A homomorphic filtering method for imaging strongly scattering penetrable objects

Author

Morris, John B. ; Lin, Freeman C. ; Pommet, Drew A. ; McGahan, Robert V. ; Fiddy, Michael A.

Author_Institution

Rome Lab., Hanscom AFB, MA, USA

Volume

43

Issue

10

fYear

1995

fDate

10/1/1995 12:00:00 AM

Firstpage

1029

Lastpage

1035

Abstract

This paper describes a new method for determining the structure of strongly scattering penetrable objects having permittivity fluctuations with scales comparable to the illuminating wavelength. We are concerned with the case when small wavelength or weakly scattering approximations, such as the Born or distorted wave Born approximations, or slowly varying approximations such as the Rytov approximation, are not valid. The problem is formulated as one of recovering, in principle, a quantitative image of the object´s permittivity distribution function from a set of perturbed images. Each perturbed image is obtained by backpropagating the scattered field measured around the object for different illumination directions. These backpropagated images are filtered in the differential cepstral domain to recover the object permittivity distribution, and we show reconstructions from both simulated and real microwave scattered data

Keywords

backpropagation; cepstral analysis; electromagnetic fields; electromagnetic wave scattering; filtering theory; image reconstruction; inverse problems; microwave imaging; permittivity; Born approximations; Rytov approximation; backpropagated images; differential cepstral domain; distorted wave Born approximations; homomorphic filtering method; illuminating wavelength; image reconstruction; image recovery; inverse scattering; microwave imaging; microwave scattered data; permittivity distribution function; permittivity fluctuations; perturbed images; scattered field; slowly varying approximations; small wavelength; strongly scattering penetrable objects; weakly scattering approximations; Approximation methods; Cepstral analysis; Distribution functions; Filtering; Fluctuations; Image reconstruction; Lighting; Microwave filters; Permittivity measurement; Scattering;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.467638

Filename

467638