ABSTRACT
Propagation behavior of the sinusoidal traveling waves may be described concisely with the aid of two complex quantities, the propagation function and the characteristic impedance. Each is derivable in terms of the four line parameters and the frequency, a total of five variables. Certain limiting cases such as the lossless line yield much simpler results than the general expressions for the propagation function and the characteristic impedance. These results are helpful reference points from which to survey the multiparameter transmission line. Series expansions prove useful in showing quantitatively the effects caused by small deviations from the respective limiting-case conditions. The derivation of the differential equations for the lossy line closely parallels that for the lossless line, so only the differences will be emphasized here. The real and imaginary parts of the propagation function are called the attenuation function and the phase function, respectively.
