Cavity controlled spectral singularity

Abstract

We study theoretically a PT-symmetric saturable balanced gain-loss system in a ring cavity configuration. The saturable gain and loss are modeled by two-level medium with or without population inversion. We show that the specifics of the spectral singularity can be fully controlled by the cavity and the atomic detuning parameters. The theory is based on the mean-field approximation as in standard theory of optical bistability. Further, in the linear regime we demonstrate the regularization of the singularity in detuned systems, while larger input power levels are shown to be adequate to limit the infinite growth in absence of detuning

References in corpus (12)

• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Optical Spectral Singularities as Threshold Resonances
• Nonlinear Spectral Singularities for Localized Nonlinearities
• Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides
• Zero width resonance (spectral singularity) in a complex PT-symmetric potential
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Spectral Singularities and Whispering Gallery Modes of a Cylindrical Gain Medium
• Semiclassical Analysis of Spectral Singularities and Their Applications in Optics
• Spectral Singularities in the Surface Modes of a Spherical Gain Medium

Cited by in corpus (8)

• Lasing Threshold Condition for Oblique TE and TM Modes, Spectral Singularities, and Coherent Perfect Absorption
• Spectral Singularities in the TE and TM modes of a PT-Symmetric Slab System: Optimal conditions for realizing a CPA-Laser
• Nonlinear Spectral Singularities and Laser Output Intensity
• Solving scattering problems in the half-line using methods developed for scattering in the full line
• Spectral Singularities, Threshold Gain, and Output Intensity for a Slab Laser with Mirrors
• Spectral singularity enhances transverse spin
• Spectral singularities of a potential created by two coupled microring resonators
• Spectral singularities and threshold gain of a slab laser under illumination of a focused Gaussian beam