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Neural network approach to determine nonsmooth one‐dimensional profiles in inverse scattering theory
Author(s) -
Yaman Fatih,
Simçsek Serkan
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22958
Subject(s) - inverse scattering problem , lossy compression , inverse , integral equation , microwave , artificial neural network , inverse problem , nonlinear system , mathematics , electrical impedance , scattering , mathematical analysis , computer science , algorithm , mathematical optimization , physics , optics , telecommunications , geometry , artificial intelligence , quantum mechanics
In this article, we present a new hybrid method to reconstruct one‐dimensional lossy profile in order to get effective and stable solutions that can be used for both acoustic and electromagnetic cases. Unlike classical integral equation methods for the solution of the inverse medium problems, the neural network approach is applied to avoid the nonlinear and ill‐posed nature of the integral equation of the first kind. The applicability and the effectiveness of the method is tested by selecting an inverse problem, namely, to determine nonsmooth one‐dimensional profile of an inhomogeneous layer located over an inhomogeneous impedance ground. To reveal the advantage and the accuracy of the method, noisy data and rectangular/triangular types of non‐smooth profiles are used. Good agreement with exact profiles has been observed. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 3158–3162, 2007; Published online in Wiley InterScience (www.interscience.wiley.com).DOI 10.1002/mop.22958