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Numerical experiments on the resonance poles associated to acoustic and elastic scattering by a plane crack.

Alves, Carlos J. S.; Ha-Duong, T

Mathematical and numerical aspects of wave propagation (Editor: Cohen, G.). SIAM., (1995), 544-553

We consider either an acoustic or an elastic wave with complex frequency incident on a plane crack of arbitrary shape in a three-dimensional space. Then we apply the variational boundary equation method to develop a numerical algorithm calculating the resonance poles in the scattering problem. Several tests are made in order to obtain a relation between these poles and the peaks of the scattering cross-section produced by incident waves with real frequencies.