Are there any photons in the dark fringes of double slit experiment?

A. Rahmani Nejad; P. Rahmani Nejad

doi:10.1117/12.2565899

21 August 2020 Are there any photons in the dark fringes of double slit experiment?

A. Rahmani Nejad, P. Rahmani Nejad

Proceedings Volume 11481, Light in Nature VIII; 114810A (2020) https://doi.org/10.1117/12.2565899
Event: SPIE Optical Engineering + Applications, 2020, Online Only

Abstract

We know that bright fringes on the observation-screen is the Fourier transform of light intensity that passes through diffraction slit (aperture) and we know according to Parseval and Rayleigh Theorems the power or energy of a function before and after Fourier transform is not changed that means the total intensity of light emerging slits is equal to the total intensity of bright fringes on the observation screen, but on the other hand according to destructive and constructive interference of light, some portions of the light passing through the slits destructively interfere to constitute dark fringes which means the total light intensity of fringes should be less than the total intensity passing through the slit. This is a violation of the Fourier transform. On the other hand, this paper is augmented by some very new experiments which show there are no photons in the dark fringes. A diffraction experiment by sticking narrow and small width mirrors on the dark fringes that according to the classical interpretation after destructive interference on the dark fringes should be reflected and could be found by sensors at other directions (specially reflection angle) and another experiment that by making a 1mm hole in the middle of the first dark fringe, we expect that photons can be detected by the light detector after destructive interference (passing through one another) behind the observation plan but no photon is detected. Finally, this paper provides a complete physical model associated with mathematical analysis and formulation that is based on the Schrödinger equation. This model answers to single Photon (electron) double-slit experiment with a high degree of accuracy.

Conference Presentation

Citation Download Citation

A. Rahmani Nejad and P. Rahmani Nejad "Are there any photons in the dark fringes of double slit experiment?", Proc. SPIE 11481, Light in Nature VIII, 114810A (21 August 2020); https://doi.org/10.1117/12.2565899

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