介质谐振器的内、外谐振
Internal and External Resonances of Dielectric Disks
摘要：
圆形微谐振器（微盘）是嵌入在较低折射率材料中的微米尺寸的电介质盘。它们具有复本征值（共振）的模式，这些模式是解析给出的超越方程的解。分析了在小开口极限下，即当腔的折射率趋于无穷大时，这些本征值的行为。这种分析允许人们清楚地区分TM和TE偏振的内部（Feshbach）和外部（形状）谐振模式。这对于TE偏振尤其重要，因为内部和外部共振可以在复波数平面的相同区域中找到。它还表明，对于这两种极化，内部以及外部共振可以分类定义良好的方位角和径向模态指数。
英文摘要：
Circular microresonators (microdisks) are micron sized dielectric disks embedded in a material of lower refractive index. They possess modes with complex eigenvalues (resonances) which are solutions of analytically given transcendental equations. The behavior of such eigenvalues in the small opening limit, i.e. when the refractive index of the cavity goes to infinity, is analysed. This analysis allows one to clearly distinguish between internal (Feshbach) and external (shape) resonant modes for both TM and TE polarizations. This is especially important for TE polarization for which internal and external resonances can be found in the same region of the complex wavenumber plane. It is also shown that for both polarizations, the internal as well as external resonances can be classified by well defined azimuthal and radial modal indices.
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