Matrix representation of the double-curl operator for simulating three dimensional photonic crystals

DOI10.1016/j.mcm.2012.11.008zbMath1297.78003OpenAlexW2073366144MaRDI QIDQ462774

Han-En Hsieh, Tsung-Ming Huang, Wen-Wei Lin, Wei-Chung Wang

Publication date: 21 October 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2012.11.008

zbMATH Keywords

Maxwell equationsmatrix representationphotonic crystalsdouble-curl operatorface centered cubic latticeyee's scheme

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of crystals (82D25) Electron optics (78A15)

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Uses Software

• JDQR
• JDQZ

Cites Work

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• Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems
• Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations
• Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
• Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three-Dimensional Photonic Crystals
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
• Templates for the Solution of Algebraic Eigenvalue Problems
• A Comparison of Factorization-Free Eigensolvers with Application to Cavity Resonators
• Multilevel Method for Mixed Eigenproblems
• Numerical Study of Three-Dimensional Photonic Crystals with Large Band Gaps
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Algebraic formulations for the solution of the nullspace‐free eigenvalue problem using the inexact Shift‐and‐Invert Lanczos method

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