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Cagniard–De Hoop method

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The Cagniard-DeHoop method is a sophisticated mathematical tool for solving a large class of wave and diffusive problems in horizontally layered media. The method is based on the combination of a unilateral Laplace transformation with real and positive transform parameter and the slowness field representation.

References:
1. De Hoop, A. T. "A modification of Cagniard's method for solving seismic pulse problems". Applied Scientific Research, B8 (1960): 349-356.
http://www.springerlink.com/content/vh17pg5k21784262/