10 papers
Lewis-Ermakov approach for the time-dependent two-level system
M. Huerta-Sandoval, I. Ramos-Prieto, H. M. Moya-Cessa
We construct an explicit Lewis-Ermakov-type dynamical invariant for time-dependent two-level systems by exploiting their algebraic correspondence with the time-dependent harmonic o…
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.…
The Dirac sea of phase: Unifying phase paradoxes and Talbot revivals in multimode waveguides
N. Korneev, I. Ramos-Prieto, H. M. Moya-Cessa
The quantum mechanical description of phase remains a fundamental challenge, with theoretical efforts tracing from the early works of London and Dirac to discrete formalisms. In th…
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…