Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements

DOI10.1134/s1995080223010183zbMath1520.78041OpenAlexW4377003433MaRDI QIDQ6043904

A. O. Spiridonov, A. I. Repina, E. M. Karchevskij, Ilya V. Ketov

Publication date: 25 May 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223010183

zbMATH Keywords

eigenvalue problemlattice modesMuller boundary integral equationsphotonic-crystal resonators

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Systems of nonsingular linear integral equations (45F05) Maxwell equations (35Q61) Integro-partial differential equations (35R09)

Related Items (1)

Characteristic equations for true and fictitious eigenvalues of Muller boundary integral equations

Cites Work

• Mathematical and numerical modeling of on-threshold modes of 2-D microcavity lasers with piercing holes
• Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities
• Integral Equation Methods in Scattering Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements