A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations

DOI10.1016/j.jcp.2010.05.029zbMath1197.78025arXiv1001.5464OpenAlexW2147963069MaRDI QIDQ2638222

Leslie F. Greengard, Alex H. Barnett

Publication date: 15 September 2010

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

Full work available at URL: https://arxiv.org/abs/1001.5464

zbMATH Keywords

latticeeigenvalueintegral equationHelmholtzMaxwellphotonic crystalband structureperiodicBloch

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

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