Geometric optics of whispering gallery modes

被引：0

作者：

Gorodetsky, ML ^{[1
]}

Fomin, AE ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

来源：

LASER BEAM CONTROL AND APPLICATIONS | 2006年 / 6101卷

关键词：

whispering gallery modes; microspheres; eikonal;

D O I：

10.1117/12.669591

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Quasiclassical approach and geometric optics allow to describe rather accurately whispering gallery modes in convex axisymmetric bodies. Using this approach we obtain practical formulas for the calculation of eigenfrequencies and radiative Q-factors in dielectrical spheroid and compare them with the known solutions for the particular cases and with numerical calculations. We show how geometrical interpretation allows expansion of the method on arbitrary shaped axisymmetric bodies.

引用

页数：12

共 31 条

[1]

Abramowitz M, 1964, Handbook of Mathematical Functions

[2]

Arnol'd VI, 1972, FUNCT ANAL APPL, V6, P94, DOI 10.1007/BF01077511

[3] LIGHT-SCATTERING BY A SPHEROIDAL PARTICLE [J].

ASANO, S ;

YAMAMOTO, G .

APPLIED OPTICS, 1975, 14 (01) :29-49

[4]

Babic V. M., 1991, SHORT WAVELENGTH DIF

[5]

Born M., 1999, PRINCIPLES OPTICS

[6]

BOROVIKOV VA, 1994, IEE ELECTROMAGNET WA, V37

[7] QUALITY-FACTOR AND NONLINEAR PROPERTIES OF OPTICAL WHISPERING-GALLERY MODES [J].

BRAGINSKY, VB ;

GORODETSKY, ML ;

ILCHENKO, VS .

PHYSICS LETTERS A, 1989, 137 (7-8) :393-397

[8]

BYKOV VP, 1965, ELECT LARGE CAPACITY, V4, P66

[9] On the solution of boundary value problems using spheroidal eigenvectors [J].

Charalambopoulos, A ;

Fotiadis, DI ;

Kourounis, D ;

Massalas, C .

COMPUTER PHYSICS COMMUNICATIONS, 2001, 139 (02) :153-171

[10] Uniform asymptotic formulae for the spheroidal radial function [J].

de Moraes, PCG ;

Guimaraes, LG .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2003, 79 (79-80) :973-981

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