Simple model of the density of states in 1D photonic crystal

TL;DR

This paper introduces a simple analytical model for the density of states in 1D photonic crystals, accounting for propagation direction and anisotropy, to better understand their mode spectrum and photonic band gaps.

Contribution

It provides a new analytical approach that includes anisotropic effects and propagation direction in modeling 1D photonic crystals.

Findings

Derives explicit formulas for mode spectrum and density of states.

Reveals formation and properties of photonic band gaps.

Highlights the impact of anisotropy on photonic crystal behavior.

Abstract

In this paper, we present a simple, yet versatile, analytical model of one-dimensional photonic crystal (1D PC). In our theoretical model, we take into account direction of propagation and therefore do not neglect anisotropic nature of photonic crystals. We derive analytical expressions for mode spectrum and density of states in 1D photonic crystal. With those formulas, we obtain mode spectrum characteristics, which depict formation of photonic band gap and reveal properties of photonic crystals.