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Phys. Rev. E 68, 036614 (2003) [5 pages]

Quadratic solitons as nonlocal solitons

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Nikola I. Nikolov
Informatics and Mathematical Modelling, Technical University of Denmark, 2800 Kongens Lyngby, Denmark
Department of Optics and Fluid Dynamics, Risø National Laboratory, OFD-128, P.O. Box 49, 4000 Roskilde, Denmark

Dragomir Neshev
Nonlinear Physics Group and ARC Centre of Excellence for Ultrahigh-Bandwidth Devices for Optical Systems, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia

Ole Bang
Research Center COM and Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800 Kongens Lyngby, Denmark

Wiesław Z. Królikowski
Laser Physics Centre and ARC Centre of Excellence for Ultrahigh-Bandwidth Devices for Optical Systems, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia

Received 26 February 2003; published 29 September 2003

We show that quadratic solitons are equivalent to solitons of a nonlocal Kerr medium. This provides new physical insight into the properties of quadratic solitons, often believed to be equivalent to solitons of an effective saturable Kerr medium. The nonlocal analogy also allows for analytical solutions and the prediction of bound states of quadratic solitons.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.036614
DOI:
10.1103/PhysRevE.68.036614
PACS:
42.65.Tg, 42.65.Ky, 42.65.Sf, 05.45.Yv
 
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