Gaussian Beam-Propagation Theory for Nonlinear Optics - Featuring an Exact Treatment of Orbital Angular Momentum Transfer

Abstract

We present a general, Gaussian spatial mode propagation formalism for describing the generation of higher order multi-spatial-mode beams generated during nonlinear interactions. Furthermore, to implement the theory, we simulate optical angular momentum transfer interactions, and show how one can optimize the interaction to reduce the undesired modes. Past theoretical treatments of this problem have often been phenomenological, at best. Here we present an exact solution for the single-pass no-cavity regime, in which the the nonlinear interaction is not overly strong. We apply our theory to two experiments, with very good agreement, and give examples of several more configurations, easily tested in the laboratory.

References in corpus (4)

• Trans-spectral orbital angular momentum transfer via four wave mixing in Rb vapor
• Arithmetic with optical topological charged in step-wise excited Rb vapour
• Narrow band amplification of light carrying orbital angular momentum
• Topological stability of stored optical vortices

Cited by in corpus (15)

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• Spiral bandwidth of four-wave mixing in Rb vapour
• Hybrid topological evolution of multi-singularity vortex beams: Generalized nature for helical-Ince-Gaussian and Hermite-Laguerre-Gaussian modes
• Gouy phase-matched angular and radial mode conversion in four-wave mixing
• Mode-selective Image Upconversion
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• Mode Selective Image Upconversion over Turbulence
• Spatial distribution of two symmetric four-wave mixing signals induced by Gaussian beams
• Quantized Nonlinear Gaussian-Beam Dynamics $-$ Tailoring Multimode Squeezed-Light Generation
• Angular Momentum Supercontinuum from Fibre Rings
• Poincaré sphere symmetries in four-wave mixing with orbital angular momentum
• Quantum fluctuations spatial mode profiler