Modeling of narrow beams of electromagnetic waves with axial symmetry on a plane
https://doi.org/10.29235/1561-8323-2023-67-1-7-13
Abstract
A mathematical model of narrow beams of monochromatic electromagnetic waves propagating in vacuum is developed. Beams of electromagnetic waves are constructed with the order of axial symmetry m m( 0,1, 2, ), = K characterized by the beam localization radius Rпуч, the beam narrowness parameter n n( 2), ≥ and the beam attenuation coefficient N N( 2). ≥ The structure of the electric field for a TE-polarized wave beam is studied numerically.
About the Authors
V. T. Erofeenko
Belarusian State University
Belarus
Belarus
Erofeenko Viktor T. – D. Sc. (Physics and Mathematics), Professor, Chief Researcher. Research Institute for Applied Problems of Mathematics and Informatics
4, Nezavisimosti Ave., 220030, Minsk
I. S. Kozlovskaja
Belarusian State University
Belarus
Belarus
Kozlovskaja Inessa S. – Ph. D. (Physics and Mathematics), Associate Professor
4, Nezavisimosti Ave., 220030, Minsk
References
1. Goncharenko A. M. Optical Gaussian beams and solitons. Minsk, Belorusskaya nauka Publ., 2011. 126 p. (in Russian).
2. Erofeenko V. T., Bondarenko V. F. Transformation of beams of electromagnetic waves passing through a chiral metamaterial screen. Informatika [Informatics], 2013, no. 1, pp. 5–17 (in Russian).
3. Kukharchik P. D., Serdyuk V. M., Titovitskii I. A. Total Internal Reflection of a Gaussian Light Beam. Technical Physics, 1999, vol. 44, no. 4, pp. 417–421. https://doi.org/10.1134/1.1259312
4. Kazak L. A., Tolstik A. L. The formation, superposition, and stability of different-order vortex optical beams. Vestnik BGU. Seriya 1. Fizika, Matematika, Informatika [Vestnik BSU. Series 1. Physics. Mathematics. Informatics], 2010, no. 2, pp. 3–7 (in Russian).
5. Panov V. P., Prikhodko V. V. On the propagation of wave beams in media with isotropic complex permittivity. Journal of Communications Technology and Electronics, 2007, vol. 52, no. 6, pp. 617–625. https://doi.org/10.1134/s1064226907060022
6. Erofeenko V. T. Boundary value problem of the diffraction of beams of electromagnetic waves on the flat screen made of biisotropic materials. Vestsі Natsyianal’nai akademіі navuk Belarusі. Seryia fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series, 2012, no. 4, pp. 72–79 (in Russian).
7. Erofeenko V. T., Urbanovich A. I. Solution of the problems of shielding of the beams of electromagnetic waves by means of plane magnetodielectrical screen. Trudy XXIX Mezhdunarodnoi konferentsii “Radiatsionnaya fizika tverdogo tela”, Sevastopol’, 8–13 iyulya 2019 g. [Works of the XXIX International Conference “Radiative physics of the rigid body”, Sevastopol, 08–13 July 2019]. Moscow, 2019, pp. 352–362 (in Russian).
8. Erofeenko V. T., Kozlovskaya I. S. Analytical Modeling in Electrodynamics. Minsk, Belarusian State University, 2010. 303 p. (in Russian).
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