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Variable-permittivity linear inverse problem for the H(sub z)-polarized caseThe H(sub z)-polarized inverse problem has rarely been studied before due to the complicated way in which the unknown permittivity appears in the wave equation. This problem is equivalent to the acoustic inverse problem with variable density. We have recently reported the solution to the nonlinear variable-permittivity H(sub z)-polarized inverse problem using the Born iterative method. Here, the linear inverse problem is solved for permittivity (epsilon) and permeability (mu) using a different approach which is an extension of the basic ideas of diffraction tomography (DT). The key to solving this problem is to utilize frequency diversity to obtain the required independent measurements. The receivers are assumed to be in the far field of the object, and plane wave incidence is also assumed. It is assumed that the scatterer is weak, so that the Born approximation can be used to arrive at a relationship between the measured pressure field and two terms related to the spatial Fourier transform of the two unknowns, epsilon and mu. The term involving permeability corresponds to monopole scattering and that for permittivity to dipole scattering. Measurements at several frequencies are used and a least squares problem is solved to reconstruct epsilon and mu. It is observed that the low spatial frequencies in the spectra of epsilon and mu produce inaccuracies in the results. Hence, a regularization method is devised to remove this problem. Several results are shown. Low contrast objects for which the above analysis holds are used to show that good reconstructions are obtained for both permittivity and permeability after regularization is applied.
Document ID
19940015935
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Moghaddam, M.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Chew, W. C.
(Illinois Univ. Urbana-Champaign., United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1993
Publication Information
Publication: gress In Electromagnetics Research Symposium (PIERS)
Subject Category
Communications And Radar
Accession Number
94N20408
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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