Multimodal unidirectionnal pulse propagation equation

Abstract

In this paper, the unidirectional pulse propagation equation generalized to structured media is derived. A fast modal transform linking the spatio-temporal 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. 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.

12 pages, 7 figures

References in corpus (5)

• Fiber-optical analogue of the event horizon
• Spatial beam self-cleaning in multimode fiber
• Self-organized instability in graded-index multimode fibres
• Nonlinear propagation of light in structured media: generalized unidirectional pulse propagation equations
• On the generation and the nonlinear dynamics of X-waves of the Schroedinger equation

Cited by in corpus (4)

• Quantized conical waves in multimode optical fibers
• Experimental observation of spontaneous emission of space-time wavepacket in a multimode optical fiber
• Coupling to multi-mode waveguides with space-time shaped free-space pulses
• Spatio-temporal thermalization and adiabatic cooling of guided light waves