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Calculation of quantum characteristics based on the classical solution of the diffraction problem in a resonator with a dielectric plate
S.I. Kharitonov 1,2, N.L. Kazanskiy 1,2, S.G. Volotovsky 1, S.N. Khonina 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151;
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 974 kB

DOI: 10.18287/2412-6179-CO-1174

Pages: 741-751.

Full text of article: Russian language.

Abstract:
The work is devoted to the development of the quantum theory of diffractive optical elements. Aspects of quantum optics are considered by the example of light diffraction from a dielectric plate in a resonator. The paper shows the connection between the classical and quantum solution of the problem of diffraction by a dielectric plate. Expressions are obtained for the eigenmodes of such a resonator, as well as for the operators of the vector magnetic potential and the electric field strength. The method proposed in this paper can be easily extended to dielectric plates with a diffractive microrelief, that is, to diffractive optical elements.

Keywords:
modes of a resonator with a dielectric plate, field quantization, field quantum characteristics.

Citation:
Kharitonov SI, Kazanskiy NL, Volotovskiy SG, Khonina SN. Calculation of quantum characteristics based on the classical solution of the diffraction problem in a resonator with a di-electric plate. Computer Optics 2022; 46(5): 741-751. DOI: 10.18287/2412-6179-CO-1174.

Acknowledgements:
This work was financially supported by the RF Ministry of Science and Higher Education within the state project of the FSRC "Crystallography and Photonics RAS" (agreement No. 007-GZ/Ch3363/26) in part of analyzing the light diffraction in a resonator with a dielectric plate, and within the framework of the Development Program of Samara University for 2021–2030 within the framework of the "Priority-2030" program with the support of the Government of the Samara Region in part of developing a quantum theory of diffractive optical elements.

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