The factorization method is a relatively new method for solving
certain types of inverse scattering problems and problems in
tomography. Aimed at students and researchers in Applied
Mathematics, Physics and Engineering, this text introduces the
reader to this promising approach for solving important classes of
inverse problems. The wide applicability of this method is
discussed by choosing typical examples, such as inverse scattering
problems for the scalar Helmholtz equation, a scattering problem
for Maxwell's equation, and a problem in impedance and optical
tomography. The last section of the book compares the Factorization
Method to established sampling methods (the Linear Sampling Method,
the Singular Source Method, and the Probe Method).
General
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