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Leontovich, M.A. (1948) On the Approximate Boundary Conditions for the Electromagnetic Field on the Surface of Well-Conducting Bodies. Radio Wave Propagation Studies. Ed. B.A. Vvedensky, Moscow, Part 2. (In Russian)

has been cited by the following article:

• TITLE: Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface

  AUTHORS: Nikolay N. Grinchik, Galina M. Zayats, Olga V. Boiprav, Kirill V. Dobrego, Volha A. Prykhodzka

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

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.11 No.8, August 29, 2019

  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.