Semiclassical Analysis of Spectral Singularities and Their Applications in Optics

Details Semiclassical Analysis of Spectral Singularities and Their Applications in Optics Semiclassical Analysis of Spectral Singularities and Their Applications in Optics

2011-05-23

arxiv.org/abs/1105.4462v1

Phys. Rev. A 84, 023809 (2011)

Physics

Mathematical Physics

8 pages, 3 figures

Scientific paper

10.1103/PhysRevA.84.023809

Motivated by possible applications of spectral singularities in optics, we develop a semiclassical method of computing spectral singularities. We use this method to examine the spectral singularities of a planar slab gain medium whose gain coefficient varies due to the exponential decay of the intensity of pumping beam inside the medium. For both singly- and doubly-pumped samples, we obtain universal upper bounds on the decay constant beyond which no lasing occurs. Furthermore, we show that the dependence of the wavelength of the spectral singularities on the value of the decay constant is extremely mild. This is an indication of the stability of optical spectral singularities.

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