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Orthogonal analysis of space–time crystals

Zoé-Lise Deck-Léger, Amir Bahrami, Zhiyu Li, and Christophe Caloz

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Abstract

This paper presents a space–time-wise orthogonal analysis of space–time crystals. This analysis provides a solution consisting of a pair of explicit parametric equations that result from a separate application of the Bloch–Floquet theorem in the (orthogonal) directions of space and time. Compared with previous approaches, this solution offers the benefits of greater simplicity, clearer emphasis on space–time duality, and deeper physical insight.

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