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