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math-ph2015★ 9 cited
Solution of the inverse scattering problem by T-matrix completion. II. Simulations
Howard W. Levinson, Vadim A. Markel
This is Part II of the paper series on data-compatible T-matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series contains theory a…
math-ph2014★ 14 cited
Nonlinear inverse problem by T-matrix completion. I. Theory
Howard W. Levinson, Vadim A. Markel
We propose a conceptually new method for solving nonlinear inverse scattering problems (ISPs) such as are commonly encountered in tomographic ultrasound imaging, seismology and oth…