Asymptotic expansions of Whispering Gallery Modes in graded index optical micro-cavities
Résumé
We are interested in resonance frequencies of two dimensional dielectric cavities-a component of optical micro-resonators-and more specifically in resonances corresponding to whispering gallery modes (WGM). WGM are optical waves with high polar mode index, circling around the cavity and almost perfectly guided by total internal reflection. For a cavity of general shape with a varying optical index n (graded index optical cavity), using a phase amplitude ansatz, we have obtained asymptotic expansions of resonances as the polar mode index becomes large. We have also found sufficient conditions linking the curvature of the cavity boundary and the optical index for such expansions to hold.
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2019 Balac Dauge Moitier [WAVES proceeding].pdf (227.95 Ko)
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