Spectral singularities of a complex spherical barrier potential and their optical realization. (English) Zbl 1252.78027
Summary: 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 occurrence of this kind of spectral singularities.
MSC:
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 78A40 | Waves and radiation in optics and electromagnetic theory |
| 81V80 | Quantum optics |
| 37D50 | Hyperbolic systems with singularities (billiards, etc.) (MSC2010) |
Keywords:
complex potential; spectral singularity; zero-width resonance; gain medium; threshold gain; spherical dye laserReferences:
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