Geometrical theory of whispering-gallery modes
Geometrical theory of whispering-gallery modes
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DOI：
10.1109/jstqe.2005.862954
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发表时间：
2006-01-01
影响因子：
4.9
通讯作者：
Fomin, AE
中科院分区：
文献类型：
--
作者：
Gorodetsky, ML;Fomin, AE
利用准经典方法，可以找到凸轴对称物体中回音廊模式(WGM)的本征频率的相当精确的解析近似。以球面介质腔为例，用eikonal方法分析了准经典近似的精度极限。将计算本征频率的级数与介质球的已知级数进行了比较，并与数值计算进行了比较。我们展示了几何解释如何允许将该方法扩展到任意形状的轴对称物体。
Using a quasi-classical approach, rather precise analytical approximations for the eigenfrequencies of whispering-gallery modes (WGMs) in convex axisymmetric bodies may be found. We use the eikonal method to analyze the limits of precision of quasi-classical approximation using, as a practical example, a spheroidal dielectric cavity. The series obtained for the calculation of eigenfrequencies is compared with the known series for a dielectric sphere, and with numerical calculations. We show how geometrical interpretation allows expansion of the method on arbitrarily-shaped axisymmetric bodies.