Inverse design of third-order Dirac exceptional points in photonic crystals

Abstract

We propose a novel inverse-design method that enables brute-force discovery of photonic crystal (PhC) structures with complex spectral degeneracies. As a proof of principle, we demonstrate PhCs exhibiting third-order Dirac points formed by the \emph{accidental} degeneracy of modes of monopolar, dipolar, and quadrupolar nature. We show that under suitable conditions, these modes can coalesce and form a third-order exceptional point (EP3), leading to diverging Petermann factors. We show that the spontaneous emission (SE) rate of emitters at such EP3s, related to the local density of states, can be enhanced by a factor of 8 in purely lossy (passive) structures, with larger enhancements $\sim \sqrt{n^3}$ possible at exceptional points of higher order $n$ or in materials with gain.

References in corpus (7)

• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• The physics of exceptional points
• Analogs of quantum Hall effect edge states in photonic crystals
• Observing Zitterbewegung for photons near the Dirac point of a two-dimensional photonic crystal
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• General Theory of Spontaneous Emission Near Exceptional Points

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