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Modelization of the whispering gallery mode in microgear resonators using the Floquet-Bloch formalism

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3 Author(s)
K. P. Huy ; Inst. de Microelectronique Electromagnetisme et Photonique, UMR CNRS, Grenoble, France ; A. Morand ; P. Benech

In this paper, a two-dimensional (2-D) method describing the whispering gallery mode in a microgear resonator is presented. The microgear is a microdisk surrounded by a circular grating. The method, which is based on the Floquet-Bloch formalism, analytically describes the field within the disk and outside the grating. On the other hand, the field within the grating is calculated using a finite-difference scheme in polar coordinates. Matching the boundary conditions, it is possible to work in a forced oscillation regime or in a free oscillation regime (laser mode). The resonant wavelength and quality factor can then be deduced. Compared to the coupled mode theory and to 2-D finite-difference time-domain computations, the method is faster and more accurate. Moreover, a polarization effect of the microgear is demonstrated. The TE polarization experiences a Q-factor improvement contrary to TM polarization. Finally, microgear structures prove to be more efficient than micro flowers.

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IEEE Journal of Quantum Electronics  (Volume:41 ,  Issue: 3 )