ELEG 3704 Lecture Notes - Lecture 5: Propagation Constant, Wavenumber
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Lec 5 9-6-16 ch 2 transmission line equations / Recap and continuing on voltage and current at any point. Where a, b, c, and d are all constants to be obtained using boundary conditions. Comparing each term of the final current and voltage equations gives is. The solutions of the two second order differential equations are given as. A can be denoted as where the + sign signifies positive z direction. C and d can be written respectively as and. Can now be written as is also a complex number given as. A, b, c, and d are also complex numbers. Here the first term gives a wave that is traveling in the positive z direction since the coefficients of t and z have opposite signs. A is the amplitude of the +z traveling wave. B is the amplitude of the -z traveling wave. B can be denoted as where the - sign signifies negative z direction.