Abstract
In this work, we derive general conditions to achieve high efficiency cascaded third harmonic generation and three photon parametric down conversion in Kerr nonlinear resonant cavities. We employ the general yet rapid temporal coupled-mode method, previously shown to accurately predict electromagnetic conversion processes in the time domain. In our study, we find that high-efficiency cascaded third harmonic generation can be achieved in a triply resonant cavity. In contrast, high-efficiency cascaded three-photon parametric down conversion cannot be achieved directly in a triply resonant cavity, although a combination of two doubly resonant cavities and three waveguides is an effective alternative. The stabilities of the calculated steady-state solutions for both processes are revealed by applying Jacobian matrices. Finally, we find that the inclusion of self- and cross- phase modulation introduces multi-stable solutions. Further study is required to find a simple way to reliably achieve stable conversion at the highest possible efficiency.
Highlights
One of the key outstanding challenges associated with nonlinear optics since its inception [1] is obtaining strong interactions without exceeding the damage threshold for materials [2]
There has been some recent theoretical work on third harmonic generation (THG) in a doubly-resonant Kerr cavity, which has already shown that 100% conversion efficiency can be achieved with critical input power [5]
The efficiency of χ(3) nonlinear conversion processes in cavities will first be calculated in the absence of self- and cross-phase modulation terms in above sections, i.e., mi j = 0 (Subsection 3.2)
Summary
One of the key outstanding challenges associated with nonlinear optics since its inception [1] is obtaining strong interactions without exceeding the damage threshold for materials [2]. There has been some recent theoretical work on third harmonic generation (THG) in a doubly-resonant Kerr cavity, which has already shown that 100% conversion efficiency can be achieved with critical input power [5]. We will study three photon parametric down conversion (3PDC) with a pulse at ω as a seed to excite high-efficiency conversion in a Kerr cavity, analyze its dynamical process This method can both dramatically lower the input power threshold while achieving up to 100% conversion efficiency at a critical input power, under ideal conditions, since it is not subject to the Manley-Rowe limits of DFG processes.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
