Symbolic investigation of the spectral characteristics of guided modes in smoothly irregular waveguides

DOI10.1134/S0361768822020049zbMath1501.65097OpenAlexW4224288382MaRDI QIDQ2142974

Dmitriy V. Divakov, A. A. Tyutyunnik

Publication date: 30 May 2022

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768822020049

zbMATH Keywords

guided modessymbolic methodirregular waveguides

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Partial functional-differential equations (35R10) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Symbolic-numerical modeling of the propagation of adiabatic waveguide mode in a smooth waveguide transition, Symbolic-numerical implementation of the Galerkin method for approximate solution of the waveguide diffraction problem, Computer algebra tools for geometrization of Maxwell's equations

Uses Software

• Maple

Cites Work

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• Symbolic investigation of eigenvectors for general solution of a system of ODEs with a symbolic coefficient matrix
• The implementation of the symbolic-numerical method for finding the adiabatic waveguide modes of integrated optical waveguides in CAS Maple
• Symbolic-numeric implementation of the four potential method for calculating normal modes: an example of square electromagnetic waveguide with rectangular insert
• Discretization of quasilinear evolution equations by computer algebra methods
• Computer modeling of hydrogen-like atoms in quantum mechanics with nonnegative distribution function
• A symbolic-numerical algorithm for the computation of matrix elements in the parametric eigenvalue problem
• Generation of difference schemes for the Burgers equation by constructing Gröbner bases
• Analytical Calculations in Maple to Implement the Method of Adiabatic Modes for Modelling Smoothly Irregular Integrated Optical Waveguide Structures
• Joint application of the incomplete Galerkin method and scattering matrix method for modeling multilayer diffraction gratings
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Numerical and Analytical Modeling of Guided Modes of a Planar Gradient Waveguide