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Electromagnetic scattering from a non-homogeneous human like body dielectric object in empty space

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2023
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Advisor: Dr. Öğr. Üyesi Ömer Zor

Abstract (EN)

Today, electromagnetic scattering problems have a wide place in the defense industry, medicine and many other fields. General engineering topics based on scattering problems are developed according to the needs of the fields to be used. The solutions of these issues are obtained by using analytical and numerical methods. The exact solution of practical problems cannot be obtained with analytical methods most of the time. For this reason, numerical methods have gained value with the convenience created by the existence of computers. In this thesis, it is aimed to calculate the electric field values scattered from a homogeneous dielectric body in the empty space illuminated by planar waves. However, the applied method can be easily extended to scattering problems from inhomogeneous bodies. The electric field integral equation (EAID) was obtained from Maxwell's equations with the help of dyadic Green's functions under the Lorentz condition. In the obtained electric field integral equation, when the observation point is the same as the source point, there are third-degree singularities (points that are difficult to calculate). In this study, the solution of singularities arising from Green's functions is done by using prime value integrals. The basics of the definition of the prime value integral; It starts with expressing the area where the welding point is located as a very small volume and expressing the integral limits according to this volume. As a result of solving the very small volume with the integral limits, the solution of the prime value integral is reached. As a result of this solution, the solution of the structure formed by the contribution of the relevant volume was obtained by the moment method (MoM). The discretized problem with the moment method has become numerically suitable for solution. The modeled problem creates a system of equations. This system of equations was solved by coding with MATLABTM. In this way, human errors were avoided and the most approximate values were obtained. For the solution, the physical problem is modeled into cubes and the electric field inside each cube is assumed to be constant. Two models were created as the scattering body. These models consist of geometrical structures chosen to be likened to a humanoid body. In the first example, a sphere with a radius smaller than the cylinder was chosen on a cylinder block, and in the second example, a sphere with a diameter equal to the short side of the prism and tangential to the rectangular prism was chosen as the model. While both models have equal body axis lengths, waves were transmitted at frequencies of 100,300,500,700 MHz. The effects of these transmitted waves on dielectric bodies were investigated. In another application, models with different body axis lengths (35,44,50, 55 and 100 centimeters) and the same dielectric constant were created. In these models, waves with the same frequency values are transmitted. In this application, the relationship between the electric field values that will occur while the sampled dielectric body has different volume/axis length values has been observed. In the last application, waves with the same frequency values were transmitted to the objects with the same geometry but different dielectric constant, but different dielectric constant values were applied. In this last application, the ratio between the dielectric constant and the electric field has been observed. As a result of these results obtained; The relationship between electric field-frequency, electric field-dielectric body volume and electric field-dielectric constant was investigated.

Author

Emirhan Demir

How to Cite

Emirhan Demir (Master Thesis). Electromagnetic scattering from a non-homogeneous human like body dielectric object in empty space, 2023, Bursa Technical University.

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