A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background

Kuiwen Xu; Xiuzhu Ye; Zhong Yu; Xudong Chen

doi:10.1109/COMPEM.2018.8496590

A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background

Kuiwen Xu, Xiuzhu Ye, Zhong Yu, Xudong Chen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

In this paper, a family of difference integral equations, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), is proposed to solve the the electromagnetic inverse scattering problems (ISPs) with inhomogeneous background medium. In the frame of the differential integral equation methods, the D-LSIE equipped with distorted-Born iterative method (DBIM) and the truanted singular value decomposition (TSVD), is used to solve the inhomogeneous ISPs. With the regularization of TSVD, Tikhonov regularization is not included in the cost function such that the method proposed avoid to choose a proper Tikhonov regularization parameter. The synthetic data illustrate the efficacy of the new inversion method.

Original language	English
Title of host publication	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538612415
DOIs	https://doi.org/10.1109/COMPEM.2018.8496590
Publication status	Published - 17 Oct 2018
Externally published	Yes
Event	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 - Chengdu, China Duration: 26 Mar 2018 → 28 Mar 2018

Publication series

Name	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

Conference

Conference	2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018
Country/Territory	China
City	Chengdu
Period	26/03/18 → 28/03/18

Keywords

Inverse scattering problems (ISPs)
difference integral equations
distorted-Born iterative method (DBIM)
inhomogeneous background
truanted singular value decomposition (TSVD)

Access to Document

10.1109/COMPEM.2018.8496590

Cite this

Xu, K., Ye, X., Yu, Z., & Chen, X. (2018). A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background. In 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 Article 8496590 (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/COMPEM.2018.8496590

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title = "A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background",

abstract = "In this paper, a family of difference integral equations, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), is proposed to solve the the electromagnetic inverse scattering problems (ISPs) with inhomogeneous background medium. In the frame of the differential integral equation methods, the D-LSIE equipped with distorted-Born iterative method (DBIM) and the truanted singular value decomposition (TSVD), is used to solve the inhomogeneous ISPs. With the regularization of TSVD, Tikhonov regularization is not included in the cost function such that the method proposed avoid to choose a proper Tikhonov regularization parameter. The synthetic data illustrate the efficacy of the new inversion method.",

keywords = "Inverse scattering problems (ISPs), difference integral equations, distorted-Born iterative method (DBIM), inhomogeneous background, truanted singular value decomposition (TSVD)",

author = "Kuiwen Xu and Xiuzhu Ye and Zhong Yu and Xudong Chen",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018 ; Conference date: 26-03-2018 Through 28-03-2018",

year = "2018",

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doi = "10.1109/COMPEM.2018.8496590",

language = "English",

series = "2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018",

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Xu, K, Ye, X, Yu, Z & Chen, X 2018, A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background. in 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018., 8496590, 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018, Institute of Electrical and Electronics Engineers Inc., 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018, Chengdu, China, 26/03/18. https://doi.org/10.1109/COMPEM.2018.8496590

A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background. / Xu, Kuiwen; Ye, Xiuzhu; Yu, Zhong et al.
2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018. Institute of Electrical and Electronics Engineers Inc., 2018. 8496590 (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background

AU - Xu, Kuiwen

AU - Ye, Xiuzhu

AU - Yu, Zhong

AU - Chen, Xudong

PY - 2018/10/17

Y1 - 2018/10/17

N2 - In this paper, a family of difference integral equations, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), is proposed to solve the the electromagnetic inverse scattering problems (ISPs) with inhomogeneous background medium. In the frame of the differential integral equation methods, the D-LSIE equipped with distorted-Born iterative method (DBIM) and the truanted singular value decomposition (TSVD), is used to solve the inhomogeneous ISPs. With the regularization of TSVD, Tikhonov regularization is not included in the cost function such that the method proposed avoid to choose a proper Tikhonov regularization parameter. The synthetic data illustrate the efficacy of the new inversion method.

AB - In this paper, a family of difference integral equations, i.e., difference Lippmann-Schwinger integral equation (D-LSIE), is proposed to solve the the electromagnetic inverse scattering problems (ISPs) with inhomogeneous background medium. In the frame of the differential integral equation methods, the D-LSIE equipped with distorted-Born iterative method (DBIM) and the truanted singular value decomposition (TSVD), is used to solve the inhomogeneous ISPs. With the regularization of TSVD, Tikhonov regularization is not included in the cost function such that the method proposed avoid to choose a proper Tikhonov regularization parameter. The synthetic data illustrate the efficacy of the new inversion method.

KW - Inverse scattering problems (ISPs)

KW - difference integral equations

KW - distorted-Born iterative method (DBIM)

KW - inhomogeneous background

KW - truanted singular value decomposition (TSVD)

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U2 - 10.1109/COMPEM.2018.8496590

DO - 10.1109/COMPEM.2018.8496590

M3 - Conference contribution

AN - SCOPUS:85057278471

T3 - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

BT - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018

Y2 - 26 March 2018 through 28 March 2018

ER -

Xu K, Ye X, Yu Z, Chen X. A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background. In 2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018. Institute of Electrical and Electronics Engineers Inc. 2018. 8496590. (2018 IEEE International Conference on Computational Electromagnetics, ICCEM 2018). doi: 10.1109/COMPEM.2018.8496590

A Fast Algorithm for Solving the Inverse Scattering Problems with Inhomogeneous Background

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