8 March 2014 On the resonance frequency of an integrated optical ring resonator with low radius of curvature
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Abstract
For small radius ring resonators, the estimation of the resonance wavelength and Free Spectral Range FSR using the group index fails to give accurate results consistent with the FDTD calculation. In this work we present a new formula for the calculation of these parameters. The formula is based on the expansion of the ring effective index as a function of the wavelength and then solving the resonance equation to get the resonant wavelength and the FSR. Using this form, the error in estimating the resonance wavelength is reduced from 5.7% to less than 0.3% when compared with the FDTD calculation.
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Diaa Khalil, Diaa Khalil, Amr Wageeh, Amr Wageeh, Salwa El-Sabban, Salwa El-Sabban, G. A. F. M. Khalaf, G. A. F. M. Khalaf, } "On the resonance frequency of an integrated optical ring resonator with low radius of curvature", Proc. SPIE 8988, Integrated Optics: Devices, Materials, and Technologies XVIII, 89881Q (8 March 2014); doi: 10.1117/12.2039127; https://doi.org/10.1117/12.2039127
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