Change in magnetic permeability of inhomogeneous material due to particles with surface impedance
DOI:
https://doi.org/10.15407/fmmit2024.39.084Keywords:
Неоднорідний матеріал, мікровключення, імпедансні граничні умови, асимптотичний метод, магнітна проникністьAbstract
We use an analytical-numerical method to solve the problem of scattering on a set of randomly
placed particles in a homogeneous material. Assuming the smallness of the particles, we can go
with the asymptotic method for solving the scattering problem. The analytical part of the solution
consists in obtaining a system of linear algebraic equations (SLAE) with respect to the values of
an unknown auxiliary function. The numerical solution of this SLAE makes it possible to determine
the solution of the initial diffraction problem, as well as to derive an explicit formula for the
magnetic permeability of the obtained inhomogeneous material. Numerical data indicate the
opportunity of obtaining a more contrasting magnetic permeability distribution, compared to the
regular arrangement of embedded particles.
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