An iterative method for the dynamic modeling of ultra-short pulse generation in nonlinear optical ring resonator

Gutierrez, Napoléon; Fernandez, Arnaud; Llopis, Olivier; Chu, Sai T.; Balac, Stéphane

doi:10.1109/cleoe-eqec.2017.8087724

Cited by 1 publication

(1 citation statement)

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“…All this creates problems in numerically simulating Kerr comb generation with the Lugiato-Lefever Equation (LLE) 7 . This issue can be circumvented by adopting a model that separates intra-cavity dispersion from dispersion in the access coupler such as the Ikeda map 8 , already used in references 9,10 . While this approach is certainly more computationally cost-intensive due to the fact that the step-size has to be inferior to the cavity length, we have put in place a RK4IP method 2 to reduce computation time and keep computation accuracy high.…”

Section: Introductionmentioning

confidence: 99%

Numerical studies on Kerr comb generation in Si3N4 resonators with frequency dependent access coupler properties

Gutierrez¹,

Fernandez²,

Llopis³

et al. 2019

Laser Resonators, Microresonators, and Beam Control XXI

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Numerical studies on Kerr frequency comb generation with vertically-coupled whispering-gallery-mode (WGM) Si 3 N 4 resonators are presented. These resonators include a frequency-dependent access coupler and are characterized by a free spectral range (FSR) of 220 GHz. We present numerical simulations based on the Ikeda map that allows implementation of complex-valued frequency-dependent and non-reciprocal access coupler transfer matrix in the simulation of Kerr comb in the cavities modelled by Arlotti et al 1. We use a Runge-Kutta 4 Interaction picture (RK4IP) method with adaptive step-size control as developed by Balac et al 2 to circumvent the numerical burden added by this modelling approach and successfully simulate Kerr comb generation using an approach that accurately models any optical cavity that can be considered as spatially one-dimensional regardless of its quality factor, finesse or dispersive properties which comes in useful in this study when access coupling properties degrade the resonator quality factor.

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Section: Introductionmentioning

confidence: 99%