Journal of the Optical Society of America B: Optical Physics

Analytical calculation of the Q factor for circular-grating microcavities

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An exact and compact analytical formalism has been developed to calculate the Q factor for circular Bragg resonators. The electromagnetic fields, energy, and power flow have been expressed analytically relying on the transfer matrix coefficients. The Q factor has been derived for both TM and TE polarizations. The proposed formalism is then compared with two numerical methods. © 2007 Optical Society of America.