High-efficiency cascaded up and down conversion in nonlinear Kerr cavities

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.

Optical Potts machine through networks of three-photon down-conversion oscillators

“…In this regard, an important future direction is to find the optimal initialization and parameter tuning which allows for finding the global minimum for an arbitrary network. The parametric 3PDC oscillations which forms the basis of the proposed Potts machine is within experimental reach [26]. In addition, arbitrary network coupling topologies can be implemented through a time domain multiplexing technique similar to the scheme utilized in Ref.…”

“…The nonlinear optical process of spontaneous parametric 3PDC has been theoretically explored and experimentally demonstrated in the bulk [21], in optical fibers [22], and in resonant cavities [23][24][25][26]. However, the interesting phase tristability of the subharmonic signal seems to be overlooked in previous studies.…”

“…Considering a doubly resonant cavity driven with a pump laser as depicted in Figure 1B, coupled mode equations for the complex modal amplitudes of the pump (a p ) and signal (a s ) can be written as [26]:…”

Emerging material systems for integrated optical Kerr frequency combs

“…This work laid the foundation for the subsequent comb generation efforts, and these synergistic research efforts have continued to present day with investigations into optomechanics, optical cooling, and other nonlinear behaviors. [18,24,26,46,59,60,63,65,[67][68][69][70][71]73,[75][76][77][78][79][80][145][146][147][148][149][150][151][152][153][154][155][156][157][158][159][160][161]…”