کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633735 | 1340678 | 2009 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger's equation with square-root law nonlinearity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger's equation with square-root law nonlinearity A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger's equation with square-root law nonlinearity](/preview/png/4633735.png)
چکیده انگلیسی
An analytical and numerical investigation of the propagation of optical beams in Kerr term-like saturable photorefractive media is performed. The major problem studied is the instability of beam propagation in nonlinear self-focusing optical media by the Runge-Kutta finite-difference numerical technique. The resulting soliton-like structures propagate and develop modulational instabilities which lead to the breakup of simple beam arrangements into more complex ones. The direct numerical simulation of the nonlinear Schrödinger's equation with square-root law nonlinearity is performed. Gaussian, super-Gaussian, and sech pulses are obtained numerically. Finally the ordinary differential equation that is obtained by the traveling wave ansatz is also studied numerically, with appropriate initial condition, leading to a traveling wave-like solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 207, Issue 2, 15 January 2009, Pages 319-326
Journal: Applied Mathematics and Computation - Volume 207, Issue 2, 15 January 2009, Pages 319-326
نویسندگان
Dawn A. Lott, Auris Henriquez, Benjamin J.M. Sturdevant, Anjan Biswas,