Finite element calculation of photonic band structures for frequency dependent materials

DOI10.1007/s10915-021-01439-6zbMath1466.65207arXiv2007.11540OpenAlexW3133748958MaRDI QIDQ2660691

Jiguang Sun, Bo Gong, Zhimin Zhang, Wen-Qiang Xiao

Publication date: 31 March 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11540

zbMATH Keywords

finite element methodsnonlinear eigenvalue problemsholomorphic operator functionband structuresfrequency dependent photonic crystals

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses ⋮ Band Structure Calculations of Dispersive Photonic Crystals in 3D using Holomorphic Operator Functions ⋮ Finite element/holomorphic operator function method for the transmission eigenvalue problem ⋮ Analysis of a Fourier-Galerkin method for the transmission eigenvalue problem based on a boundary integral formulation ⋮ Regular convergence and finite element methods for eigenvalue problems

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