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, 144:2 (2005), 384–393; Theoret. and Math. Phys., 144:2 (2005), 1206

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 384–393
DOI: https://doi.org/10.4213/tmf1863 (Mi tmf1863)

This article is cited in 17 scientific papers (total 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

Full-text PDF (370 kB) Citations (17)

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DOI: https://doi.org/10.4213/tmf1863

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.

English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1206–1213
DOI: https://doi.org/10.1007/s11232-005-0151-5

Bibliographic databases:

Language: Russian

Citation: 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, 144:2 (2005), 384–393; Theoret. and Math. Phys., 144:2 (2005), 1206–1213

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1863

https://doi.org/10.4213/tmf1863

https://www.mathnet.ru/eng/tmf/v144/i2/p384

This publication is cited in the following 17 articles:

De Nicola S. Fedele R. Jovanovic D. Man'ko M.A. Man'ko V.I., “Tomographic Description of a Quantum Wave Packet in An Accelerated Frame”, Entropy, 23:5 (2021), 636
Mastiukova A.S., Gavreev M.A., Kiktenko E.O., Fedorov A.K., “Tomographic and Entropic Analysis of Modulated Signals”, Opt. Spectrosc., 128:7 (2020), 902–908
Françoise Briolle, Xavier Leoncini, Nonlinear Systems and Complexity, 6, Discontinuity and Complexity in Nonlinear Physical Systems, 2014, 215
Fedorov A., “Feynman Integral and Perturbation Theory in Quantum Tomography”, Phys. Lett. A, 377:37 (2013), 2320–2323
Fedorov A.K. Yurchenko S.O., “Quantum Tomograms and their Application in Quantum Information Science”, 21st International Laser Physics Workshop, Journal of Physics Conference Series, 414, IOP Publishing Ltd, 2013, 012040
Xie Chuan-Mei, Fan Hong-Yi, “New theorem relating two-mode entangled tomography to two-mode Fresnel operator”, Chinese Physics B, 21:1 (2012), 010302
Xie Chuan-Mei, Fan Hong-Yi, “A new theorem relating quantum tomogram to the Fresnel operator”, Chinese Physics B, 20:6 (2011), 060303
Schultz J., “State reconstruction via infinite matrix inversion”, Phys Scripta, T140 (2010), 014060
Kiukas J., Pellonpaa J.-P., Schultz J., “State Reconstruction Formulae for the S-Distributions and Quadratures”, Rep Math Phys, 66:1 (2010), 55–84
Briolle, F, “A tomographic analysis of reflectometry data: I. Component factorization”, Measurement Science & Technology, 20:10 (2009), 105501
De Nicola, S, “Entropic uncertainty relations for electromagnetic beams”, Physica Scripta, T135 (2009), 014053
del Campo, A, “Symplectic tomography of ultracold gases in tight waveguides”, Physical Review A, 78:2 (2008), 025602
Amosov, GG, “On the information completeness of quantum tomograms”, Physics Letters A, 372:16 (2008), 2820
Man'ko M.A., “Analogs of time-dependent quantum phenomena in optical fibers”, 395th Wilhelm and Else Heraeus Seminar - Time Dependent Phenomena in Quantum Mechanics, Journal of Physics Conference Series, 99, 2008
M A Man'ko, “Analogs of time-dependent quantum phenomena in optical fibers”, J. Phys.: Conf. Ser., 99 (2008), 012012
Sergio De Nicola, Renato Fedele, Margarita A Man'ko, Vladimir I Man'ko, “Symplectic entropy”, J. Phys.: Conf. Ser., 70 (2007), 012007
Man'ko M.A., “Linear and nonlinear optical signals in probability and phase-space representations”, 12th Central European Workshop on Quantum Optics, Journal of Physics Conference Series, 36, 2006, 126–136

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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