A hybrid method for shape reconstruction of dielectric objects

Abstract

AbstractA 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