30 citations · 174 across the 15 of their papers we have counts for
15 papers
Spectral design of confining optical structures by supersymmetry techniques
Samantha Cervantes-Neri, Zulema Gress-Mendoza, Daniel O-Campa +2
In this work, we apply supersymmetric transformations to an optical medium with quadratic index distributions on both transversal coordinates defining an elliptic profile. In parti…
Bessel-Gauss beams of arbitrary integer order: propagation profile, coherence properties and quality factor
S. Cruz y Cruz, Z. Gress, P. Jimenez-Macias +1
We present a novel approach to generate Bessel-Gauss modes of arbitrary integer order and well-defined optical angular momentum in a gradient index medium of transverse parabolic p…
Balanced Gain-and-Loss Optical Waveguides: Exact Solutions for Guided Modes in Susy-QM
Sara Cruz y Cruz, Alejandro Romero-Osnaya, Oscar Rosas-Ortiz
The construction of exactly solvable refractive indices allowing guided TE modes in optical waveguides is investigated within the formalism of Darboux-Crum transformations. We appl…
On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms
Kevin Zelaya, Sara Cruz y Cruz, Oscar Rosas-Ortiz
The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued…
Laguerre-Gaussian wave propagation in parabolic media
S. Cruz y Cruz, Z. Gress, P. Jimenez-Macias +1
We report a new set of Laguerre-Gaussian wave-packets that propagate with periodical self-focusing and finite beam width in weakly guiding inhomogeneous media. These wave-packets a…
Coherent states for exactly solvable time-dependent oscillators generated by Darboux transformations
Sara Cruz y Cruz, Ruben Razo, Oscar Rosas-Ortiz +1
The Darboux method is commonly used in the coordinate variable to produce new exactly solvable (stationary) potentials in quantum mechanics. In this work we follow a variation intr…