Difference-frequency generation with quantum-limited efficiency in triply-resonant nonlinear cavities

TL;DR

This paper theoretically investigates difference-frequency generation in triply resonant cavities, revealing conditions for quantum-limited efficiency, monostability, and geometry-dependent bistability, advancing understanding of nonlinear optical processes.

Contribution

It provides a comprehensive theoretical framework for optimizing DFG efficiency and stability in triply resonant cavities, including conditions for quantum-limited conversion and bistability.

Findings

Optimal quantum-limited efficiency at any pump power under specific conditions

Existence of a broad monostable parameter range

Identification of a geometry-dependent bistable region

Abstract

We present a comprehensive study of second-order nonlinear difference frequency generation in triply resonant cavities using a theoretical framework based on coupled-mode theory. We show that optimal quantum-limited conversion efficiency can be achieved at any pump power when the powers at the pump and idler frequencies satisfy a critical relationship. We demonstrate the existence of a broad parameter range in which all triply-resonant DFG processes exhibit monostable conversion. We also demonstrate the existence of a geometry-dependent bistable region.