39 citations · 166 across the 9 of their papers we have counts for
8 papers · 1 filter
Using fluorescent beads to emulate single flurophores
Luis A. Aleman-Castaneda, Sherry Yi-Ting Feng, Rodrigo Gutierrez-Cuevas +4
In this work, we study the conditions under which fluorescent beads can be used to emulate single fluorescent molecules in the calibration of optical microscopes. Although beads ar…
Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
R. Gutiérrez-Cuevas, D. H. J. O'Dell, M. R. Dennis +1
By studying the effects of quadratic anisotropy and quartic perturbations on the two-dimensional harmonic oscillator, one arrives at a simple model termed here the Ince oscillator,…
Optical polarization skyrmionic fields in free space
Rodrigo Gutiérrez-Cuevas, Emilio Pisanty
We construct optical beams in free space with robust skyrmionic structures in their polarization fields, both in the electric spin vector for near-circular fields and in the polari…
Generalized Gaussian beams in terms of Jones vectors
R. Gutiérrez-Cuevas, M. R. Dennis, M. A. Alonso
Based on the operator formalism that arises from the underlying SU(2) group structure, a formula is derived that provides a description of the generalized Hermite-Laguerre Gauss mo…
Modal Majorana sphere and hidden symmetries of structured-Gaussian beams
R. Gutiérrez-Cuevas, S. A. Wadood, A. N. Vamivakas +1
Structured-Gaussian beams are shown to be fully and uniquely represented by a collection of points (or constellation) on the surface of the modal Majorana sphere, providing a compl…
Measuring geometric phase without interferometry
T. Malhotra, R. Gutiérrez-Cuevas, J. Hassett +3
A simple non-interferometric approach for probing the geometric phase of a structured Gaussian beam is proposed. Both the Gouy and Pancharatnam-Berry phases can be determined from…
Complete confined bases for beam propagation in Cartesian coordinates
Rodrigo Gutiérrez-Cuevas, Miguel A. Alonso
Complete bases that are useful for beam propagation problems and that present the distinct property of being spatially confined at the initial plane are proposed. These bases are c…
Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases
Rodrigo Gutiérrez-Cuevas, Miguel A. Alonso
A novel type of discrete basis for paraxial beams is proposed, consisting of monomial vortices times polynomials of Gaussians in the radial variable. These bases have the distincti…