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An inverse scattering method for a 1-D dissipative Helmholtz equation

Jeffrey O. Powell

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 5, 473-488

Abstract: In this numerical method for simultaneous reconstruction of permittivity and conductivity in the one-dimensional inverse problem for the Helmholtz equation, a system of Riccati equations with trace formulae is derived, then used to propagate reflection and transmission data into the interior of an interval to obtain inhomogeneous material profiles. Numerical results are examined.

Keywords: Inverse scattering; Trace formulae; Dissipative; Helmholtz equation (search for similar items in EconPapers)
Date: 1999
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