Beam propagation management in a fractional Schrödinger equation

Beam propagation management in a fractional Schrödinger equation

Abstract Generalization of Fractional Schrödinger equation (FSE) into optics is fundamentally important, since optics usually provides a fertile ground where FSE-related phenomena can be effectively observed. Beam propagation management is a topic of considerable interest in the field of optics. Her...

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Autores principales: Changming Huang, Liangwei Dong
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2017
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Science
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Acceso en línea:https://doaj.org/article/f750194d1f8b463dae36b7794b108304
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spelling oai:doaj.org-article:f750194d1f8b463dae36b7794b1083042021-12-02T12:32:32ZBeam propagation management in a fractional Schrödinger equation10.1038/s41598-017-05926-52045-2322https://doaj.org/article/f750194d1f8b463dae36b7794b1083042017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-05926-5https://doaj.org/toc/2045-2322Abstract Generalization of Fractional Schrödinger equation (FSE) into optics is fundamentally important, since optics usually provides a fertile ground where FSE-related phenomena can be effectively observed. Beam propagation management is a topic of considerable interest in the field of optics. Here, we put forward a simple scheme for the realization of propagation management of light beams by introducing a double-barrier potential into the FSE. Transmission, partial transmission/reflection, and total reflection of light fields can be controlled by varying the potential depth. Oblique input beams with arbitrary distributions obey the same propagation dynamics. Some unique properties, including strong self-healing ability, high capacity of resisting disturbance, beam reshaping, and Goos-Hänchen-like shift are revealed. Theoretical analysis results are qualitatively in agreements with the numerical findings. This work opens up new possibilities for beam management and can be generalized into other fields involving fractional effects.Changming HuangLiangwei DongNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Changming Huang
Liangwei Dong
Beam propagation management in a fractional Schrödinger equation
description Abstract Generalization of Fractional Schrödinger equation (FSE) into optics is fundamentally important, since optics usually provides a fertile ground where FSE-related phenomena can be effectively observed. Beam propagation management is a topic of considerable interest in the field of optics. Here, we put forward a simple scheme for the realization of propagation management of light beams by introducing a double-barrier potential into the FSE. Transmission, partial transmission/reflection, and total reflection of light fields can be controlled by varying the potential depth. Oblique input beams with arbitrary distributions obey the same propagation dynamics. Some unique properties, including strong self-healing ability, high capacity of resisting disturbance, beam reshaping, and Goos-Hänchen-like shift are revealed. Theoretical analysis results are qualitatively in agreements with the numerical findings. This work opens up new possibilities for beam management and can be generalized into other fields involving fractional effects.
format article
author Changming Huang
Liangwei Dong
author_facet Changming Huang
Liangwei Dong
author_sort Changming Huang
title Beam propagation management in a fractional Schrödinger equation
title_short Beam propagation management in a fractional Schrödinger equation
title_full Beam propagation management in a fractional Schrödinger equation
title_fullStr Beam propagation management in a fractional Schrödinger equation
title_full_unstemmed Beam propagation management in a fractional Schrödinger equation
title_sort beam propagation management in a fractional schrödinger equation
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/f750194d1f8b463dae36b7794b108304
work_keys_str_mv AT changminghuang beampropagationmanagementinafractionalschrodingerequation
AT liangweidong beampropagationmanagementinafractionalschrodingerequation
_version_ 1718394074134740992

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