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Updated: Jan 26, 2026

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Multimodal unidirectional pulse propagation equation.

P Béjot1

  • 1Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR 6303 CNRS/Université Bourgogne Franche-Comté, 21078 Dijon, France.

Physical Review. E
|April 20, 2019
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Summary
This summary is machine-generated.

Researchers developed a fast modal transform to efficiently solve pulse propagation in structured media. This method provides the first numerical evidence of conical wave generation in multimode waveguides.

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Area of Science:

  • Optics and Photonics
  • Computational Electromagnetics

Background:

  • Understanding pulse propagation in structured media is crucial for optical technologies.
  • Existing methods for solving the unidirectional pulse propagation equation can be computationally intensive.

Purpose of the Study:

  • To present an efficient numerical method for solving the unidirectional pulse propagation equation in structured media.
  • To demonstrate the generation of conical waves in highly multimode waveguides.

Main Methods:

  • Derivation of the unidirectional pulse propagation equation generalized for structured media.
  • Development of a fast modal transform to link spatiotemporal field representation with modal distribution.
  • Application of a split-step algorithm utilizing the modal transform for efficient equation solving.

Main Results:

  • The proposed fast modal transform significantly enhances the efficiency of solving the propagation equation.
  • The study provides the first numerical evidence of conical wave generation in highly multimode waveguides.
  • The split-step algorithm combined with the modal transform offers an efficient computational approach.

Conclusions:

  • The developed fast modal transform is an effective tool for simulating pulse propagation in complex optical media.
  • This work opens new avenues for studying and potentially controlling wave phenomena like conical waves in waveguides.