Location, symmetry, and topology of the fundamental photonic crystal gap

Thomas Christensen; Hoi Chun Po; John D. Joannopoulos; Marin Soljacic

doi:10.1117/12.2616302

5 March 2022 Location, symmetry, and topology of the fundamental photonic crystal gap

Thomas Christensen, Hoi Chun Po, John D. Joannopoulos, Marin Soljacic

Proceedings Volume PC12010, Photonic and Phononic Properties of Engineered Nanostructures XII; PC120100K (2022) https://doi.org/10.1117/12.2616302
Event: SPIE OPTO, 2022, San Francisco, California, United States

Abstract

I will present our recent work on determining where the fundamental, or first, photonic band gap can be opened in three-dimensional photonic crystals with spatial and time-reversal symmetry. In particular, I will present a symmetry-based framework for determining the minimum possible band connectivity below the fundamental photonic gap across every space group, as well as the determination of any associated symmetry-identifiable topology. By systematically examining the topology of all possible minimum-connectivity configurations, we find a new, uniquely photonic topological effect, Γ-enforced topology, that obstructs symmetry-allowed gap-openings by requiring the presence of topological nodal lines.

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Citation Download Citation

Thomas Christensen, Hoi Chun Po, John D. Joannopoulos, and Marin Soljacic "Location, symmetry, and topology of the fundamental photonic crystal gap", Proc. SPIE PC12010, Photonic and Phononic Properties of Engineered Nanostructures XII, PC120100K (5 March 2022); https://doi.org/10.1117/12.2616302

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KEYWORDS

Photonic crystals

Computer programming

Photon polarization

Polarization

Polonium

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