T. Yamamoto et M. Koshiba, ANALYSIS OF CURVATURE LOSSES OF WHISPERING-GALLERY MODES IN AN OPTICAL DIELECTRIC DISK BY THE FINITE-ELEMENT METHOD, Journal of lightwave technology, 12(1), 1994, pp. 59-63
The finite-element method is applied to the analysis of curvature loss
es of whispering gallery modes in an optical dielectric disk. Numerica
l examples on the dielectric disks with various side shapes are given.
We also demonstrate that when the curvature radius of the disk is lar
ge enough, the difference between the propagation constants obtained b
y considering and by ignoring the curvature loss is very small.