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List of works by Julio César Gutiérrez Vega

A Hankel transform distribution algorithm for paraxial wavefields with an application to free-space optical beam propagation

A particle-like model for soliton propagation in optical lattices

Adaptive boundaryless finite-difference method

scientific article published in February 2013

Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method: comment

scientific article published in April 2007

Analytic design of a spherochromatic singlet

scientific article published on 01 January 2020

Boundaryless finite-difference method for three-dimensional beam propagation

scientific article published in April 2006

Cartesian beams

scientific article

Characterization of elliptic dark hollow beams

Circular beams

scientific article published in January 2008

Classical solutions for a free particle in a confocal elliptic billiard

Comment on "Eigenfields and output beams of an unstable Bessel-Gauss resonator".

scientific article published in March 2007

Comment on "Exact solution of resonant modes in a rectangular resonator".

scientific article published in August 2006

Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields

scientific article published in January 2004

Coupled mode competition in unstable resonators using the exact cavity equations of motion with dynamic gain

Creation operators for Cartesian and circular beams

scientific article published on 01 May 2016

Cross-correlation measurements and the topological charge of a Laguerre-Gaussian beam

Derivatives of elegant Laguerre–Gaussian beams: vortex structure and orbital angular momentum

Diffraction of plane waves by apodized finite-radius spiral phase plates of integer and fractional topological charge

Diffraction of plane waves by finite-radius spiral phase plates of integer and fractional topological charge

scientific article published in April 2009

Direct detection of optical phase conjugation in a colloidal medium

scientific article

Dynamic parabolic optical lattice

Dynamics of polarization singularities in composite optical vortices

Electromagnetic scattering in the open elliptic quantum billiard

Elliptical beams

scientific article published in December 2008

Elliptically modulated self-trapped singular beams in nonlocal nonlinear media: ellipticons

scientific article published in December 2007

Engineering of nondiffracting beams with genetic algorithms

scientific article published in December 2012

Engineering parabolic beams with dynamic intensity profiles

scientific article published in August 2013

Fiber based optical trapping of aerosols

scientific article published in September 2008

Focal shift effect in vector parabolic-Gauss beams

Focal shift in vector Mathieu-Gauss beams

scientific article

Fractional Ince equation with a Riemann–Liouville fractional derivative

Fractionalization of optical beams: I. Planar analysis

scientific article published in June 2007

Fractionalization of optical beams: II. Elegant Laguerre-Gaussian modes

scientific article published in May 2007

General formula to design a freeform singlet free of spherical aberration and astigmatism

article

Generalization of the axicon shape: the gaxicon

scientific article published on 01 November 2018

Generalized Helmholtz-Gauss beam and its transformation by paraxial optical systems

scientific article published in October 2006

Generalized Ince Gaussian beams

Generation of Mathieu-Gauss modes with an axicon-based laser resonator

scientific article published in November 2008

Generation of arbitrary complex quasi-non-diffracting optical patterns

scientific article

Generation of helical Ince-Gaussian beams with a liquid-crystal display

scientific article

Generation of helical Ince-Gaussian beams: beam-shaping with a liquid crystal display

Generation of rotary beams by interaction of moving solitons in nonlocal media

Geometric phase morphology of Jones matrices

scientific article published in July 2017

Geometrical optics calculation of forces and torques produced by a ringed beam on a prolate spheroid

Helical Mathieu and parabolic localized pulses

scientific article published in November 2007

Helmholtz-Gauss waves

scientific article published in February 2005

Higher-order complex source for elegant Laguerre-Gaussian waves

scientific article published in October 2004

Higher-order moments and overlaps of Cartesian beams

Higher-order moments and overlaps of rotationally symmetric beams

Ince-Gaussian beams

scientific article

Ince-Gaussian beams in a quadratic-index medium

scientific article published in February 2005

Ince-Gaussian modes of the paraxial wave equation and stable resonators

scientific article

Ince–Gaussian series representation of the two-dimensional fractional Fourier transform

scientific article published on 01 March 2005

Manipulation of dielectric particles with nondiffracting parabolic beams

scientific article published on 01 December 2014

Measurement of orbital angular momentum with an off-axis superposition of vector modes

