RT Journal Article
T1 Features of the gouy phase of nondiffracting beams
A1 Martínez Matos, Óscar
A1 Vaveliuk, Pablo
A1 Torchia, Gustavo Adrián
AB 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.
PB EMW Publishing
SN 1559-8985
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/33516
UL https://hdl.handle.net/20.500.14352/33516
LA eng
NO © 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.
NO Conselho Nacional de Desenvolvimento Científico e Tecnologico (CNPq), Brazil
NO Ministerio de Ciencia e Innovación (España)
DS Docta Complutense
RD 9 abr 2025