Accelerating Airy–Gauss–Kummer localized wave packets

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.10.015· OSTI ID:22224285

Zhong, Wei-Ping ^[1]; Belić, Milivoj ^[2]; Zhang, Yiqi ^[3]; Huang, Tingwen ^[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)

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.

• OSTI ID: 22224285
• Journal Information: Annals of Physics (New York), Vol. 340, 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); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAMS
CYLINDRICAL CONFIGURATION
EQUATIONS
LENGTH
MATHEMATICAL SOLUTIONS
PULSES
SYMMETRY
TIME DEPENDENCE