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.
Entropic uncertainty relations for electromagnetic beams / S., De Nicola; Fedele, Renato; M. A., Man’Ko; V. I., Man’Ko. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - STAMPA. - T135:(2009), pp. 014053-014057. [10.1088/0031-8949/2009/135/014053]
Entropic uncertainty relations for electromagnetic beams
FEDELE, RENATO;
2009
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
