Resonance characteristics of whispering gallery modes on a dielectric disk
Resonance characteristics of whispering gallery modes on a dielectric disk
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介电盘上回音壁模式的谐振特性
DOI：
10.1002/ecjb.4420760504
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
K. Matsumura
中科院分区：
文献类型：
--
作者：
Y. Tomabechi;K. Matsumura
采用近似变量分离方法，对介质圆盘谐振器中回声廊模的共振和损耗特性进行了三维数值模拟。与波长相比，盘的半径足够大。本征值方程包含一个绝对值远大于1的具有复数阶和变元的柱面函数。
本文利用一种新发展的柱面函数计算方法，对特征值方程进行了解析求解。结果，了解了介质盘谐振器在从微波到光波的宽频率范围内的谐振和损耗特性。该方法可应用于有耗介质材料制成的回声廊模谐振器。因此，可以基于材料的损耗正切获得与介质损耗分开的辐射损耗。
Resonance and loss characteristics of whispering gallery modes in a dielectric disk resonator are discussed three-dimensionally by using an approximate variable separation method. A radius of the disk is sufficiently large compared to a wavelength. A cylindrical function with a complex order and argument whose absolute values are much larger than unity is included in an eigenvalue equation.
In this paper, the eigenvalue equation is solved analytically by using a newly developed calculation method of the cylindrical function. As a result, resonance and loss characteristics of the dielectric disk resonator in a wide frequency ranging from a microwave to optical wave are understood. The present method can be applied to a whispering gallery mode resonator made of lossy dielectric materials. Therefore, one can obtain a radiation loss separately from a dielectric loss based on a loss tangent of the materials.