Analytical approach to the design of microring resonators for nonlinear four-wave mixing applications

Year: 2014

Authors: Hansson T., Modotto D., Wabnitz S.

Autors Affiliation: Dipartimento di Ingegneria Dell\’Informazione, Università di Brescia, via Branze 38, 25123 Brescia, Italy

Abstract: An analytical approach for obtaining linear and nonlinear design parameters of microresonators is presented. The eigenmode/eigenfrequency problem of planar resonators is considered in detail, with an analytical closed-form approximation derived for resonators possessing a large radius to width ratio. The analysis permits the resonant frequencies and mode profiles to be determined together with the dispersion properties. The dependence of the effective nonlinear Kerr coefficient on the mode volume is further considered, and also the waveguide coupling together with estimates of the Q-value. Examples, which are in good agreement with numerical simulations, are presented for silicon resonators. The approach can be used for designing planar microring resonators for nonlinear four-wave mixing applications, such as optical Kerr frequency comb generation.


Volume: 31 (5)      Pages from: 1109  to: 1117

KeyWords: Four wave mixing; Natural frequencies, Analytical approach; Closed form approximations; Dispersion properties; Microring resonator; Non-linear design; Planar resonators; Silicon resonators; Waveguide coupling, Optical resonators
DOI: 10.1364/JOSAB.31.001109

Citations: 9
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