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

J. Andreasen, M. Kolesik

Research output: Contribution to journalArticle

45 Scopus citations


Unidirectional pulse propagation equations [UPPE, Phys. Rev. E10.1103/PhysRevE.70.036604 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.

Original languageEnglish (US)
Article number036706
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3
StatePublished - Sep 27 2012


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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