Theory of anisotropic whispering-gallery-mode resonators

被引：13
|
作者：
Ornigotti, Marco [1 ]
Aiello, Andrea [1 ,2 ]
机构：
[1] Max Planck Inst Sci Light, D-91058 Erlangen, Germany
[2] Univ Erlangen Nuernberg, Inst Opt Informat & Photon, D-91058 Erlangen, Germany
来源：
PHYSICAL REVIEW A | 2011年 / 84卷 / 01期
关键词：
SCATTERING; RESONANCES; SPHERES; WAVE;
D O I：
10.1103/PhysRevA.84.013828
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
An analytic solution for a uniaxial spherical resonator is presented using the method of Debye potentials. This serves as a starting point for the calculation of whispering gallery modes (WGMs) in such a resonator. Suitable approximations for the radial functions are discussed in order to best characterize WGMs. The characteristic equation and its asymptotic expansion for the anisotropic case is also discussed, and an analytic formula with a precision of the order O[nu(-1)] is also given. Our careful treatment of both boundary conditions and asymptotic expansions makes the present work a particularly suitable platform for a quantum theory of whispering gallery resonators.
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页数：12
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