Wave localization in two dimensional parabolic periodic refractive index profiles: a 4th order Runge–Kutta study

In this work, we have studied the wave localization in a two dimensional parabolic periodic refractive index profile. Our calculations have been performed by developing a 4th order Runge–Kutta method. Effects of different parameters in refractive index profile and incident wave shape on the wave int...

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Bibliographic Details
Published in:Optical and quantum electronics 2018-02, Vol.50 (2), p.1-11, Article 114
Main Authors: Solaimani, M., Farnam, B., Ghalandari, M., SeyedShirazi, S. Z.
Format: Article
Language:English
Subjects:
Characterization and Evaluation of Materials
Computer Communication Networks
Electrical Engineering
Lasers
Localization
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Refractivity
Runge-Kutta method
Wave dispersion
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Summary:In this work, we have studied the wave localization in a two dimensional parabolic periodic refractive index profile. Our calculations have been performed by developing a 4th order Runge–Kutta method. Effects of different parameters in refractive index profile and incident wave shape on the wave intensity and shape in the future are shown. Effects of the mentioned parameters on localization degree and total momentum of the system are also investigated. We find different parameters change intervals within which the excitation disperses. Thus no bound state is possible. Finally, we show when a bound state is present.
ISSN:0306-8919
1572-817X
DOI:10.1007/s11082-018-1382-7