Measuring topological charge using Stokes parameters

Mode structure and attenuation characteristics of hollow parabolic waveguides

Morphological transformation of generalized spirally polarized beams by anisotropic media and its experimental characterization

scientific article published on 01 November 2019

Nonazimuthally symmetric localized pulses in the optical domain

Nondiffracting vortex beams with continuous orbital angular momentum order dependence

article published in 2007

Normalization of the Mathieu-Gauss optical beams

scientific article published in January 2007

Numerical calculation of arbitrary Helmholtz-Gauss beams

Observation of Ince-Gaussian modes in stable resonators

scientific article

Observation of non-diffracting behavior at the single-photon level

scientific article published on 01 December 2012

Observation of optical guiding using thermal light

Observation of parabolic nondiffracting optical fields

scientific article published in April 2005

On-demand tailored vector beams

scientific article published in August 2017

Optical fields with tunable transverse intensity fluxes arranged over a semi-circle

Optical flow of non-integer order in particle image velocimetry techniques

Optical forces on a Mie spheroidal particle arbitrarily oriented in a counterpropagating trap

Optical forces on a spheroidal microparticle using a classical optics approximation

Orbital angular momentum of optical vortices from power measurements and the cross-correlation function

scientific article published on 01 April 2014

Orbital angular momentum transfer in helical Mathieu beams

Orbital angular momentum transfer in helical Mathieu beams

scientific article published on 01 May 2006

Pancharatnam–Berry phase of optical systems ⬇️

scientific article published on April 1, 2011

Parabolic nondiffracting optical wave fields

scientific article

Phase dynamics of continuous topological upconversion in vortex beams

scientific article published in July 2008

Production of high-order Bessel beams with a Mach-Zehnder interferometer

scientific article published in September 2004

Propagation

scholarly article published in 2004

Propagation dynamics of Helical Hermite-Gaussian beams

article

Propagation of Helmholtz-Gauss beams in absorbing and gain media

scientific article published in August 2006

Propagation of Whittaker-Gaussian beams

Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems

scientific article published in October 2006

Quasi-one-dimensional optical lattices for soliton manipulation.

scientific article

Rotary solitons in elliptical photonic lattices

Scalar wave scattering in spherical cavity resonator with conical channels

scientific article published on 01 February 2014

Self-trapped modes in highly nonlocal nonlinear media

Shaping Bessel beams with a generalized differential operator approach

Shaping a Bessel optical lattice for soliton propagation

Shaping optical beams with non-integer orbital-angular momentum: a generalized differential operator approach

scientific article published on 01 April 2015

Shaping quasinondiffracting beams using a circular Radon transform

scholarly article published 15 October 2012

Singlet lens for generating aberration-free patterns on deformed surfaces

scientific article published on 01 May 2019

Soliton dynamics in modulated Bessel photonic lattices

article

Stable solitons in elliptical photonic lattices

scientific article published in December 2008

The field of values of Jones matrices: classification and special cases

scientific article published on 07 October 2020

The generation of nondiffracting beams using inexpensive computer-generated holograms

Theory of the unstable Bessel resonator.

scientific article published in September 2005

Tunneling phenomena in the open elliptic quantum billiard

scientific article published on 12 July 2012

Two-dimensional Fourier transform of scaled Dirac delta curves

scientific article published in September 2004

Unwound vortex beam shaping

Vector Helmholtz-Gauss and vector Laplace-Gauss beams

scientific article

Visualization of optical fields with ellipsoidal geometry

scholarly article published 15 October 2012

Vortex structure of elegant Laguerre-Gaussian beams of fractional order

scientific article published in November 2013

Wavefront reconstruction of vortex beams via a simplified transport of intensity equation and its symmetry based error reduction

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