5 papers
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…
Asymmetric Cauchy-Riemann Beams
N. Korneev, I. Ramos-Prieto, I. Julián-MacÃas +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 mechanic…
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…