L
Luis Edgar Vicent
Researcher at National Autonomous University of Mexico
Publications - 17
Citations - 369
Luis Edgar Vicent is an academic researcher from National Autonomous University of Mexico. The author has contributed to research in topics: Fourier transform & Wave function. The author has an hindex of 8, co-authored 17 publications receiving 349 citations. Previous affiliations of Luis Edgar Vicent include Universidad Autónoma del Estado de Morelos.
Papers
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Finite two-dimensional oscillator: I. The Cartesian model
TL;DR: In this paper, a finite two-dimensional oscillator is built as the direct product of two finite onedimensional oscillators, using the dynamical Lie algebra su(2)x⊕su(2)-y. The position space in this model is a square grid of points.
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Continuous vs. discrete fractional Fourier transforms
TL;DR: In this article, the authors compare the finite Fourier (-exponential) and Fourier-Kravchuk transform, which is a canonical transform whose fractionalization is well defined.
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Finite two-dimensional oscillator: II. The radial model
TL;DR: In this paper, a finite two-dimensional radial oscillator of (N + 1)2 points is proposed, with the dynamical Lie algebra so(4) = su(2)x⊕su(2y)y examined in part I of this work, but reduced by a subalgebra chain.
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Design of bright, fiber-coupled and fully factorable photon pair sources
Luis Edgar Vicent,Alfred B. U'Ren,Radhika Rangarajan,Clara I. Osorio,Juan P. Torres,Lijian Zhang,Ian A. Walmsley +6 more
TL;DR: In this article, the authors derived a set of conditions for full factorability in all degrees of freedom between the signal and idler modes, and showed that these conditions lead to a drastically higher factorable photon-pair flux compared to an unengineered source.
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Generalized radiometry as a tool for the propagation of partially coherent fields
TL;DR: In this article, a generalized radiometric description of the wave fields is proposed for the numerical propagation of physically relevant properties of partially coherent fields, which makes the computations more efficient than those involving diffraction integrals.