S. De Nicola, R. Fedele, M. A. Man'ko, V. I. Man'ko, “Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms”, TMF, 2005, Volume 144, Number 2,Pages <nobr>384

This article is cited in 17 papers

Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms

S. De Nicola^a, R. Fedele^bc, M. A. Man'ko^d, V. I. Man'ko^d

^a Istituto di Cibernetica "Eduardo Caianiello"
^b Università degli Studi di Napoli Federico II
^c Complesso Universitario di Monte S. Angelo
^d P. N. Lebedev Physical Institute, Russian Academy of Sciences

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.

Keywords: tomographic map, phase space, Wigner function, Bose–Einstein condensate, Fresnel tomogram.

DOI: 10.4213/tmf1863