3-D Imaging of Inhomogeneous Materials Loaded in a Rectangular Waveguide


Kilic E., AKLEMAN F., Esen B., OZALTIN D. M. , OZDEMIR Ö. , Yapar A.

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, vol.58, no.5, pp.1290-1296, 2010 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 5
  • Publication Date: 2010
  • Doi Number: 10.1109/tmtt.2010.2045528
  • Title of Journal : IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
  • Page Numbers: pp.1290-1296

Abstract

A Newton-type method for the reconstruction of inhomogeneous 3-D complex permittivity variation of arbitrary shaped materials loaded in a rectangular waveguide is presented. The problem is first formulated as a system of integral equations consist of the well-known data and object equations, which contain the dyadic Green's function of an empty rectangular waveguide. Two unknowns of this system are solved in an iterative fashion by linearizing one of them, i.e., the data equation in the sense of the Newton method, which corresponds to a first-order Taylor expansion of the related integral operator. Since the problem is severely ill posed by nature, a regularization in the sense of Tikhonov is applied to the data equation. A detailed numerical implementation of the method, together with some numerical examples are also given to show the capabilities and validation limits of the method.