TEM MODE ANALYSIS OF PARALLEL CYLINDERS OF UNEQUAL RADII USING CONFORMAL-TRANSFORMATION

A method of analysing transmission lines represented by parallel cylin ders of unequal radii supporting the TEM mode is to transform them to parallel plate and coaxial configurations. The cotangent-hyperbolic tr ansformation transforms the line to a parallel plate structure. A bili near transformation expressed in terms of mutually inverse points tran sforms the same line to a coaxial configuration. The general formula f or the capacitance per unit length of parallel cylinders with unequal radii leads to an exact expression for the particular case of the line consisting of parallel cylinders of equal radii. Numerical data on ca pacitance and charge distribution are presented.