Modeling of quasi-phase-matched cavity enhanced second harmonic generation
C. Mas Arab\'i, P. Parra-Rivas, C. Ciret, S.P. Gorza, F. Leo

TL;DR
This paper introduces a mean-field model for second harmonic generation in resonators with zincblende materials, accounting for phase mismatch and nonlinear effects to analyze steady state behaviors.
Contribution
It presents a novel mean-field modeling approach that includes phase-mismatched terms as an effective Kerr effect for cavity-enhanced SHG.
Findings
Phase mismatch acts as an effective Kerr nonlinearity.
Steady state solutions are influenced by competing nonlinear effects.
The model highlights the importance of phase mismatch in SHG efficiency.
Abstract
We propose a mean-field model to describe second harmonic generation in a resonator made of a material with zincblende crystalline structure. The model is obtained through an averaging of the propagation equations and boundary conditions. It considers the phase-mismatched terms, which act as an effective Kerr effect. We analyze the impact of the different terms on the steady state solutions, highlighting the competition between nonlinearities.
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