Analysis of whispering gallery mode resonators by using airy functions

Author

Cinosi, N. ; Sarma, J. ; Mencarelli, D. ; Causa, F.

Author_Institution

Dept. of Electron. & Electr. Eng., Univ. of Bath, UK

fYear

2003

fDate

14-16 Oct. 2003

Firstpage

72

Lastpage

73

Abstract

In this paper, airy functions to represent Bessel functions of large index order are applied. The eigenvalue wave equation is then reduced to a polynomial equation. The complex roots of such a polynomial are the sought whispering gallery modes (WGM) resonant frequencies which in effect, provide the Q-factors and determine the WGM field profiles. Particular emphasis has been given to deriving the spectral and spatial distribution of WGMs, along the Q-factors of the resonators. These properties are essential to characterise circular semiconductor lasers, which use WGMs as modal emission.

Keywords

Bessel functions; Q-factor; eigenvalues and eigenfunctions; laser cavity resonators; polynomials; ring lasers; wave equations; Bessel functions; Q-factors; airy functions; circular semiconductor lasers; eigenvalue wave equation; polynomial equation; resonant frequencies; whispering gallery mode resonators; Optical resonators; Optical ring resonators; Optical waveguides; Q factor; Resonance; Resonant frequency; Structural discs; Surface emitting lasers; Vertical cavity surface emitting lasers; Whispering gallery modes;

fLanguage

English

Publisher

ieee

Conference_Titel

Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. NUSOD 2003. Proceedings of the IEEE/LEOS 3rd International Conference on

Print_ISBN

0-7803-7992-6

Type

conf

DOI

10.1109/NUSOD.2003.1259053

Filename

1259053