Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Evolution of the Bessel–Gaussian beam modeled by the fractional Schrödinger equation

Not Accessible

Your library or personal account may give you access

Abstract

We investigate the evolution of Bessel–Gaussian (BG) optical beams in using the fractional Schrödinger equation (FSE) without potential or with nonlocal nonlinear media, theoretically and numerically. We find that, as the propagation distance increases, the linear propagation dynamics of the 1D BG beams undergo an initial compression phase, after which each of the beams splits into two sub-beams; these sub-beams then separate from each other, forming a saddle shape as the propagation distance continues to increase; in addition, their interval also increases linearly with propagation distance. However, when the nonlocal nonlinear term is included in the FSE, 1D BG beams follow a zigzag trajectory in real space, which corresponds to a modulated anharmonic oscillation in momentum space. In the 2D case, the input chirped BG beam first evolves into a filament in real space and then into a ring structure; if the input is a superposed BG beam carrying orbital angular momentum, the rule fulfilled in evolution is similar to that for a single one, and it forms a funnel-like structure, with periodic inversion and variable rotation.

© 2020 Optical Society of America

Full Article  |  PDF Article
More Like This
Propagation dynamics of Laguerre–Gaussian beams in the fractional Schrödinger equation with noise disturbance

Weijun Zhou, Aixin Liu, Xianwei Huang, Yanfeng Bai, and Xiquan Fu
J. Opt. Soc. Am. A 39(4) 736-743 (2022)

Dynamics of Gaussian beam modeled by fractional Schrödinger equation with a variable coefficient

Feng Zang, Yan Wang, and Lu Li
Opt. Express 26(18) 23740-23750 (2018)

Propagation dynamics of the Hermite–Gaussian beam in the fractional Schrödinger equation with different potentials

Chao Tan, Yong Liang, Min Zou, Tong Lei, Pinghua Tang, and Mingwei Liu
J. Opt. Soc. Am. B 41(4) 921-930 (2024)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (10)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved