Acoustic Wave Scattering by Coplanar System of Flat Pre Fractal Impedance Strips Gratings

• Published in: 2019 XXIVth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED) pp. 164 - 167
• Main Authors: Koshovy, G. I., Karpenko, V. I., Reznichenko, N. G.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-09-2019
• Subjects: acoustic wave scattering; Acoustic waves; analytical and asymptotic methods; Electromagnetic scattering; Electromagnetics; Inverse problems; pre-fractals
• ISBN: 9781728123882; 1728123887
• ISSN: 2165-3593
• DOI: 10.1109/DIPED.2019.8882600

The singular integral equation technique and local coordinate system method are used for mathematical modelling of acoustic waves' scattering by multi level coplanar system of flat pre-fractal impedance strip gratings. Main attention is focussed on some types of one-dimensional self similar fractals with variable fractal dimension. It is important to have huge sets of pre-fractals for usage in construction of flat pre-fractal impedance strip gratings. The simplest two level coplanar system of pre-fractal grating is studied in detail. In particular, asymptotic model of the acoustic wave scattering by such weakly filled system, which has explicit solution, is presented.