This book offers a simultaneous presentation of the theoryand numerical treatment of inverse problems for Maxwell's equations.Inverse problems are central to many areas of science and technologysuch as geophysical exploration, remote sensing, near-surfaceradar-location, dielectric logging, medical imaging, etc.
The basic idea of inverse methods is to extract from the evaluation ofmeasured electromagnetic fields the details of the medium considered.The inverse problems are investigated not only for Maxwell's equationsbut also for their quasistationary approximation and in the case ofharmonic dependence in time. Starting with the simplest one-dimensionalinverse problems, the book leads its readers to more complicatedmultidimensional ones studied for media of various kinds. The uniquesolvability of a number of the considered problems is shown as well asthe stability of their solutions.
The numerical analysis ranges from the finite-difference schemeinversion to the linearization method and to a dynamic variant of theGel'fand--Levitan method.
Much of the material discussed in this book has never appeared in bookform before. The book will be of value and interest to researchers inthe fields of applied mathematics and geophysics. The applications inthe book will be of value to experimentalists and engineers.
1994; viii+250 pages
ISBN 90-6764-172-3
Price: EUR 147/US$ 198
