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.
Modal Majorana sphere and hidden symmetries of structured-Gaussian beams
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abstract
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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physics.optics 1years
2019 1verdicts
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Generalized Gaussian beams in terms of Jones vectors
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.