研究目的
To develop the numerical method of moments for solving an integral equation that describes the distribution of the charge along a thin finite-length antenna wire in an anisotropic medium in the quasistatic approximation and to analyze the influence of the ratio between the elements of the dielectric permittivity tensor and the method of partitioning of the antenna surface on the calculation accuracy.
研究成果
The method of moments is effective for calculating the electrodynamic characteristics of quasistatic antennas in anisotropic media, even when the kernel of the integral equation has a singularity related to the resonance cone. The accuracy of the method improves with the number of segments and the ratio of the dielectric permittivity tensor elements. The impedance calculation error is about 1% when the wire is divided into ten segments.
研究不足
The method's accuracy is limited near the ends of the wire where the charge density varies rapidly. The condition number of the matrix can increase significantly with a large number of segments, making the system ill-posed.
1：Experimental Design and Method Selection:
The method of moments is employed to solve the integral equation for the charge distribution along a thin finite-length antenna wire in an anisotropic medium. The theoretical model involves the Green's function of the hyperbolic equation.
2：Sample Selection and Data Sources:
The study focuses on a thin finite-length circular cylinder aligned with the anisotropy axis of the external medium.
3：List of Experimental Equipment and Materials:
The calculations were performed for specific parameters: Φ0 = 1 V, a = 1 mm, and f = 100 kHz.
4：Experimental Procedures and Operational Workflow:
The antenna wire is divided into segments, and the method of moments is applied to solve the integral equation numerically. The influence of the partitioning method and the ratio of dielectric permittivity tensor elements on accuracy is analyzed.
5：Data Analysis Methods:
The accuracy of the method is evaluated by comparing the calculated impedance with theoretical values and analyzing the distribution of the charge along the wire.
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