Diffraction problems and inversion of infinite structured matrices

DOI10.1006/JMAA.2000.6837zbMath0957.65020OpenAlexW1993108245MaRDI QIDQ1576946

Alexander L. Sakhnovich

Publication date: 27 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6837

zbMATH Keywords

Helmholtz equationdiffractionwaveguideinfinite systems of linear equations

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

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• Algebraic methods for Toeplitz-like matrices and operators
• General theory of regular matrix polynomials and band Toeplitz operators
• Displacement ranks of matrices and linear equations
• The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems.
• A method for solving diffraction problems
• Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
• Integral equations with difference kernels on finite intervals

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