Highly efficient GPU eigensolver for three-dimensional photonic crystal band structures with any Bravais lattice

DOI10.1016/J.CPC.2019.07.007OpenAlexW2962748307WikidataQ127445874 ScholiaQ127445874MaRDI QIDQ2696559

Yanyan Li

Publication date: 14 April 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2019.07.007

zbMATH Keywords

fast Fourier transformMaxwell equationsthree-dimensional photonic crystalsnull-space free methodparallel GPU computing

Mathematics Subject Classification ID

Optics, electromagnetic theory (78-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (3)

Solving Maxwell eigenvalue problems for three dimensional isotropic photonic crystals with fourteen Bravais lattices ⋮ The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media ⋮ An efficient contour integral based eigensolver for 3D dispersive photonic crystal

Uses Software

• CUDA
• CUBLAS

Cites Work

• 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
• Optimal in-place transposition of rectangular matrices
• Eigendecomposition of the Discrete Double-Curl Operator with Application to Fast Eigensolver for Three-Dimensional Photonic Crystals
• Parallel and Cache-Efficient In-Place Matrix Storage Format Conversion
• Numerical Study of Three-Dimensional Photonic Crystals with Large Band Gaps
• Singular Value Decompositions for Single-Curl Operators in Three-Dimensional Maxwell's Equations for Complex Media

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