谱奇异性的半经典分析及其在光学中的应用
Semiclassical Analysis of Spectral Singularities and Their Applications in Optics
摘要：
受光谱奇异性在光学中可能应用的启发，我们发展了一种计算光谱奇异性的半经典方法。我们用这种方法研究了增益系数随介质内泵浦光强度指数衰减而变化的平板增益介质的光谱奇异性。对于单泵浦和双泵浦的样品，我们得到普遍的衰减常数的上限，超过没有激光发生。此外，我们表明，对衰减常数的值的光谱奇异性的波长的依赖是非常温和的。这是光谱奇异性稳定性的一个指标。
英文摘要：
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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