Christian, JM, McDonald, GS and Chamorro-Posada, P 2009, 'Bistable Helmholtz bright solitons in saturable materials' , Journal of the Optical Society of America B, 26 (12) , pp. 2323-2330.
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We present, to the best of our knowledge, the first exact analytical solitons of a nonlinear Helmholtz equation with a saturable refractive-index model. These new two-dimensional spatial solitons have a bistable characteristic in some parameter regimes, and they capture oblique (arbitrary-angle) beam propagation in both the forward and backward directions. New conservation laws are reported, and the classic paraxial solution is recovered in an appropriate multiple limit. Analysis and simulations examine the stability of both solution branches, and stationary Helmholtz solitons are found to emerge from a range of perturbed input beams.
Media, Digital Technology and the Creative Economy
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|Schools:||Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)|
|Journal or Publication Title:||Journal of the Optical Society of America B|
|Publisher:||Optical Society of America|
|Depositing User:||GS McDonald|
|Date Deposited:||13 Oct 2011 09:47|
|Last Modified:||29 Oct 2015 00:11|
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