Multimodal unidirectional pulse propagation equation

P. Béjot
Phys. Rev. E 99, 032217 – Published 22 March 2019

Abstract

In this paper, after a brief recall of the derivation of the unidirectional pulse propagation equation generalized to structured media, a fast modal transform linking the spatiotemporal representation of the field and its modal distribution is presented. This transform is used for solving the propagation equation by using a split-step algorithm in an efficient way. As an example, we present, to the best of our knowledge, the first numerical evidence of the generation of conical waves in highly multimodes waveguides.

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  • Received 27 November 2018

DOI:https://doi.org/10.1103/PhysRevE.99.032217

©2019 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

P. Béjot*

  • Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS/Université Bourgogne Franche-Comté, 21078 Dijon, France

  • *pierre.bejot@u-bourgogne.fr

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Vol. 99, Iss. 3 — March 2019

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