Bistable Helmholtz dark spatial optical solitons in materials with self-defocusing saturable nonlinearity

Christian, JM; Lundie, MJ

Abstract

We present, to the best of our knowledge, the first exact dark spatial solitons of a nonlinear Helmholtz equation with a self-defocusing saturable refractive-index model. These solutions capture oblique (arbitrary-angle) propagation in both the forward and backward directions, and they can also exhibit a bistability characteristic. A detailed derivation is presented, obtained by combining coordinate transformations and direct-integration methods, and the corresponding solutions of paraxial theory are recovered asymptotically as a subset. Simulations examine the robustness of the new Helmholtz solitons, with stationary states emerging from a range of perturbed input beams.

Citation

Christian, J., & Lundie, M. (2017). Bistable Helmholtz dark spatial optical solitons in materials with self-defocusing saturable nonlinearity. Journal of Nonlinear Optical Physics and Materials, 26(02), https://doi.org/10.1142/S0218863517500242

• Journal Article Type: Article
• Acceptance Date: Jun 13, 2017
• Publication Date: Jun 1, 2017
• Deposit Date: Aug 17, 2017
• Publicly Available Date: Jun 30, 2018
• Journal: Journal of Nonlinear Optical Physics & Materials
• Print ISSN: 0218-8635
• Electronic ISSN: 1793-6624
• Publisher: World Scientific Publishing
• Volume: 26
• Issue: 02
• DOI: https://doi.org/10.1142/S0218863517500242
• Publisher URL: https://doi.org/10.1142/S0218863517500242
• Related Public URLs: http://www.worldscientific.com/worldscinet/jnopm