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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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

Chao Zhou, Peter Bermel

|September 26, 2015

Summary

High efficiency third harmonic generation is achievable in resonant cavities. However, three-photon parametric down conversion requires a different cavity configuration for efficient, stable results.

Area of Science:

Nonlinear optics
Quantum optics
Photonics

Background:

Kerr nonlinear resonant cavities are crucial for efficient light conversion.
Cascaded nonlinear processes like third harmonic generation and three-photon parametric down conversion are key for advanced optical applications.

Purpose of the Study:

To derive conditions for high-efficiency cascaded third harmonic generation (THG) and three-photon parametric down conversion (TPPC).
To investigate the feasibility of achieving these processes in resonant cavities using temporal coupled-mode theory.
To analyze the stability of the generated solutions and the impact of phase modulation.

Main Methods:

Utilizing the temporal coupled-mode method for time-domain analysis of electromagnetic conversion.
Applying Jacobian matrices to determine the stability of steady-state solutions.

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Investigating different resonant cavity configurations (triply and doubly resonant).

Main Results:

High-efficiency cascaded THG is achievable in a triply resonant cavity.
Directly achieving high-efficiency cascaded TPPC in a triply resonant cavity is not feasible.
A combination of two doubly resonant cavities and three waveguides offers an effective alternative for TPPC.
Self- and cross-phase modulation can lead to multi-stable solutions, complicating stable conversion.

Conclusions:

Specific cavity designs are critical for optimizing cascaded nonlinear optical processes.
While THG is readily achieved, TPPC requires a more complex setup for high efficiency.
Further research is needed to develop reliable methods for stable, high-efficiency TPPC.