A Generalization of the Cagniard Method
Abstract
The Cagniard method for obtaining the inverse Laplace transform of integrals, used when solving wavepropagation problems by generalized rays, was meant originally for simple cases of pointsources with a stepfunction timedependence and simple structures. Gradually, the method was extended to more complex sources and structures but in many cases the solution involved expressions requiring convolutions. The extension presented here enables one to obtain the timedependent solution for various complex cases in a form similar to that for simple cases, i.e., in terms of simple integrals, without convolutions. Several examples are given: a strikeslip pointsource with linear timedependence, a dipslip pointsource with linear timedependence, and a strikeslip pointsource with quadratic timedependence.
 Publication:

Journal of Computational Physics
 Pub Date:
 December 1978
 DOI:
 10.1016/00219991(78)901377
 Bibcode:
 1978JCoPh..29..328A