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, cilt.58, sa.5, ss.1290-1296, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1109/tmtt.2010.2045528
  • Dergi Adı: IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1290-1296
  • Anahtar Kelimeler: Inhomogeneous permittivity reconstruction, inverse problem, Newton method, rectangular waveguide, COMPLEX PERMITTIVITY DETERMINATION, NONDESTRUCTIVE DETERMINATION, BROAD-BAND, TRANSMISSION, RECONSTRUCTION
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.