Features of the Gouy phase of nondiffracting beams

t is shown how the linear Gouy phase of an ideal nondiffracting beam of ±(k-kz)z form, with kz 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 equati...

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Autores principales: Vaveliuk, Pablo, Martínez Matos, Oscar, Torchia, Gustavo Adrián
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Linear Gouy phase
Nondiffracting beam
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/85395
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-85395
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Linear Gouy phase
Nondiffracting beam
spellingShingle Física
Linear Gouy phase
Nondiffracting beam
Vaveliuk, Pablo
Martínez Matos, Oscar
Torchia, Gustavo Adrián
Features of the Gouy phase of nondiffracting beams
topic_facet Física
Linear Gouy phase
Nondiffracting beam
description t is shown how the linear Gouy phase of an ideal nondiffracting beam of ±(k-kz)z form, with kz 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. The so much 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, which 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 an fruitful example, the Gouy phase analysis is applied to fully establish the regime in which a Helmholtz-Gauss beam propagates with nondiffracting-like properties.
format Articulo
Articulo
author Vaveliuk, Pablo
Martínez Matos, Oscar
Torchia, Gustavo Adrián
author_facet Vaveliuk, Pablo
Martínez Matos, Oscar
Torchia, Gustavo Adrián
author_sort Vaveliuk, Pablo
title Features of the Gouy phase of nondiffracting beams
title_short Features of the Gouy phase of nondiffracting beams
title_full Features of the Gouy phase of nondiffracting beams
title_fullStr Features of the Gouy phase of nondiffracting beams
title_full_unstemmed Features of the Gouy phase of nondiffracting beams
title_sort features of the gouy phase of nondiffracting beams
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/85395
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AT torchiagustavoadrian featuresofthegouyphaseofnondiffractingbeams
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