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Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface
A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, Minsk, Belarus
Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus
Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus
Belarusian National Technical University, Minsk, Belarus
Belarusian State University, Minsk, Belarus
- 1 A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, Minsk, Belarus
- 2 Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus
- 3 Belarusian State University of Informatics and Radioelectronics, Minsk, Belarus
- 4 Belarusian National Technical University, Minsk, Belarus
- 5 Belarusian State University, Minsk, Belarus
Journal of Electromagnetic Analysis and Applications·Volume 11 (2019)·Pages 117–133·Published 29 August 2019·DOI10.4236/jemaa.2019.118008
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Abstract
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.
KeywordsNonstationary Broadening of the Spectral LineFractal RoughnessSurface ChargeSurface CurrentElectromagnetic WaveSoliton-Like Electromagnetic Pulse
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