Author(s)

Nikolay N. Grinchik¹, Galina M. Zayats², Olga V. Boiprav³, Kirill V. Dobrego⁴, Volha A. Prykhodzka⁵

¹A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, Minsk, Belarus.
²Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus.
³Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus.
⁴Belarusian National Technical University, Minsk, Belarus.
⁵Belarusian State University, Minsk, Belarus.

A consistent physical and mathematical model of the propagation of electromagnetic waves in an inhomogeneous medium with strong discontinuities of the electromagnetic field at the interface of two media, which is a rough surface, was developed. Mathematical modeling of rough surfaces and their profiles was carried out using fractal geometry, which allows us to display the topology of the object as close as possible to reality. For real heterogeneous rough structures, we have developed a through-counting method that takes into account the continuity of the total current at the interfaces of adjacent media, the effect of induced surface charge and surface current. This approach lets one avoid the necessity to set surface impedances depending on the structure of the field being determined and on the material properties.

Nonstationary Broadening of the Spectral Line, Fractal Roughness, Surface Charge, Surface Current, Electromagnetic Wave, Soliton-Like Electromagnetic Pulse

Grinchik, N. , Zayats, G. , Boiprav, O. , Dobrego, K. and Prykhodzka, V. (2019) Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface. Journal of Electromagnetic Analysis and Applications, 11, 117-133. doi: 10.4236/jemaa.2019.118008.