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18 August 2004 Analytical study of whispering gallery mode in 2D microgear cavity
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We present a two dimensional analytical method for studying the effect of gratings on microdisk dielectric resonators. Our model based on a Coupled Mode Theory (CMT) needs the normalization of the Whispering Gallery Mode (WGM). In the past, few normalizations have been proposed, all of them assume the mode to be bound which is not true as WGMs are leaky modes. In this paper, we propose a new normalization with no approximation. Then we apply the CMT in order to compute the resonance wavelength of the perturbated structure. This theory has been checked against 2D FDTD and shows accurate results with very little computation time.
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Kien Phan-Huy, Alain Morand, and Pierre M. Benech "Analytical study of whispering gallery mode in 2D microgear cavity", Proc. SPIE 5451, Integrated Optics and Photonic Integrated Circuits, (18 August 2004);

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