulated.
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Keywords: decomposition, engaging strong nonlinearities, nonlinear autonomous blocks, iterative
computational process.
Pages: 44-51
DOI: 10.37394/23204.2021.20.6