Semi-Analytic Time-Domain Solutions To Wave-Scattering Problems
Scattered waves are constructed in the time domain by explicitly evaluating the inverse Laplace transform integral as a summation of complex residues. The method is applied to two problems: a bead on a semi-infinite string and acoustic scattering by a sphere. In the first problem, the end of an infinitely long string is oscillated in a specified way. The incident wave is scattered by a bead of negligible width and specified mass, some given distance from the end of the string. The initial boundary value problem for the total wave is solved in the frequency domain. The corresponding time-domain ...
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