Analysis of the analytic dispersion relation and density of states of a selected photonic crystal

P. Kano, D. Barker, M. Brio

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In this paper, we consider an anisotropic three-dimensional photonic crystal for which an analytic solution to Maxwell's equations can be derived. We also discuss the reduction to a two-dimensional variant which occurs for isotropic materials. For the two-dimensional case, we integrate an analytic dispersion relation to accurately calculate the density of states. A comparison is made with a numerically determined density of states computed from the dispersion surface generated by the MIT photonic-bands package (MPB). Close agreement between the analytic and numerical results is shown. Finally, we utilize the analytically calculated density of states to characterize the thermally pumped terahertz emission from the photonic crystal.

Original languageEnglish (US)
Article number185106
JournalJournal of Physics D: Applied Physics
Volume41
Issue number18
DOIs
StatePublished - Sep 21 2008

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Surfaces, Coatings and Films

Fingerprint Dive into the research topics of 'Analysis of the analytic dispersion relation and density of states of a selected photonic crystal'. Together they form a unique fingerprint.

  • Cite this