Title :
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
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;
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
DOI :
10.1109/NUSOD.2003.1259053
