English

Nonlinear Spectral Singularities and Lasing Threshold Condition

Quantum Physics 2014-05-20 v1 Optics

Abstract

A spectral singularity is a mathematical notion with an intriguing physical realization in terms of certain zero-width resonances. In optics it manifests as lasing at the threshold gain. We explore the application of their recently-developed nonlinear generalization in the study of the effect of a nonlinearity on the lasing threshold condition for an infinite planar slab of gain medium. In particular, for a Kerr nonlinearity, we derive an explicit expression for the intensity of the emitted waves from the slab and discuss the implications of our results for the time-reversed system that acts as a coherent perfect absorber.

Keywords

Cite

@article{arxiv.1303.4874,
  title  = {Nonlinear Spectral Singularities and Lasing Threshold Condition},
  author = {Ali Mostafazadeh},
  journal= {arXiv preprint arXiv:1303.4874},
  year   = {2014}
}

Comments

4 pages

R2 v1 2026-06-21T23:44:59.476Z