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

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 opt...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Lanning, R Nicholas, Xiao, Zhihao, Zhang, Mi, Novikova, Irina, Mikhailov, Eugeniy, Dowling, Jonathan P
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.04.2017
Subjects
Angular momentum
Beams (radiation)
Gaussian beams (optics)
Momentum transfer
Nonlinear optics
Physics - Optics
Physics - Quantum Physics
Propagation modes
Theory
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1702.01095