Abstract
In this paper, we present the method for determination of effective electromagnetic parameters of complex building materials. By application of the proposed algorithm, it is possible to analyze electromagnetic field distribution for large-scale problems with heterogeneous materials. The two-dimensional numerical model of building components (hollow brick) with periodic boundary conditions was solved using the finite-difference time-domain method (FDTD) and discussed. On this basis, the resultant transmission coefficient was found and then the equivalent relative permeability and electric conductivity of heterogeneous dielectric structures, in the developed homogenization algorithm, were identified. The homogenization of material properties was achieved by performing a multi-variant optimization scheme and finally, selecting optimal electric parameters. Despite the analysis of heterogeneous building materials, the presented algorithm is shown as a tool for the homogenization of complex structures when scattering of a high-frequency electromagnetic field is considered.
Highlights
Wireless networks are common, modern solutions used in telecommunications and data transfer systems and operate in the high-frequency range, e.g., in the microwave range [1,2,3,4,5,6]
The system consisting of the wall made of building materials is analyzed
Assuming the initial conductivity value σFDTD = 0.04 S/m, it was found that for the description of brick with 30 vertical holes (B30) bricks used in a single-layer wall, a value lower by approximately 30% can be taken as effective conductivity, with a simultaneous reduction of the relative permittivity to εr ’,opt = 3.66 S/m
Summary
Modern solutions used in telecommunications and data transfer systems and operate in the high-frequency range, e.g., in the microwave range [1,2,3,4,5,6]. The impact of the electrical parameters and the internal structure of building materials on the field distribution (at frequencies used in wireless networks) were determined. In order to determine the effective electrical parameters of the complex material, an example of a model with four types of walls composed of clinker bricks was used. The calculated transmission is used for the identification equivalent order to determine the influence of thecoefficient drillings on the EM field distribution,ofcalculations permittivity and conductivity of the wall, bychanged comparing the obtained the were performed for the width of homogeneous drillings, which was along the axis value of thewith longest analytical solution of a homogeneous slab.
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