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在求解导体面与线天线连接问题中,使用细金属带来模拟细金属导线,把线-面连接问题转换为面-面连接问题,当场点与源点相距很近甚至重合时,阻抗矩阵元素的计算会出现奇异性,推导了一种奇异项解析求解的计算方法。该方法通过坐标轴的平移和旋转,将问题由三维直角坐标系转换到二维极坐标系,解析计算出中间结果后,再通过坐标变换得到原问题中的结果。数值结果表明了改进方法的精确性和有效性。
In solving the problem of connecting the conductor surface with the wire antenna, the fine metal wire is used to simulate a thin metal wire, which converts the wire-surface connection problem into a surface-to-surface connection problem. When the spot point is close to or even coincident with the source point, The singularity of the calculation will appear, and a method of calculating the singular term is derived. The method translates the problem from the three-dimensional rectangular coordinate system to the two-dimensional polar coordinate system through the translation and rotation of the coordinate axis. After the intermediate result is analyzed and calculated, the result of the original problem is obtained through coordinate transformation. The numerical results show the accuracy and effectiveness of the improved method.