Top Posts Tagged with #acausal solution

Part 1. Green's functions for the Helmholtz (wave equation) operator in various dimensions.

[Click here for a PDF version of this post] My favorite book on mathematical physics derives the Green’s function for the 3D Helmholtz (wave equation) operator. I tried to derive the 2D Green’s function the same way and had trouble. In this series of blog posts, I’ll attempt that again, but will start with the easier 1D and 3D cases. Presuming that I don’t hit any conceptual troubles trying both…

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#acausal solution #boundary value #causal solution #Contour integration #convolution #Fourier transform #Green&039;s function #pole #residue #wave equation

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