Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals
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PhysRevLett.117.107402.pdf
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Author(s) • • •
Lin, Zin
Lončar, Marko
Rodriguez, Alejandro W.
Pick, Adi
Date Issued
August 2016
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Lin, Zin; Pick, Adi; Lončar, Marko and Rodriguez, Alejandro W. "Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals." Physical Review Letters 117, 107402: 1-6 © 2016 American Physical Society
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Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.117.107402