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Phys. Rev. Lett. 98, 053901 (2007) [4 pages]

Laguerre and Hermite Soliton Clusters in Nonlocal Nonlinear Media

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Daniel Buccoliero1,2, Anton S. Desyatnikov1, Wieslaw Krolikowski2, and Yuri S. Kivshar1
1Nonlinear Physics Center, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia
2Laser Physics Center, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia

Received 29 November 2006; published 1 February 2007

We introduce novel classes of higher-order spatial optical solitons in analogy with Laguerre-Gaussian and Hermite-Gaussian linear eigenmodes. We reveal that stable higher-order optical solitons can exist in nonlocal nonlinear media in the various forms of soliton necklaces and soliton matrices. Modulational instability can lead to nontrivial transformations between energetically close solitons with different symmetries through the intermediate states resembling generalized Hermite-Laguerre-Gaussian modes.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.053901
DOI:
10.1103/PhysRevLett.98.053901
PACS:
42.65.Tg, 42.65.Hw, 42.65.Pc