Abstract
The problem of the plane (electromagnetic or acoustic) wave scattering by a multi level not classical coplanar system of flat impedance strips is analyzed on the base of the singular integral equation method. Considerable attention is focussed on some types of terrible “Devil stairs” functions, corresponding to some self similar fractals with a variable fractal dimension. It is important to have a lot of not classical sets for usage in construction of the coplanar system of impedance strips. The stages of the “Devil stairs” function constructive procedure can be useful for modelling of natural specific irregular zones in regular two-dimensional space. A partial (but important for applications) case of sparsely filled coplanar strip system is analyzed. In this case, the plane wave scattering problems have explicit asymptotical solutions in the closed analytical form.
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