Nonlocal description of X waves in quadratic nonlinear materials. Academic Article uri icon


  • 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 multidimensional nonlinear waves. For X waves we show that a local cascading limit in terms of a nonlinear Schrdinger equation does not exist-one needs to use the nonlocal description, because the nonlocal response function does not converge toward a function. Also, we use the nonlocal theory to show that the coupling to the 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.

published proceedings

  • Phys Rev E Stat Nonlin Soft Matter Phys

author list (cited authors)

  • Larsen, P. V., Srensen, M. P., Bang, O., Krlikowski, W. Z., & Trillo, S.

citation count

  • 43

complete list of authors

  • Larsen, PV||Sørensen, MP||Bang, O||Królikowski, WZ||Trillo, S

publication date

  • March 2006