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Modal Majorana sphere and hidden symmetries of structured-Gaussian beams

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arxiv 1901.06987 v3 pith:LUGPUIAN submitted 2019-01-21 physics.optics

R. Gutiérrez-Cuevas , S. A. Wadood , A. N. Vamivakas , M. A. Alonso This is my paper · ORCID
classification physics.optics
keywords majoranamodalspheresymmetriesbeamsconstellationgeometricphases
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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 complete generalization of the modal Poincar\'e sphere to higher-order modes. The symmetries of this Majorana constellation translate into invariances to astigmatic transformations, giving way to continuous or quantized geometric phases. The experimental amenability of this system is shown by verifying the existence of both these symmetries and geometric phases.

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  1. Generalized Gaussian beams in terms of Jones vectors

    physics.optics 2019-08 conditional novelty 7.0 of 10

    Generalized Hermite-Laguerre-Gauss modes are expressed in terms of a Jones vector as a sum with at most half as many terms as the standard Wigner d-function formula.

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