Preconditioning bandgap eigenvalue problems in three-dimensional photonic crystals simulations

DOI10.1016/j.jcp.2010.08.003zbMath1220.78117OpenAlexW2056536494MaRDI QIDQ613386

Wen-Wei Lin, Wei-Jen Chang, Wei-Cheng Wang, Yin-Liang Huang, Tsung-Ming Huang, Wei-Chung Wang

Publication date: 20 December 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/238932/-1/86.pdf

zbMATH Keywords

preconditioningfast Fourier transformMaxwell's equationseigenvalue problemsJacobi-Davidson methodKrylov-Schur methodharmonic extractionthree-dimensional photonic crystals

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (7)

A hybrid Jacobi-Davidson method for interior cluster eigenvalues with large null-space in three dimensional lossless drude dispersive metallic photonic crystals ⋮ Computing extremal eigenvalues for three-dimensional photonic crystals with wave vectors near the Brillouin zone center ⋮ Matrix representation of the double-curl operator for simulating three dimensional photonic crystals ⋮ Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice ⋮ A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems ⋮ A Newton-Type Method with Nonequivalence Deflation for Nonlinear Eigenvalue Problems Arising in Photonic Crystal Modeling ⋮ The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes

Uses Software

• SLEPc
• eigs
• PETSc
• JDQR
• TRLan
• ARPACK
• JDQZ
• IRAM

Cites Work

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• SLEPc
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