A Comparision Among Some Local Approximation in One-Dimensional Profile Reconstruction

A Comparision among Some Local Approximation in One-Dimensional Profile Reconstruction

“…It may be shown that if the system converges, it solves the original minimization problem with the final solution independent of the starting values, provided the minimum is unique. However in the present work we have adopted a modified iterative scheme [37,20] which is as follows: Suppose we have the k th iterate; then we define the vector…”

“…The second part deals with the reconstruction of the slab conductivity profiles from noise contaminated synthetic data using the localized approximations and the modifications. We have adopted Occam's method [37,20] in our inversion for its robustness and versatility. It is a least-squares method that produces the "smoothest" model based on minimizing the integral of the squares of the first or second derivative of the complex conductivity profile with respect to the slab axis.…”