Article | REF: D1322 V1

Elements of Transmission Line Theory

Author: Bernard DÉMOULIN

Publication date: February 10, 2014, Review date: April 26, 2021

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2. Wave equation and presentation of solutions

Following on from the previous paragraph, the second deals with other fundamental questions concerning the operation of transmission lines. We'll set up the telegrapher's equation, whose formulation leads naturally to the wave equation. Solving the wave equation will shed light on the role of the source and the load at both ends of the line. We'll also look at the strategic value of the complex formulation of the equations and solutions. Finally, the analysis will turn to the line's secondary parameters, as well as the concepts of progressive and retrograde waves.

2.1 Telegrapher's equation

First, we'll look at a demonstration that allows us to move from the concept of localized circuits to distributed circuits, leading directly to a pair of partial differential...

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Wave equation and presentation of solutions