8 papers
From Rings to Top-Hat beams
M. A. Jácome-Silva, I. JulÃan-MacÃas, 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 RuÃz, Israel Julián-MacÃas +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. JulÃan-MacÃas, 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…
An operator approach to the Madelung-Bohm continuity equation
M. A. GarcÃa-Márquez, H. M. Moya-Cessa, I. Ramos-Prieto +1
We solve the probability continuity equation within the Madelung-Bohm framework, assuming a separable phase expressed as . Using operator methods, w…