Spatial soliton propagation through a triangular waveguide: A Runge Kutta study

In this work, we have studied a traveling soliton through a triangular refractive index waveguide. Our calculations have been performed with a 4th order Runge Kutta method which we have presented the algorithm. Then we have checked the numerical accuracy and found it desirable. In our investigations...

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Bibliographic Details
Published in:Optik (Stuttgart) 2017-01, Vol.129, p.200-206
Main Authors: Shirazi, S.Z. Seyed, Solaimani, M., Farnam, B., Ghalandari, M., Aleomraninejad, S.M.A.
Format: Article
Language:English
Subjects:
4th order Runge Kutta method
Nonlinear Schrödinger equation
Spatial soliton propagation
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Summary:In this work, we have studied a traveling soliton through a triangular refractive index waveguide. Our calculations have been performed with a 4th order Runge Kutta method which we have presented the algorithm. Then we have checked the numerical accuracy and found it desirable. In our investigations, the light beam inside a waveguide have been oscillated which perfectly agree with the so-called “swing effect”. In comparison with a soliton with amplitude Q=1, for soliton amplitude Q=2 a shorter oscillation period have been observed. In the meantime, for lower waveguide widths, soliton have had shorter oscillation period. Finally, for η≠0, the soliton oscillate with higher amplitude and it recede from center of waveguide which is not desirable.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2016.10.055