Enhanced nonlinear frequency conversion and Purcell enhancement at exceptional points

Abstract

We derive analytical formulas quantifying radiative emission from subwavelength emitters embedded in triply resonant nonlinear ${\chi }^{(2)}$ 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.

References in corpus (18)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• The physics of exceptional points
• Loss-induced suppression and revival of lasing
• Spawning rings of exceptional points out of Dirac cones
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Pump-induced Exceptional Points in Lasers
• Inverse design of third-order Dirac exceptional points in photonic crystals
• Non-reciprocal nonlinear optic induced transparency and frequency conversion on a chip
• High-order exceptional points in optomechanics
• General Theory of Spontaneous Emission Near Exceptional Points
• Chi2 and chi3 harmonic generation at a critical power in inhomogeneous doubly resonant cavities
• Exceptional contours and band structure design in parity-time symmetric photonic crystals
• Exceptional Point Dynamics in Photonic Honeycomb Lattices with PT Symmetry
• Optical lattices with exceptional points in the continuum
• Parity-Time Symmetry Breaking beyond One Dimension: The Role of Degeneracy
• Topological dynamics in an optomechanical system with highly non-degenerate modes

Cited by in corpus (13)

• Outlook for inverse design in nanophotonics
• Observation of coherent perfect absorption at an exceptional point
• Experimental realization of a Weyl exceptional ring
• Quasinormal modes and Purcell factors of coupled loss-gain resonators and index-modulated ring resonators near exceptional points
• Observing exceptional point degeneracy of radiation with electrically pumped photonic crystal coupled-nanocavity lasers
• Control of spontaneous emission dynamics in microcavities with chiral exceptional surfaces
• Imaginary couplings in non-Hermitian coupled-mode theory: Effects on exceptional points of optical resonators
• Quasinormal mode analysis of chiral power flow from linearly polarized dipole emitters coupled to index-modulated microring resonators close to an exceptional point
• Mesoscopic transport signatures of disorder-induced non-Hermitian phases
• Dressed bound states at chiral exceptional points
• Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
• Oblique scattering from non-Hermitian optical waveguides
• Chiral modes near exceptional points in symmetry broken H1 photonic crystal cavities