On the asymptotic evolution of finite energy Airy wavefunctions

Chamorro-Posada, P, Sanchez-Curto, J, Aceves, AB and McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 2015, 'On the asymptotic evolution of finite energy Airy wavefunctions' , Optics Letters, 40 (12) , pp. 2850-2853.

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In general, there is an inverse relation between the degree of localization of a wavefunction of a certain class and its transform representation dictated by the scaling property of the Fourier transform. We report that in the case of finite energy Airy wavepackets a simultaneous increase in their localization in the direct and transform domains can be obtained as the apodization parameter is varied. One consequence of this is that the far field diffraction rate of a finite energy Airy beam decreases as the beam localization at the launch plane increases. We analyse the asymptotic properties of finite energy Airy wavefunctions using the stationary phase method. We obtain one dominant contribution to the long term evolution that admits a Gaussian-like approximation, which displays the expected reduction of its broadening rate as the input localization is increased.

Item Type: Article
Themes: Energy
Media, Digital Technology and the Creative Economy
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Optics Letters
Publisher: Optical Society of America
Refereed: Yes
ISSN: 0146-9592
Related URLs:
Funders: Non funded research
Depositing User: GS McDonald
Date Deposited: 08 Jul 2015 17:34
Last Modified: 15 Feb 2022 19:23
URI: https://usir.salford.ac.uk/id/eprint/35123

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