Numerical Simulation of Ultra-Short Laser Pulses

Paris Panagiotopoulos, Patrick Townsend Whalen, Miroslav Kolesik, Jerome V. Moloney

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

This chapter contains the numerical models used to describe ultra-short pulse propagation while taking a brief look on their derivation from the Maxwell equations. The main models described here are the unidirectional pulse propagation equation (UPPE) and the modified Kadomtsev-Petviashvili equation (MKP), while a brief look is taken at the main envelope counterpart, the nonlinear envelope equation (NEE) model. The chapter concludes with the presentation of various applications of the UPPE and the MKP in the study of carrier wave shocks in various realistically model media, and a special case of the propagation properties of the two-dimensional XY Airy beam and its radial symmetric version, the ring-Airy beam, in the linear and nonlinear regimes.

Original languageEnglish (US)
Title of host publicationCRM Series in Mathematical Physics
PublisherSpringer International Publishing
Pages185-213
Number of pages29
ISBN (Electronic)9783319230849
ISBN (Print)9783319230832
DOIs
StatePublished - Jan 1 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Panagiotopoulos, P., Whalen, P. T., Kolesik, M., & Moloney, J. V. (2016). Numerical Simulation of Ultra-Short Laser Pulses. In CRM Series in Mathematical Physics (pp. 185-213). Springer International Publishing. https://doi.org/10.1007/978-3-319-23084-9_8