保角变换分析TEM模传输线场和Q值

An analysis of the field and quality factor of irregular TEM transmission line by conformal transformations

本文据以保角变换理论,提出可由已知 TEM 场反演复杂形状 TEM传输线未知场的方法,并给出较为简洁的公式,进而可全面分析传输线系统性能.我们以内圆外矩同轴线为例,通过对内部场结构的分析,对谐振器的重要参数 Q 值进行了分析计算,给出最佳 Q 值取得的条件。最后,用场的方法求解该种同轴线的特性阻抗,并与文献结果比较。

In this paper,by the theorem of conformal transformations,we put forward a simple formula to determine the field inside the irregular coaxial system from the field inside a normal one.Further,the system is analyzed.As an example,the quality factor of a coaxial resonant line having a rectangular outer conductor and a circular inner conductor is calcu- lated on the basis of the analysis of its field,and the optimum dependance of unloaded Q on the line size is found.Finally the characteristic impedance is determined by means of the field method,and a much better result is obtained than those described in the papers available.