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arXiv · 0902.4362

Entropic uncertainty relations for electromagnetic beams

Sergio De Nicola·Renato Fedele·Margarita A. Man'ko·Vladimir I. Man'ko
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Abstract

The symplectic tomograms of 2D Hermite--Gauss beams are found and expressed in terms of the Hermite polynomials squared. It is shown that measurements of optical-field intensities may be used to determine the tomograms of electromagnetic-radiation modes. Furthermore, entropic uncertainty relations associated with these tomograms are found and applied to establish the compatibility conditions of the the field profile properties with Hermite--Gauss beam description. Numerical evaluations for some Hermite--Gauss modes illustrating the corresponding entropic uncertainty relations are finally given.

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Sergio De Nicola, Renato Fedele, Margarita A. Man'ko, Vladimir I. Man'ko. 2009-02-25. Entropic uncertainty relations for electromagnetic beams. https://arxiv.org/abs/0902.4362

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