Bistable Helmholtz bright solitons in saturable materials | Zendy

JM Christian | Zendy; GS McDonald | Zendy; Pedro ChamorroPosada | Zendy

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Bistable Helmholtz bright solitons in saturable materials

Author(s) -

JM Christian,

GS McDonald,

Pedro ChamorroPosada

Publication year - 2009

Publication title -

journal of the optical society of america b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.741

H-Index - 144

eISSN - 1520-8540

pISSN - 0740-3224

DOI - 10.1364/josab.26.002323

Subject(s) - bistability , paraxial approximation , helmholtz equation , physics , nonlinear system , helmholtz free energy , limit (mathematics) , beam (structure) , saturable absorption , stability (learning theory) , oblique case , conservation law , range (aeronautics) , refractive index , classical mechanics , optics , mathematical analysis , mathematics , quantum mechanics , laser , materials science , linguistics , fiber laser , philosophy , machine learning , computer science , composite material , boundary value problem

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.

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