Muller boundary integral equations for solving generalized complex-frequency eigenvalue problem

DOI10.1134/S1995080220070343zbMath1454.35064OpenAlexW3166370578MaRDI QIDQ2206945

A. O. Oktyabrskaya, A. O. Spiridonov, E. M. Karchevskij

Publication date: 27 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220070343

zbMATH Keywords

eigenvalue problemHelmholtz equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

Characteristic equations for true and fictitious eigenvalues of Muller boundary integral equations ⋮ Muller boundary integral equations in the microring lasers theory ⋮ Accurate simulation of on-threshold modes of microcavity lasers with active regions using Galerkin method

Cites Work

• Computation of scattering resonances for dielectric resonators
• Ausstrahlungsbedingungen für die Wellengleichung
• Rigorous formulation of the lasing eigenvalue problem as a spectral problem for a Fredholm operator function
• Mathematical and numerical modeling of on-threshold modes of 2-D microcavity lasers with piercing holes
• Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber
• Boundary Integral Equations for Calculating Complex Eigenvalues of Transmission Problems
• Integral Equation Methods in Scattering Theory
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