Entropic uncertainty relations for electromagnetic beams

Abstract

The symplectic tomograms of two-dimensional (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 field profile properties with Hermite–Gauss beam description. Numerical evaluations for some Hermite–Gauss modes illustrating the corresponding entropic uncertainty relations are finally given.