Topological phase transition in photonic crystals and metamaterials

Didier Felbacq; Emmanuel Rousseau; Emmanuel Kling

doi:10.1117/12.2593805

1 August 2021 Topological phase transition in photonic crystals and metamaterials

Didier Felbacq, Emmanuel Rousseau, Emmanuel Kling

Proceedings Volume 11796, Active Photonic Platforms XIII; 117961C (2021) https://doi.org/10.1117/12.2593805
Event: SPIE Nanoscience + Engineering, 2021, San Diego, California, United States

Abstract

We consider the topological aspects of wave propagation in 1D photonic crystals. It was shown by Zak that in 1D structures, bands could be characterized by means of a geometric phase, provided the structure possesses an inversion symmetry, that is the potential V is symmetric with respect to some point. This phase is defined as an integral over the Brillouin zone. We propose another view on the Zak phase, based on a dynamical system approach, that allows to identify the topological properties with the presence of poles of a meromorphic function. This allows to extend the notion to lossy systems. Numerical examples are given in the case of 1D structure whose basic period comprises two slabs filled with a homogeneous material.

Conference Presentation

Citation Download Citation

Didier Felbacq, Emmanuel Rousseau, and Emmanuel Kling "Topological phase transition in photonic crystals and metamaterials", Proc. SPIE 11796, Active Photonic Platforms XIII, 117961C (1 August 2021); https://doi.org/10.1117/12.2593805

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