We consider the determination of the inhomogeneity of the velocity of propagation of waves in a medium, from the data on the field scattered from this inhomogeneity. We present a multistage iteration algorithm for the solution of the problem which is free from limitations of the region of convergence, and can also be used for scattering from strong inhomogeneity for which the scattered field exceeds the incident field. This extension of the region of convergence is achieved by solving only a small fraction of -the scattered field at each stage, and the obtained Intermediate estimates of the inhomogeneity are used in the calculation of the Green function for the following iteration stage. A computer experiment is used to illustrate the results.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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