Higher order (nonlinear) diffraction tomography: inversion of the Rytov series

Author

Tsihrintzis, George A. ; Devaney, Anthony J.

Author_Institution

Dept. of Inf., Piraeus Univ., Greece

Volume

46

Issue

5

fYear

2000

fDate

8/1/2000 12:00:00 AM

Firstpage

1748

Lastpage

1761

Abstract

Nonlinear tomographic reconstruction algorithms are developed for inversion of data measured in scattering experiments in which the complex phase of the wavefields is modeled by an arbitrarily large (possibly infinite) number of terms in the Rytov series. The algorithms attain the form of a Volterra series of nonlinear operators, with the usual filtered backpropagation algorithm of diffraction tomography as the leading linear term. A computer simulation study is included to illustrate the performance of the algorithms for the case of scattering objects with cylindrical symmetry

Keywords

Volterra series; backpropagation; computerised tomography; diffraction; image reconstruction; inverse problems; scattering; series (mathematics); Rytov series; Volterra series; computer simulation study; cylindrical symmetry; filtered backpropagation algorithm; higher order diffraction tomography; inversion; linear term; nonlinear diffraction tomography; nonlinear operators; nonlinear tomographic reconstruction algorithm; scattering experiments; scattering objects; wavefields; Acoustic scattering; Backpropagation algorithms; Diffraction; Electromagnetic scattering; Image reconstruction; Inverse problems; Optical refraction; Optical scattering; Tomography; X-ray scattering;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.857788

Filename

857788