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Features of the gouy phase of nondiffracting beams

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Martínez Matos, Óscar and Vaveliuk, Pablo and Torchia, Gustavo Adrián (2013) Features of the gouy phase of nondiffracting beams. Progress In Electromagnetics Research-PIER, 140 . pp. 599-611. ISSN 1559-8985

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Official URL: http://jpier.org/PIER/pier.php?paper=13050606


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Abstract

It is shown how the linear Gouy phase of an ideal nondiffracting beam of +/-(k - k_z)z form, with k_z being the projection of the wavevector of modulus k of the plane wave spectrum onto the propagation axis z, is built from a rigorous treatment based on the successive approximations to the Helmholtz equation. All of different families of nondiffracting beams with a continuum spectrum, as Bessel beams, Mathieu beams and Parabolic ones, as well as nondiffracting beams with a discrete spectrum, as kaleidoscopic beams, have an identical Gouy phase that fully governs the beam propagation dynamics. Hence, a real beam whose Gouy phase is close to that linear Gouy phase in a given range, will have nondiffracting-like properties on such a range. These results are applied to determine the effective regime in which a physically realizable beam can be treated as a nondiffracting one. As a fruitful example, the Gouy phase analysis is applied to fully establish the regime in which a Helmholtz-Gauss beam propagates with nondiffracting-like properties.


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© Copyright 2014 EMW Publishing.
Financial support from the Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq), Brazil, under project 477260/2010-1, and Spanish Ministry of Science and Innovation, under project TEC 2011-23629, is acknowledged. P. V. acknowledges a PQ fellowship of CNPq.

Uncontrolled Keywords:Bessel Beams, Optical-Fields, Mathieu Beams, Diffraction, Invariance, Shift, Light
Subjects:Sciences > Physics > Optics
ID Code:25062
Deposited On:24 Apr 2014 08:45
Last Modified:24 Apr 2014 08:45

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