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Theory and Circuit Model for Lossy Coaxial Transmission Line

Genoni, T.C.; Anderson, C.N.; Clark, R.E.; Gansz-Torres, J.G.; Rose, D.V.; Welch, Dale R.

The theory of signal propagation in lossy coaxial transmission lines is revisited and new approximate analytic formulas for the line impedance and attenuation are derived. The accuracy of these formulas from DC to 100 GHz is demonstrated by comparison to numerical solutions of the exact field equations. Based on this analysis, a new circuit model is described which accurately reproduces the line response over the entire frequency range. Circuit model calculations are in excellent agreement with the numerical and analytic results, and with finite-difference-time-domain simulations which resolve the skindepths of the conducting walls.