用airy函数分析窃窃廊谐振器

IEEE/LEOS 3rd International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. Proceedings Pub Date : 2003-10-14 DOI:10.1109/NUSOD.2003.1259053

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

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摘要

本文采用airy函数来表示大索引阶的贝塞尔函数。然后将特征值波动方程简化为多项式方程。这种多项式的复根是所寻求的窃窃私语走廊模式(WGM)谐振频率，它实际上提供了q因子并确定了WGM场剖面。特别强调了沿谐振器q因子推导wgm的光谱和空间分布。这些特性是表征使用wgm作为模态发射的圆形半导体激光器所必需的。

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Analysis of whispering gallery mode resonators by using airy functions

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.

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

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