MATHEMATICAL MODELS OF THE PLANE SONIC WAVE SCATTERING BY PRE-FRACTAL FLAT IMPEDANCE STRIPS SYSTEM

摘要

Mathematical models of the plane sonic wave scattering by flat pre-fractal impedance strip grating are suggested and studied. The scattering problem is formulated in the classically strong form on the base of the well known integral equation method. Full-wave mathematical models of the plane sonic waves' scattering by single flat impedance strip and their flat system are suggested. The main attention is focused on correct models in the form of the first-kind singular integral equation with strong singularity and asymptotic narrow strip models. The problem of the plane sonic wave scattering by a single flat impedance strip is studied in detail. The modification of the singular integral equation method is easily generalized for any flat pre-fractal impedance strip grating.