6 papers · 1 filter
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…
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…
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-MacÃas, 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…
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…