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Inverse scattering solutions of scalar Helmholtz wave equation by a multiple source moment method

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3 Author(s)
Johnson, S.A. ; University of Utah, Department of Bioengineering, Salt Lake City, USA ; Yoon Tae-Hoon, ; Ra Jung-Woong,

Determining the spatial scattering function, i.e. solving the inverse scattering problem, with the Helmholtz wave equation model is known to be an ill posed problem for a single incident radiation field. We show that the problem becomes well posed if formulated as seeking the common scattering function which produces a best prediction of the given scattering data for sufficiently many sources and receivers. The scattering function is found by solution of a system of non-linear algebraic equations which are derived by the method of moments. Our method avoids perturbation theory approximations.

Published in:

Electronics Letters  (Volume:19 ,  Issue: 4 )