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Topological nature of non-Hermitian degenerate bands in structural parameter space

Olivia Y. Long1,*, Cheng Guo1, and Shanhui Fan1,2,†

  • 1Department of Applied Physics, Stanford University, Stanford, California 94305, USA
  • 2Ginzton Laboratory and Department of Electrical Engineering, Stanford University, Stanford, California 94305, USA

  • *olong@stanford.edu
  • †shanhui@stanford.edu

Phys. Rev. Applied 20, L051001 – Published 30 November, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.20.L051001

Abstract

In photonics, band degeneracies at high-symmetry points in wavevector space have been shown to exhibit rich physical phenomena. However, obtaining degenerate bands away from such points is highly nontrivial. In this work, we achieve complex band degeneracy in a photonic crystal structure over a region of momentum space. We show that this band degeneracy corresponds to polarization-independent transmission, which can be harnessed for nonlocal metasurface design. Moreover, we find that the band degeneracy manifests as a topological singularity in the structural parameter space of the system. Our work highlights the importance of topological concepts in the design of polarization-independent photonic structures.

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