A quantum-mathematical model to state single photon (electron) double slit experiment, Fraunhofer and Fresnel diffractions

Akbar Rahmani Nejad

doi:10.1117/12.753704

26 November 2007 A quantum-mathematical model to state single photon (electron) double slit experiment, Fraunhofer and Fresnel diffractions

Akbar Rahmani Nejad

Author Affiliations +

Proceedings Volume 6827, Quantum Optics, Optical Data Storage, and Advanced Microlithography; 68270J (2007) https://doi.org/10.1117/12.753704
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

This paper provides a complete physical model associated with mathematical analysis and formulation that is based on Schrödinger equation and Feynman path integral. This model answers to single Photon (electron) double slit experiment with high degree of accuracy. It also gives a new method of analysis and formulation for Fresnel and Fraunhofer diffractions that are completely according to the Schrödinger equation and Feynman path concept. The results of these methods are precisely in agreement with the near field and far field diffraction experiments. In other words the new formulation in all above mentioned phenomena i.e. single photon (electron) double slit experiment, Fresnel and Fraunhofer diffractions are completely confirmed by lab experiments(measurements). Lab experiments mean common intensity and pattern experiments resulting from Fresnel (near field) diffraction, Fraunhofer (far field) diffraction and patterns resulting in single photon (electron) lab experiment. The resultant formulas are sketched and calculated by matlab program, the resultant graphs and values are compared with lab experiments in each section. This analysis substitutes wave function and probability density function concepts instead of interference of light beams emitted from infinitesimal pinholes or classical interpretation of near field diffraction and far field diffraction phenomena. The ultimate goal of this paper is to give a very accurate answer to the single particle double slit experiment and also to unify diffraction concept of classical optics in to quantum mechanics, deleting the traditional concept of phases in classical optics and substituting the concept of deflection of Feynman paths. The above mentioned analysis may be a glad tiding to a reliable method to unify classical optics in to quantum mechanics.

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Akbar Rahmani Nejad "A quantum-mathematical model to state single photon (electron) double slit experiment, Fraunhofer and Fresnel diffractions", Proc. SPIE 6827, Quantum Optics, Optical Data Storage, and Advanced Microlithography, 68270J (26 November 2007); https://doi.org/10.1117/12.753704

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KEYWORDS

Diffraction

Particles

Single photon

Near field diffraction

Far-field diffraction

Quantum mechanics

Geometrical optics

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