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A hybrid method for shape reconstruction of dielectric objects
Author(s) -
Tezel Necmi Serkan
Publication year - 2009
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.24218
Subject(s) - tikhonov regularization , solver , regularization (linguistics) , iterative method , dielectric , microwave , integral equation , computer science , algorithm , field (mathematics) , iterative reconstruction , mathematics , mathematical optimization , mathematical analysis , inverse problem , physics , artificial intelligence , telecommunications , optoelectronics , pure mathematics
A Newton‐based Hybrid method for reconstruction of the shape of dielectric objects through the measured far‐field scattering data is given. The scattered field is represented as a single‐layer potential which leads to an ill‐posed integral equation of the first kind that is solved via Tikhonov regularization. The presented Newton‐based method combines ideas of both the iterative and decomposition methods and inherits the advantages of each of them, such as getting good reconstructions and not requiring a forward solver at each step. The numerical results show that the method yields good reconstruction. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1147–1151, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24218