On the Eigenvalues of the Volume Integral Operator of Electromagnetic Scattering

DOI10.1137/S1064827598338962zbMath0973.78012OpenAlexW2025157858MaRDI QIDQ4509798

Jussi Rahola

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827598338962

zbMATH Keywords

iterative methodsvolume integral equationselectromagnetic scatteringspectrum of volume integral operators

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Iterative numerical methods for linear systems (65F10) Integral operators (45P05) Eigenvalue problems for integral equations (45C05)

Related Items (13)

Solving the volume integral equations of electromagnetic scattering ⋮ A parallel Monte Carlo method for solving electromagnetic scattering in clusters of dielectric objects ⋮ Volume integral equations for electromagnetic scattering by an orthotropic infinite cylinder ⋮ Stability analysis of a simple discretization method for a class of strongly singular integral equations ⋮ The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization ⋮ Volume integral operators in electromagnetic scattering by homogeneous anisotropic dielectric bodies ⋮ Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media ⋮ Volume singular integral equations for problems of scattering on three-dimensional dielectric structures ⋮ A generalized overrelaxation method for solving singular volume integral equations in low-frequency scattering problems ⋮ Singular electromagnetic modes in an anisotropic medium ⋮ Volume integral equations for electromagnetic scattering in two dimensions ⋮ Volume and surface integral equations for electromagnetic scattering by a dielectric body ⋮ The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body

Uses Software

• LAPACK
• Schwarz-Christoffel
• SC Toolbox

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