Entropic uncertainty relations for electromagnetic beams

Year: 2009

Authors: De Nicola S., Fedele R., Manko M.A., Manko V.I.

Autors Affiliation: Istituto di Cibernetica ‘Eduardo Caianiello’ del CNR Comprensorio ‘A Olivetti’ Fabbr. 70, Via Campi Flegrei, 34, I-80078 Pozzuoli (NA), Italy;
Dipartimento di Scienze Fisiche, Università ‘Federico II’ di Napoli and Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di M S Angelo, Via Cintia, I-80126 Napoli, Italy;
P N Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991, Russia

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.

Journal/Review: PHYSICA SCRIPTA

Volume: T135      Pages from: 014053  to: 014053

KeyWords: QUANTUM MECHANICS; ENTROPY; PARAXIAL OPTICS
DOI: 10.1088/0031-8949/2009/135/014053

ImpactFactor: 1.088
Citations: 8
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