Abstract
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 language | English |
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Journal | Physical Review E |
Volume | 73 |
Issue number | 3 |
Pages (from-to) | 036614 |
ISSN | 2470-0045 |
DOIs | |
Publication status | Published - 2006 |
Bibliographical note
Copyright 2006 American Physical SocietyKeywords
- X-waves
- Nonlocal description
- Nonlinear optics
- Quadratic nonlinear materials