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Title: Accelerating Airy–Gauss–Kummer localized wave packets

Abstract

A general approach to generating three-dimensional nondiffracting spatiotemporal solutions of the linear Schrödinger equation with an Airy-beam time-dependence is reported. A class of accelerating optical pulses with the structure of Airy–Gauss–Kummer vortex beams is obtained. Our results demonstrate that the optical field contributions to the Airy–Gauss–Kummer accelerating optical wave packets of the cylindrical symmetry can be characterized by the radial and angular mode numbers. -- Highlights: •A general solution of 3D linear Schrödinger equation with an Airy time-dependence is reported. •We find that the Airy–Kummer spatiotemporal wave packets can carry infinite energy. •A class of the accelerating spatiotemporal optical pulses with special structures was found. •The spatiotemporal wave packets retain their energy features over several Rayleigh lengths.

Authors:
 [1];  [2];  [3];  [2]
  1. Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300 (China)
  2. Texas A and M University at Qatar, P.O. Box 23874 Doha (Qatar)
  3. Key Laboratory for Physical Electronics and Devices of the Ministry of Education and Shaanxi Key Lab of Information Photonic Technique, Xi’an Jiaotong University, Xi’an 710049 (China)
Publication Date:
OSTI Identifier:
22224285
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 340; Journal Issue: 1; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAMS; CYLINDRICAL CONFIGURATION; EQUATIONS; LENGTH; MATHEMATICAL SOLUTIONS; PULSES; SYMMETRY; TIME DEPENDENCE

Citation Formats

Zhong, Wei-Ping, E-mail: zhongwp5@126.com, Belić, Milivoj, Zhang, Yiqi, and Huang, Tingwen. Accelerating Airy–Gauss–Kummer localized wave packets. United States: N. p., 2014. Web. doi:10.1016/J.AOP.2013.10.015.
Zhong, Wei-Ping, E-mail: zhongwp5@126.com, Belić, Milivoj, Zhang, Yiqi, & Huang, Tingwen. Accelerating Airy–Gauss–Kummer localized wave packets. United States. doi:10.1016/J.AOP.2013.10.015.
Zhong, Wei-Ping, E-mail: zhongwp5@126.com, Belić, Milivoj, Zhang, Yiqi, and Huang, Tingwen. Wed . "Accelerating Airy–Gauss–Kummer localized wave packets". United States. doi:10.1016/J.AOP.2013.10.015.
@article{osti_22224285,
title = {Accelerating Airy–Gauss–Kummer localized wave packets},
author = {Zhong, Wei-Ping, E-mail: zhongwp5@126.com and Belić, Milivoj and Zhang, Yiqi and Huang, Tingwen},
abstractNote = {A general approach to generating three-dimensional nondiffracting spatiotemporal solutions of the linear Schrödinger equation with an Airy-beam time-dependence is reported. A class of accelerating optical pulses with the structure of Airy–Gauss–Kummer vortex beams is obtained. Our results demonstrate that the optical field contributions to the Airy–Gauss–Kummer accelerating optical wave packets of the cylindrical symmetry can be characterized by the radial and angular mode numbers. -- Highlights: •A general solution of 3D linear Schrödinger equation with an Airy time-dependence is reported. •We find that the Airy–Kummer spatiotemporal wave packets can carry infinite energy. •A class of the accelerating spatiotemporal optical pulses with special structures was found. •The spatiotemporal wave packets retain their energy features over several Rayleigh lengths.},
doi = {10.1016/J.AOP.2013.10.015},
journal = {Annals of Physics (New York)},
number = 1,
volume = 340,
place = {United States},
year = {Wed Jan 15 00:00:00 EST 2014},
month = {Wed Jan 15 00:00:00 EST 2014}
}
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