5 papers
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…