Inverse scattering solutions of scalar Helmholtz wave equation by a multiple source moment method
- 17 February 1983
- journal article
- Published by Institution of Engineering and Technology (IET) in Electronics Letters
- Vol. 19 (4) , 130-132
- https://doi.org/10.1049/el:19830092
Abstract
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.Keywords
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- Application of Moment-Methods to Electromagnetic Biological ImagingPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005