Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms |
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| Authors: | S. De Nicola R. Fedele M. A. Man'ko V. I. Man'ko |
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| Affiliation: | (1) Istituto di Cibernetica “Eduardo Caianiello” del CNR Comprensorio “A. Olivetti” Fabbr. 70, Via Campi Flegrei 34, I-80078 Pozzuoli (NA), Italy;(2) Dipartimento di Scienze Fisiche, Universita “Federico II” di Napoli and Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Napoli, Italy;(3) Complesso Universitario di Monte S. Angelo, Via Cintia, I-80126 Napoli, Italy;(4) Lebedev Physical Institute, RAS, Moscow, Russia |
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| Abstract: | We introduce a new type of tomographic probability distribution containing complete information about the density matrix (wave function) related to the Fresnel transform of the complex wave function. We elucidate the relation to the symplectic tomographic probability distribution. We present a multimode generalization of the Fresnel tomography and give examples of applications of the present approach. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 2, pp. 384–393, August, 2005. |
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| Keywords: | tomographic map phase space Wigner function Bose-Einstein condensate Fresnel tomogram |
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