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Article title COMBINED METHOD FOR CALCULATION OF EXCITATION OF CIRCULAR DIELECTRIC CYLINDER WITH A HETEROGENEOUS OBJECT
Authors N.N. Kisel
Section SECTION II. MODELING OF PHYSICAL PROCESSES AND DEVICES
Month, Year 08, 2016 @en
Index UDC 621.396.93
DOI 10.18522/2311-3103-2016-8-4858
Abstract In a number of applied problems of electrodynamics such as defectoscopy and RF imaging appears a necessity for rigorous analysis of electromagnetic fields scattering by inhomogeneous magnetodielectric objects. The results of these studies are used to develop non-destructive testing tools, create new structural materials with desired electrodynamic properties, solve the electromagnetic compatibility issues, and, particularly, study the interaction of electromagnetic waves with biological structures. Besides, in many cases it is necessary to consider the objects of relatively simple form (layered sphere, cylinder), but with a complex internal structure. For example, in microwave studies for medical purposes in order to minimize the parasitic scattering the irradiated model (such as a phantom with real biological tissue parameters) is usually placed in a cylindrical cell with a matching solution. In this paper we solve the model 2-dimensional problem of excitation of a circular cylinder made of a homogeneous dielectric in the inner area of which the inhomogeneous dielectric object exists for the case of H-polarization of the incident field. Solution of 2-dimensional problem of excitation of a circular cylinder made of a homogeneous dielectric with a heterogeneous object in its inner area is reduced to a system of linear algebraic equations for the values of the field in the cross-sectional inclusion. The peculiarity of the algorithm is a combination of rigorous methods of integral equations and their own functions. This approach allows eliminating the homogeneous part or the structure external border integration over the volume, thereby increasing the efficiency of the algorithm. Using Green"s function of unlimited space with the parameters of the host medium can improve the computational efficiency of the method, since the heterogeneous object is an area with non-zero electrodynamic contrast. In the presence of a strong attenuation in the volume of the cylinder homogeneous part, which is typical for biological objects, many of the matrix elements of the linear equations system would be close to zero, which can be taken into account when designing the efficient computational algorithms for tape type matrices. The proposed method can be extended to a three-dimensional model in case when the limiting homogeneous space is a sphere.

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Keywords Electromagnetic field; computation algorithm; cylinder; dielectric; integral equation; ei-genfunctions.
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