Newton's method for evaluation of stationary modes in nonlinear waveguides and boson traps

Vladislav V. Serov; Vladimir L. Derbov; Sergey I. Vinitsky

doi:10.1117/12.426684

9 May 2001 Newton's method for evaluation of stationary modes in nonlinear waveguides and boson traps

Vladislav V. Serov, Vladimir L. Derbov, Sergey I. Vinitsky

Proceedings Volume 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling; (2001) https://doi.org/10.1117/12.426684
Event: Saratov Fall Meeting 2000, 2001, Saratov, Russian Federation

Abstract

Basing on the continuous analog of Newton's method, we propose an efficient numerical scheme for solving stationary Schrodinger equations with cubic nonlinearity that arise in the scalar paraxial theory of optical waveguides as well as in the theory of boson traps.

Citation Download Citation

Vladislav V. Serov, Vladimir L. Derbov, and Sergey I. Vinitsky "Newton's method for evaluation of stationary modes in nonlinear waveguides and boson traps", Proc. SPIE 4243, Saratov Fall Meeting 2000: Laser Physics and Photonics; and Spectroscopy and Molecular Modeling, (9 May 2001); https://doi.org/10.1117/12.426684

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