On the equivalence of the Newton-Kantorovich and distorted Born methods

Authors
Remis, RF van den Berg, PM
Citation
Rf. Remis et Pm. Van Den Berg, On the equivalence of the Newton-Kantorovich and distorted Born methods, INVERSE PR, 16(1), 2000, pp. L1-L4
Citations number
7
Categorie Soggetti
Physics
Journal title
INVERSE PROBLEMS
ISSN journal
02665611 → ACNP
Volume
16
Issue
1
Year of publication
2000
Pages
L1 - L4
Database
ISI
SICI code
0266-5611(200002)16:1<L1:OTEOTN>2.0.ZU;2-S
Abstract
We show that the Newton-Kantorovich and distorted Born methods for the comp utational solution of the nonlinear inverse scattering problem are equivale nt. This was already shown for the discrete matrix case. Here we present an analysis based on the analytic representations of the integral operators. We first briefly review both methods and then show that they are equivalent .