Loss of coherence in double-slit diffraction experiments

Sanz, Ángel S.; Borondo, F.; Bastiaans, M.J.

doi:10.1103/physreva.71.042103

Cited by 37 publications

(53 citation statements)

References 23 publications

(35 reference statements)

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“…Quantitative agreement can also be achieved as recently shown in Ref. [8], but such an analysis goes beyond the scope of the present paper. Other neutron interferometric experiments, such as those recently reviewed by Rauch and Werner [9], could be treated along the same lines once the corresponding analytical expressions become available.…”

Section: Double-slit Experimentssupporting

confidence: 73%

Quantitative complementarity in two-path interferometry

2004

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The quantitative formulation of Bohr's complementarity proposed by Greenberger and Yasin is applied to some physical situations for which analytical expressions are available. This includes a variety of conventional double-slit experiments, but also particle oscillations, as in the case of the neutral-kaon system, and Mott scattering of identical nuclei. For all these cases, a unified description can be achieved including a new parameter, ν, which quantifies the effective number of fringes one can observe in each specific interferometric set-up.

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Section: Double-slit Experimentssupporting

confidence: 73%

Quantitative complementarity in two-path interferometry

2004

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“…Optical models of slit diffraction experiments have been developed to particles like electrons and neutrons [14,15] and also x-ray experiments [16,17] to explain the behavior of the empirical data. 3 In contrast to the diffraction of partial spatial case, the problem of diffraction of partial temporal coherence has not been widely studied in the literature.…”

Section: Introductionmentioning

confidence: 99%

Diffraction of a partial temporal coherent beam from a single-slit and a circular aperture

Koushki

Alavi

2019

Optics Communications

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We generalize the notion of the Franhoufer diffraction from a single slit and a circular aperture to the case of partially temporal coherent and quasimonochromatic light. The problem is studied analytically and the effect of coherence length on the diffraction pattern is investigated. In this case the far-field distribution of the irradiance depends on the newly introduced parameter η "decoherence parameter" which governs the deviation of the diffraction pattern from the usual one. The η-dependent corrections due to temporal decoherency on the irradiance distribution in the far field is obtained. Numerical study of the effect of decoherence parameter on the Far-field diffraction pattern is performed. In the case of a single slit, there is no noticeable deviation in the central peak, but in the higher orders of diffraction, deviation become apparent. For circular apertures, as long as 1   , the beam decoherency affects the distribution profile and the first order diffraction pattern decreases and by increasing the decoherence parameter, the first order of diffraction pattern gradually disappears.

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“…In Eq. (4), the wave function ψ(x, y, z) satisfies the boundary conditions ψ(0, y, z) = ψ(b, y, z) = 0, (5) ψ(x, 0, z) = ψ(x, a, z) = 0.…”

Section: §1 Introductionmentioning

confidence: 99%

Quantum Theory of Electronic Multiple-Slit Diffraction

Wang¹,

Zhang²,

Hua³

et al. 2009

Progress of Theoretical Physics

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We study electronic multiple-slit diffraction with a quantum mechanical approach. Our theoretical results are in good agreement with classical theoretical calculations and we obtain the following resluts: (1) There are N − 2 secondary maxima and N − 1 minima between the two principle maxima in diffraction pattern. (2) As the slit number N increasing, the diffraction intensity increases and the pattern width becomes narrow. (3) The slit thickness c dose not have any influence on diffraction pattern when slit width a is far greater than the electronic wavelength λ, for example, the ratio of a λ = 10 5 , and at the ratio, the missingorder phenomenon can be observed when d+a a = n (n = 1, 2, 3 . . .), where d is the distance of slit-to-slit. (4) When a is not far greater than λ (the ratio of a λ = 500), the slit thickness c has an effect on diffraction pattern. The missing-order phenomenon can be shown only if the slit thickness c is small enough, and it disappears when the slit thickness c becomes large. In addition, the slit thickness c affects the relative diffraction intensity of the diffraction pattern.

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Loss of coherence in double-slit diffraction experiments

Abstract: The effects of incoherence and decoherence in the double--slit experiment are studied using both optical and quantum--phenomenological models. The results are compared with experimental data obtained with cold neutrons.Comment: 8 pages, 3 figure

Cited by 37 publications

References 23 publications

Quantitative complementarity in two-path interferometry

Quantitative complementarity in two-path interferometry

Diffraction of a partial temporal coherent beam from a single-slit and a circular aperture

Quantum Theory of Electronic Multiple-Slit Diffraction

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