Radio Science

Telegrapher equations for arbitrary frequencies and modes: Radiation of an infinite, lossless transmission line



[1] Maxwell's equations for an infinite, lossless transmission line above a perfectly conducting ground are transformed into telegrapher equations with new generalized per-unit-length parameters of the conductor. These new line parameters are complex-valued, frequency-dependent, and contain the radiation resistance. Their explicit expressions depend on the chosen gauge, but there is also a gauge-independent representation for them. In the quasi-static approach of the Maxwell-Telegrapher equations the line parameters become real-valued, and radiation is absent. A Poynting vector analysis leads to a deeper physical understanding and interpretation of the new parameters.