7 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…
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…
Waveguide arrays interaction to second neighbors: Exact solution
M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar +1
We provide an analytical framework for describing the propagation of light in waveguide arrays, considering both infinite and semi-infinite cases. The interaction up to second neig…
Complete Rabi oscillations in the ion-laser interaction
M. A. GarcÃa-Márquez, H. M. Moya-Cessa, I. Ramos-Prieto +1
We present the dynamics of a single harmonically trapped ion interacting with a laser, considering a linear combination of two eigenstates of the system as the initial state. The c…
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…