2011/02/23 by Ali Mostafazadeh · 2 citations
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Gravitational singularity #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematics #Optics #Physics #Quantum mechanics #Quantum optics and atomic interactions #Realization (probability) #Scattering #Singularity #Zero (linguistics) #hep-th #math-ph #math.MP #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.83.045801
published as Phys. Rev. A 83, 045801 (2011) · 4 pages, 2 figures, 1 table
arxiv created 2011/02/23 · openalex publication_date 2011/04/04 · arxiv updated 2011/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Spectral singularities are among generic mathematical features of complex scattering potentials. Physically they correspond to scattering states that behave like zero-width resonances. For a simple optical system, we show that a spectral singularity appears whenever the gain coefficient coincides with its threshold value and other parameters of the system are selected properly. We explore a concrete realization of spectral singularities for a typical semiconductor gain medium and propose a method of constructing a tunable laser that operates at threshold gain.