Natural Light Diffraction on Endless Grating of Metal Strips

Authors A.V. Bezougly1, O.M. Petchenko1 , G.O. Petchenko1, G.Y. Dulfan1, A.V. Poyda2

1O.M. Beketov Kharkiv National University of Urban Economy, 17, Marshal Bazhanov Str., 61002 Kharkiv, Ukraine

2National Science Center Kharkov Institute of Physics and Technology of the NASU, 1, Academichna Str., 61108 Kharkiv, Ukraine

Issue Volume 15, Year 2023, Number 2
Dates Received 18 January 2023; revised manuscript received 18 April 2023; published online 27 April 2023
Citation A.V. Bezougly, O.M. Petchenko, G.O. Petchenko, et al., J. Nano- Electron. Phys. 15 No 2, 02029 (2023)
PACS Number(s) 42.25.Fx
Keywords Diffraction (21) , Grating, Quantum (43) , psi-function, Diffraction pattern, Phonon (9) .

In this paper, the problem of diffraction of natural light on a grating of infinite periodic sequence of infinitely thin metal strips is solved. A quantum approach was applied to its solution. The solution of the diffraction problem of a natural, unpolarized wave is based on the results obtained separately for the cases of diffraction of H- and E-polarized photons, solved by the strict method of the Riemann-Hilbert boundary value problem. The work is devoted to the calculation of the density of the probability of finding an H- or E-polarized photon at a given point in space for the case when the photon flow falling on the grating is a mixture of equal densities of H- and E-polarized photons. Since the diffraction pattern repeats with the grating period l, the paper presents the results of calculations of the probability density |Ψ|2 depending on the y coordinate for one period within the limits of the change of y/l from zero to one. From the comparison of graphs |Ψ|2 for H- and E- of polarized photons and their superposition, the relationship between the number of maxima in the diffraction pattern of natural light and the ratio of the grating period to the photon wavelength is established. As it turned out, the number of maxima increases proportionally to the specified ratio. At the same time, the main masses are located against the gaps. For unpolarized, natural light, the diffraction pattern is qualitatively similar to the corresponding pattern for H-polarized photons, but differs in the height of the maxima

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