Solution of Circuits Subjected to Traveling Waves

The major purpose of this paper is to illustrate how accurately the physical assumptions made in applying conventional traveling wave theory are substantiated by test results. Analytical solutions for traveling waves at a transition point, as given in ``Traveling Waves on Transmission Systems,'' A.I.E.E. TRANS., 1931 (L. V. Bewley) are used in this analysis. These derivations involve the solution of circuits that may be used to represent equivalent terminal conditions of transmission systems, when simplifying assumptions are made, and when the free traveling wave can be expressed in exponential form. Discussion of types and specifications of such waves, attenuation and distortion, and the reflection and refraction operators, is limited to that essential for an understanding of the procedure. A method of calculating successive reflections on a short line, and a step-by-step solution involving a variable parameter at a transition point are included.