Approximate analysis of two-dimensional photonic crystals with rectangular geometry II. H-polarization

Inna Nusinsky, Amos A. Hardy

Research output: Contribution to journalArticlepeer-review

Abstract

An approximate analytical approach for calculating the dispersion relations of two-dimensional photonic crystals, which was earlier developed for E-polarization, is extended for H-polarization (which is usually problematic for analytical treatment, because of field discontinuities). Useful analytical formulas, for calculating the dispersion relations and the magnetic fields, are developed. We show that the presented approach and the derived expressions provide a good approximation for a wide range of photonic crystal parameters. The results are also compared with accurate numerical calculations to check the validity of the approximations. This approach provides not only a fast way for photonic crystal calculations, but it also can be useful for the investigation of various physical effects as well as for the design and analysis of new photonic crystal devices.

Original languageEnglish
Pages (from-to)1497-1505
Number of pages9
JournalJournal of the Optical Society of America B: Optical Physics
Volume26
Issue number8
DOIs
StatePublished - 1 Aug 2009

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