2011/07/10 by Ali Mostafazadeh, Mustafa Sarisaman, Mustafa Sarısaman · 50 citations
Mathematics · Physics and Astronomy · #Geometry #Gravitational singularity #Interpretation (philosophy) #Laser #Laser-Matter Interactions and Applications #Lasing threshold #Mathematics #Optics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Realization (probability) #Resonance (particle physics) #Singularity #Transverse plane #math-ph #math.MP #physics.optics #quant-ph
paper · pdf · doi:10.1016/j.physleta.2011.07.052
published in Physics Letters A 375(39), 3387-3391 (Elsevier BV) · 10 pages
arxiv created 2011/07/10 · openalex publication_date 2011/08/06 · arxiv updated 2011/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The mathematical notion of a spectral singularity admits a physical interpretation as a zero-width resonance. It finds an optical realization as a certain type of lasing effect that occurs at the threshold gain. We explore spectral singularities of a complex spherical barrier potential and study their realization as transverse spherical electromagnetic waves emitted by a gain medium with a spherical geometry. In particular, for a typical dye laser material, we obtain a lower bound on the size of the gain medium for the occurence of this kind of spectral singularities.