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Investigation of mode characteristics for microdisk resonators by S-matrix and three-dimensional finite-difference time-domain technique

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Abstract

The mode characteristics of a three-dimensional (3D) microdisk with a vertical refractive index distribution of n23.4n2 are investigated by the S-matrix method and 3D finite-difference time-domain (FDTD) technique. For the microdisk with a thickness of 0.2μm and a radius of 1μm, the mode wavelengths and quality factors for the HE7,1 mode obtained by 3D FDTD simulation and the S-matrix method are in good agreement as n2 increases from 1.0 to 2.6. But the Q factor obtained by the 3D FDTD rapidly decreases from 1.12×104 to 379 as n2 increases from 2.65 to 2.8 owing to the vertical radiation losses, which cannot be predicted by the proposed S-matrix method. The comparisons also show that quality factors obtained from the analytical solution of two-dimensional microdisks under the effective index approximation are five to seven times smaller than those of the 3D FDTD as n2=1 and R=1μm.

© 2006 Optical Society of America

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