Nonlinear propagation of light in structured media: generalized unidirectional pulse propagation equations

Abstract

Unidirectional pulse propagation equations [UPPE, Phys. Rev. E 70, 036604 (2004)] have provided a theoretical underpinning for computer-aided investigations into dynamics of high-power ultrashort laser pulses and have been successfully utilized for almost a decade. Unfortunately, they are restricted to applications in bulk media or, with additional approximations, to simple waveguide geometries in which only a few guided modes can approximate the propagating waveform. The purpose of this work is to generalize the directional pulse propagation equations to structures characterized by strong refractive index differences and material interfaces. We also outline a numerical solution framework that draws on the combination of the bulk-media UPPE method with single-frequency beam-propagation techniques.

8 pages

References in corpus (6)

• Bright Coherent Ultrahigh Harmonics in the keV X-Ray Regime from Mid-Infrared Femtosecond Lasers
• Ultrashort filaments of light in weakly-ionized, optically-transparent media
• Few cycle pulse propagation
• Theory of directional pulse propagation
• A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses
• Limits of the uni-directional pulse propagation approximation

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