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.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Acoustics and Ultrasonics
- Surfaces, Coatings and Films