Large-scale diffraction patterns from circular objects

Rinard, P.M.

doi:10.1119/1.10142

Cited by 16 publications

(9 citation statements)

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“…This result also follows from our evaluation of EME flow lines (figure 4). Statistics of this lines (see figure 5) agrees very well with the corresponding curve of light intensity behind the circular disc [21,27] determined by taking the square of the field function Ψ(x, y, z), which is given by the Rayleigh-Sommerfeld formula and Babinet's principle [21,28], Ψ(x, y, z) = Ψ 0 e ikz + S e ikr r 1 − 1 ikr cos θdx M dy M ,…”

Section: Eme Flow-line Interpretation Of the Poisson-arago Spotsupporting

confidence: 64%

Trajectory-based interpretation of Young's experiment, the Arago–Fresnel laws and the Poisson–Arago spot for photons and massive particles

Davidović¹,

Sanz²,

Božić³

et al. 2013

Phys. Scr.

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Abstract. We present a trajectory based interpretation for Young's experiment, the Arago-Fresnel laws and the Poisson-Arago spot. This approach is based on the equation of the trajectory associated with the quantum probability current density in the case of massive particles, and the Poynting vector for the electromagnetic field in the case of photons. Both the form and properties of the evaluated photon trajectories are in good agreement with the averaged trajectories of single photons observed recently in Young's experiment by Steinberg's group at the University of Toronto. In the case of the Arago-Fresnel laws for polarized light, the trajectory interpretation presented here differs from those interpretations based on the concept of "which-way" (or "which-slit") information and quantum erasure. More specifically, the observer's information about the slit that photons went through is not relevant to the existence of interference; what is relevant is the form of the electromagnetic energy density and its evolution, which will model consequently the distribution of trajectories and their topology. Finally, we also show that the distributions of end points of a large number of evaluated photon trajectories are in agreement with the distributions measured at the screen behind a circular disc, clearly giving rise to the Poisson-Arago spot.

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Section: Eme Flow-line Interpretation Of the Poisson-arago Spotsupporting

confidence: 64%

Trajectory-based interpretation of Young's experiment, the Arago–Fresnel laws and the Poisson–Arago spot for photons and massive particles

Davidović¹,

Sanz²,

Božić³

et al. 2013

Phys. Scr.

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“…3b, is natural, as the number of pixels that contribute to We recall that maxima confined to the first bin and present in all color channels were observed in the TSE 1999 data [18,19,20]. Probably we observed the socalled "Poisson spot" consisting in a peculiar diffraction phenomenon that is produced when a circular opaque object, with size much smaller than the distance to a screen, but much larger than the light wavelength, is illuminated by a parallel beam [27]. In such conditions, a point-like spot of light could be observed on the screen, in the middle of the shadow of the object.…”

Section: Discussionmentioning

confidence: 96%

Search for possible neutrino radiative decays during the 2001 total solar eclipse

Cecchini¹,

Centomo²,

Giacomelli³

et al. 2004

Astroparticle Physics

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“…First-order effects can be observed using a U.S. penny as a diffraction mask. 5 Our disks ranged from 0.2 to 1.5 mm in radius and the apertures ranged from 0.05 to 0.75 mm in radius. Our light source was a He-Ne laser with an output wavelength of 633 nm and an output power of Ϸ5 mW.…”

Section: Experimental Demonstrationmentioning

confidence: 91%

“…We validate our results by obtaining agreement with a calculation using the Lommel function. 3,5 We then reproduce the first-and second-order Poisson spots based on an experimental setup involving an aperture located entirely within the shadow of an obfuscating disk illuminated by a small source. We observe diffraction effects using a He-Ne laser with a roughly Gaussian intensity profile as an approximation for a point source, 4,5 and a commercially available camera for a detector.…”

Section: Introductionmentioning

confidence: 99%

First- and second-order Poisson spots

Kelly¹,

Shirley²,

Migdall

et al. 2009

American Journal of Physics

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Although Thomas Young is generally given credit for being the first to provide evidence against Newton's corpuscular theory of light, it was Augustin Fresnel who first stated the modern theory of diffraction. We review the history surrounding Fresnel's 1818 paper and the role of the Poisson spot in the associated controversy. We next discuss the boundary-diffraction-wave approach to calculating diffraction effects and show how it can reduce the complexity of calculating diffraction patterns. We briefly discuss a generalization of this approach that reduces the dimensionality of integrals needed to calculate the complete diffraction pattern of any order diffraction effect. We repeat earlier demonstrations of the conventional Poisson spot and discuss an experimental setup for demonstrating an analogous phenomenon that we call a "second-order Poisson spot." Several features of the diffraction pattern can be explained simply by considering the path lengths of singly and doubly bent paths and distinguishing between first-and second-order diffraction effects related to such paths, respectively.

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Large-scale diffraction patterns from circular objects

Cited by 16 publications

References 0 publications

Trajectory-based interpretation of Young's experiment, the Arago–Fresnel laws and the Poisson–Arago spot for photons and massive particles

Trajectory-based interpretation of Young's experiment, the Arago–Fresnel laws and the Poisson–Arago spot for photons and massive particles

Search for possible neutrino radiative decays during the 2001 total solar eclipse

First- and second-order Poisson spots

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