Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media

DOI10.1137/140958748zbMath1312.78011arXiv1402.6297OpenAlexW2592679029MaRDI QIDQ5251757

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

Publication date: 21 May 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6297

zbMATH Keywords

singular value decompositionMaxwell equationschiral mediumdiscrete single-curl operatornull space free methodpseudochiral medium

Mathematics Subject Classification ID

Related Items (11)

Solving Maxwell eigenvalue problems for three dimensional isotropic photonic crystals with fourteen Bravais lattices ⋮ Electromagnetic field behavior of 3D Maxwell's equations for chiral media ⋮ A hybrid Jacobi-Davidson method for interior cluster eigenvalues with large null-space in three dimensional lossless drude dispersive metallic photonic crystals ⋮ Structure-preserving methods for computing complex band structures of three dimensional photonic crystals ⋮ On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics ⋮ The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media ⋮ An efficient and unified method for band structure calculations of 2D anisotropic photonic-crystal fibers ⋮ Fast SVD-based linear elastic eigenvalue problem solver for band structures of 3D phononic crystals ⋮ Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice ⋮ A finite element based fast eigensolver for three dimensional anisotropic photonic crystals ⋮ An efficient contour integral based eigensolver for 3D dispersive photonic crystal

Uses Software

• SUGAR

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computation of the band structure of two-dimensional photonic crystals with \(hp\) finite elements
• Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center
• 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
• Counterposition and negative phase velocity in uniformly moving dissipative materials
• Numerical Study of Three-Dimensional Photonic Crystals with Large Band Gaps
• On the Spectrum of an Operator Pencil with Applications to Wave Propagation in Periodic and Frequency Dependent Materials

This page was built for publication: Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media