Computation of the impedances of nonuniform lines by a direct method

The impedances of nonuniform or tapered lines are computed directly by solving a first-order nonlinear differential equation of the Riccati type. Special cases which include the uniform line, the exponential line, the Bessel line, and the Heaviside-Bessel line are discussed. A general reversion method for solving the nonlinear differential equation for the line impedance is discussed.