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
Analysis of whispering gallery mode resonators by using airy functions / Cinosi, N.; Sarma, J.; Mencarelli, Davide; Causa, F.. - STAMPA. - 2003-:(2003), pp. 72-73. (Intervento presentato al convegno 3rd IEEE/LEOS International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, NUSOD 2003 tenutosi a Tokyo, Japan nel 2003) [10.1109/NUSOD.2003.1259053].
Analysis of whispering gallery mode resonators by using airy functions
MENCARELLI, Davide;
2003-01-01
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 emissionI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.