5 papers
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…
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…
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…