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 Citation (Scopus)

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

Fingerprint

pulses
propagation
lasers
simulation
envelopes
carrier waves
Maxwell equation
derivation
shock
rings

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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

Numerical Simulation of Ultra-Short Laser Pulses. / Panagiotopoulos, Paris; Whalen, Patrick Townsend; Kolesik, Miroslav; Moloney, Jerome V.

CRM Series in Mathematical Physics. Springer International Publishing, 2016. p. 185-213.

Research output: Chapter in Book/Report/Conference proceedingChapter

Panagiotopoulos, P, Whalen, PT, Kolesik, M & Moloney, JV 2016, Numerical Simulation of Ultra-Short Laser Pulses. in CRM Series in Mathematical Physics. Springer International Publishing, pp. 185-213. https://doi.org/10.1007/978-3-319-23084-9_8
Panagiotopoulos P, Whalen PT, Kolesik M, Moloney JV. Numerical Simulation of Ultra-Short Laser Pulses. In CRM Series in Mathematical Physics. Springer International Publishing. 2016. p. 185-213 https://doi.org/10.1007/978-3-319-23084-9_8
Panagiotopoulos, Paris ; Whalen, Patrick Townsend ; Kolesik, Miroslav ; Moloney, Jerome V. / Numerical Simulation of Ultra-Short Laser Pulses. CRM Series in Mathematical Physics. Springer International Publishing, 2016. pp. 185-213
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