A Fast Algorithm of Cross-Correlated Contrast Source Inversion in Homogeneous Background Media

Nonlinear iterative inversion methods are computationally expensive, which leads to limited applications. In this article, a fast algorithm of the cross-correlated contrast source inversion (CC-CSI) method is proposed. By assuming a homogeneous background medium, the task of solving systems of linea...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation Vol. 71; no. 5; pp. 4380 - 4393
Main Authors: Sun, Shilong, Dai, Dahai, Wang, Xuesong
Format: Journal Article
Language:English
Published: New York IEEE 01.05.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
3-D inversion
Algorithms
cross-correlated contrast source inversion (CC-CSI)
Electric fields
Fast Fourier transformations
Fourier transforms
Inverse problems
Iterative methods
Linear equations
Media
nonlinear iterative inversion
Permittivity
Receivers
Scattering
Sun
transverse electric (TE)
transverse magnetic (TM)
ISSN:0018-926X, 1558-2221
Online Access:Get full text
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Summary:Nonlinear iterative inversion methods are computationally expensive, which leads to limited applications. In this article, a fast algorithm of the cross-correlated contrast source inversion (CC-CSI) method is proposed. By assuming a homogeneous background medium, the task of solving systems of linear equations, the most time-consuming part of the CC-CSI method, has been efficiently implemented with several fast Fourier transforms (FFTs) and inverse FFTs (IFFTs) for transverse magnetic (TM), transverse electric (TE), and 3-D inversion, respectively. Theoretical analysis and real experiments demonstrate that the inversion efficiency of CC-CSI has been improved dramatically in comparison to the strategies of LU decomposition and the Biconjugate gradient (Bicg) algorithm. Specifically, the inversion speed of the proposed fast CC-CSI algorithm is at least one order of magnitude higher than using the latter two approaches in 3-D inversion, while the memory requirement of the proposed algorithm is intermediary and acceptable. Furthermore, the proposed fast scheme is also applicable to all the inversion methods which are related to computing the electric fields directly from the contrast sources in homogeneous background media.
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ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2023.3243768