English

Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points

Optics 2018-01-03 v2

Abstract

We derive analytical formulas quantifying radiative emission from subwavelength emitters embedded in triply resonant nonlinear χ(2)\chi^{(2)} cavities supporting exceptional points (EP) made of dark and leaky modes. We show that the up-converted radiation rate in such a system can be greatly enhanced---by up to two orders of magnitude---compared to typical Purcell factors achievable in non-degenerate cavities, for both monochromatic and broadband emitters. We provide a proof-of-concept demonstration by studying an inverse-designed 2D photonic-crystal slab that supports an EP formed out of a Dirac cone at the emission frequency and a phase-matched, leaky-mode resonance at the second harmonic frequency.

Keywords

Cite

@article{arxiv.1705.07390,
  title  = {Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points},
  author = {Adi Pick and Zin Lin and Weiliang Jin and Alejandro W. Rodriguez},
  journal= {arXiv preprint arXiv:1705.07390},
  year   = {2018}
}
R2 v1 2026-06-22T19:53:42.230Z