Mode analysis of a class of spatiotemporal photonic crystals

Abstract

A detailed analysis is presented of the modes of a class of spatiotemporal photonic crystal. The structure analyzed is a perfect dielectric with periodic variation of ε in a single spatial direction, as well as periodic variation in time. Analytic solutions are presented for ε being separated in both variables, that is ε(z,t)=ε0εr(z)εt(t), and dispersion diagrams are presented.

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