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Unformatted text preview: Franklin, ch. 13.3 7.2.1 Def. Green function Green function satisfies and boundary condition: for Then a solution to only outgoing waves for the same boundary conditions is given by Lecture Notes Page 2 The general solution , including in and outgoing waves is solution of in & outgoing waves 7.2.2 Construction of Green function via Fourier Transform Then with implicitly defined via Fourier transform results in Therefore and Looks easy enough, but: Integrand has poles at Lecture Notes Page 3 7.2.3 Evaluation of Green function integral Evaluate via Residue Theorem Embedding into complex parameter space: retarded G. funct. advanced G.funct. all paths possible and valid, but leading to different structure of boundary conditionsdifferent Green functionshomogeneous wave equation! => differ only by solutions of Lecture Notes Page 4...
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 Winter '09
 NorbertLutkenhaus
 Charge, Current, Boundary value problem, Fundamental physics concepts, Green's function

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