51 citations · 383 across the 67 of their papers we have counts for
29 papers · 1 filter
From Rings to Top-Hat beams
M. A. Jácome-Silva, I. Julían-Macías, I. Ramos-Prieto +4
We present the exact analytical paraxial propagation of structured light beams that transition from Ring annular profiles to top-hat intensity distributions. The initial field is d…
Syncopated Bessel beams
Irán Ramos-Prieto, Ulises Ruíz, Israel Julián-Macías +3
We introduce the syncopated Bessel beam, a new class of exact solutions to the paraxial equation obtained by means of a sinusoidal modulation of the azimuthal phase at the source.…
Paraxial beam propagation from Airy-type initial conditions via the Operator Method
I. Julían-Macías, M. A. Jácome-Silva, I. Ramos-Prieto +4
We employ quantum mechanical operator techniques to solve the equations of and for paraxial waves with initial conditions defined by Airy-type functions. In the f…
Operator based propagation of Whittaker and Helmholtz Gauss beams
M. A. Jacome Silva, I. Julian Macias, F. Soto Eguibar +4
We introduce a compact operator-based technique that solves the paraxial wave equation for a broad class of structured light fields. Using the spatial evolution operator to propaga…
Unitary transformation approach to the paraxial wave equation
M. Huerta-Sandoval, K. Uriostegui, I. Ramos-Prieto +2
We present a framework for the paraxial wave equation based on propagation-dependent unitary transformations closely related to the Lewis-Ermakov invariant. This approach establish…
Poynting vector for Cauchy-Riemann beams
I. Julián-Macías, F. Soto-Eguibar, I. Ramos Prieto +4
We present a detailed derivation of the Poynting vector for Cauchy-Riemann beams propagating in free space considering a Gaussian modulation with . The effect gen…
Asymmetric Cauchy-Riemann Beams
N. Korneev, I. Ramos-Prieto, I. Julián-Macías +4
We investigate, theoretically and experimentally, the evolution of a paraxial beam propagating in free space when its initial transverse structure is characterized by an asymmetric…
Paraxial wave propagation: Operator techniques
H. M. Moya-Cessa, I. Ramos-Prieto, F. Soto-Eguibar +2
The similarity between the Schrödinger equation and the paraxial wave equation permits numerous analogies linking these fields, which is pivotal in advancing both quantum mechanics…
Unified approach to paraxial propagation in uniform media and media with linear or quadratic refractive index distribution
N. Korneev, I. Ramos-Prieto, F. Soto-Eguibar +3
We report explicit equations and matrix representations that allow simple calculation between three different media (free space, linear and quadratic refractive index distributions…
Cauchy-Riemann beams in GRIN media
I. Ramos-Prieto, D. Sánchez-de-la-Llave, U. Ruíz +3
We investigate the propagation characteristics of Cauchy-Riemann beams in gradient-index media. Our study reveals two key findings: a) the preservation of their form during propaga…
Cauchy-Riemann beams
H. M. Moya-Cessa, I. Ramos-Prieto, D. Sánchez-de-la-Llave +3
By using operator techniques, we solve the paraxial wave equation for a field given by the multiplication of a Gaussian function and an entire function. The latter possesses a uniq…
Optical ladder operators in the Glauber-Fock oscillator array
I. Bocanegra, L. Hernández-Sánchez, I. Ramos-Prieto +2
In this study, we investigate the stationary states of the Glauber-Fock oscillator waveguide array. We begin by transforming the associated Hamiltonian into the form of a quantum h…
Supersymmetric behavior of polarized electromagnetic waves in anisotropic media
Felipe A. Asenjo, Sergio A. Hojman, Braulio M. Villegas-Martínez +2
A medium with specific anisotropic refractive indices can induce a supersymmetric behavior in the propagation of polarized electromagnetic waves, in an analogue fashion to a quantu…
Exotic light transition between superluminal and subliminal group velocity in a coupled slab waveguide
B. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We propose a rigorous full-wave modal analysis based on the eigenmodes approach (\textquotedblleft supermodes\textquotedblright), that allows the calculation of the transverse elec…
Bohm approach to the Gouy phase shift
Héctor M. Moya-Cessa, Sergio A. Hojman, Felipe A. Asenjo +1
By adapting the Madelung-Bohm formalism to paraxial wave propagation we show, by using Ermakov-Lewis techniques, that the Gouy phase is related to the form of the phase chosen in o…
Propagation of light in linear and quadratic GRIN media: The Bohm potential
Felipe A. Asenjo, Sergio A. Hojman, Héctor M. Moya-Cessa +1
It is shown that field propagation in linear and quadratic gradient-index (GRIN) media obeys the same rules of free propagation in the sense that a field propagating in free space…
Orbital angular momentum due to modes interference
Irving Rondon, Francisco Soto-Eguibar
We present generalized expressions to calculate the orbital angular momentum for invariant beams using scalars potentials. The solutions can be separated into transversal electric…
Properties of the Poynting vector for invariant beams: negative propagation in Weber beams
Irving Rondon, Francisco Soto-Eguibar
Negative propagation is an uncommon response produced by the local sign change in Poynting vector components. We present a general Poynting vector expression for all invariant beam…
Generalized optical theorem for propagation invariant beams
Irving Rondon, Francisco Soto-Eguibar
Many practical applications require the analysis of electromagnetic scattering properties of local structures using different sources of illumination. The Optical Theorem (OT) is a…
Electromagnetic field theory for invariant beams using scalar potentials
Irving Rondon, F. Soto-Eguibar
We present a description of the electromagnetic field for propagation invariant beams using scalar potentials. Fundamental dynamical quantities are obtained: the energy density, th…
Light propagation in inhomogeneous media, coupled quantum harmonic oscillators and phase transitions
Alejandro R. Urzúa, Irán Ramos-Prieto, Francisco Soto-Eguibar +2
This contribution has two main purposes. First, we show using classical optics how to model two coupled quantum harmonic oscillators and two interacting quantized fields. Second, w…
Squeeze operators in classical scenarios
Jorge A. Anaya-Contreras, Arturo Zúñiga-Segundo, Francisco Soto-Eguibar +2
We analyse the paraxial field propagation in the realm of classical optics, showing that it can be written as the action of the fractional Fourier transform, followed by the squeez…
Conversion of any finite bandwidth optical field into a shape invariant beam
V. Arrizón, F. Soto-Eguibar, D. Sánchez-de-la-Llave +1
We discuss a method to transform any optical field, with finite frequency bandwidth, into a shape invariant beam with transverse scaling, dependent on the propagation distance. The…
Normalization of the wavefunction obtained from perturbation theory based on a matrix method
B. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We present the derivation of the normalization constant for the perturbation matrix method recently proposed. The method is tested on the problem of a binary waveguide array for wh…