Quantum analysis on the Talbot effect of two-dimensional grating

Gaokun Huang; Xing Xu; Sumei Zhou

doi:10.1117/12.2500733

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7 November 2018 Quantum analysis on the Talbot effect of two-dimensional grating

Gaokun Huang, Xing Xu, Sumei Zhou

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Proceedings Volume 10818, Holography, Diffractive Optics, and Applications VIII; 1081816 (2018) https://doi.org/10.1117/12.2500733
Event: SPIE/COS Photonics Asia, 2018, Beijing, China

Abstract

In this paper, we discuss some light diffraction phenomena with a simple quantum theory. Firstly, the wave function of the free particle in quantum mechanics is used to explain Fraunhofer diffraction of the light at a rectangular aperture, and the result is consistent with the Huygens-Fresnel principle. Secondly, probabilistic wave method is used to analyze the Talbot effect of a two-dimensional grating. The results show that the photons at the Talbot distance and incident photons are described by the same probability wave. Finally, Talbot effect is used to measure the wavelength of incident light.

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Gaokun Huang, Xing Xu, and Sumei Zhou "Quantum analysis on the Talbot effect of two-dimensional grating ", Proc. SPIE 10818, Holography, Diffractive Optics, and Applications VIII, 1081816 (7 November 2018); https://doi.org/10.1117/12.2500733

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