Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals

Zin Lin, Adi Pick, Marko Lončar, Alejandro W. Rodriguez

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193 Scopus citations

Abstract

We formulate and exploit a computational inverse-design method based on topology optimization to demonstrate photonic crystal structures supporting complex spectral degeneracies. In particular, we discover photonic crystals exhibiting third-order Dirac points formed by the accidental degeneracy of monopolar, dipolar, and quadrupolar modes. We show that, under suitable conditions, these modes can coalesce and form a third-order exceptional point, leading to strong modifications in the spontaneous emission (SE) of emitters, related to the local density of states. We find that SE can be enhanced by a factor of 8 in passive structures, with larger enhancements ∼n3 possible at exceptional points of higher order n.

Original languageAmerican English
Article number107402
JournalPhysical Review Letters
Volume117
Issue number10
DOIs
StatePublished - 30 Aug 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.

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