Nonlocal description of X waves in quadratic nonlinear materials

Peter Ulrik Vingaard Larsen, Mads Peter Sørensen, Ole Bang, W. Z. Krolikowski, S. Trillo

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We study localized light bullets and X-waves in quadratic media and show how the notion of nonlocality can provide an alternative simple physical picture of both types of multi-dimensional nonlinear waves. For X-waves we show that a local cascading limit in terms of a nonlinear Schrodinger equation does not exist - one needs to use the nonlocal description, because the nonlocal response function does not converge towards a delta-function. Also, we use the nonlocal theory to show for the first time that the coupling to second harmonic is able to generate an X-shape in the fundamental field despite having anomalous dispersion, in contrast to the predictions of the cascading limit.
Original languageEnglish
JournalPhysical Review E
Issue number3
Pages (from-to)036614
Publication statusPublished - 2006

Bibliographical note

Copyright 2006 American Physical Society


  • X-waves
  • Nonlocal description
  • Nonlinear optics
  • Quadratic nonlinear materials

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