Density of Bloch states inside a one dimensional photonic crystal
Ebrahim Forati
TL;DR
This paper formulates the density of Bloch electromagnetic states within a one-dimensional photonic crystal using dispersion relations, applicable to anisotropic media, and calculates these densities for visible-range parameters.
Contribution
It introduces a general formulation for the density of Bloch states in 1D photonic crystals applicable to anisotropic media, with practical calculations for visible-range parameters.
Findings
Density of Bloch states can be formulated from dispersion relations.
The formulation applies to anisotropic media with known iso-frequency surfaces.
Calculated densities vary for different modes in a practical 1D PC.
Abstract
The density of Bloch electromagnetic states inside a one dimensional photonic crystal (1D PC) is formulated based on its dispersion relations. The formulation applied to any anisotropic medium with known dispersion relations and iso-frequency surfaces. Using a practical 1D PC parameters in the visible range, the density of Bloch states for different modes are calculated.
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