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Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface

Regularities of Nanofocusing of the Electromagnetic Field of a Fractal Rough Surface
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摘要 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. 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.
出处 《Journal of Electromagnetic Analysis and Applications》 2019年第8期117-133,共17页 电磁分析与应用期刊(英文)
关键词 NONSTATIONARY BROADENING of the Spectral Line Fractal Roughness SURFACE Charge SURFACE Current ELECTROMAGNETIC Wave SOLITON-LIKE ELECTROMAGNETIC Pulse Nonstationary Broadening of the Spectral Line Fractal Roughness Surface Charge Surface Current Electromagnetic Wave Soliton-Like Electromagnetic Pulse
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