Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems

Da Miao Yu; Xiuzhu Ye; Xiao Min Pan; Xin Qing Sheng

doi:10.1109/LGRS.2022.3157734

Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems

Da Miao Yu, Xiuzhu Ye, Xiao Min Pan^*, Xin Qing Sheng

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Three-dimensional Fourier bases-expansion contraction integral equation for inversion (FBE-CIE-I) is developed to solve electromagnetic inverse scattering problems (ISPs). Taking the shape of the scatterer into account, the size of the domain of interest (DoI) and thus the number of low-frequency Fourier bases are flexibly chosen in the proposed method. The accuracy and the stability of the proposed method are verified by the numerical tests on irregularly shaped targets. The results indicate that the accuracy and the convergence of the proposed 3-D FBE-CIE-I is insensitive to the parameters and the noises on the scattered fields.

Original language	English
Article number	5002905
Journal	IEEE Geoscience and Remote Sensing Letters
Volume	19
DOIs	https://doi.org/10.1109/LGRS.2022.3157734
Publication status	Published - 2022

Keywords

Contraction integral equation for inversion (CIE-I)
Fourier bases-expansion (FBE)
electromagnetic inverse scattering problems (ISPs)
three-dimensional (3-D)

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10.1109/LGRS.2022.3157734

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title = "Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems",

abstract = "Three-dimensional Fourier bases-expansion contraction integral equation for inversion (FBE-CIE-I) is developed to solve electromagnetic inverse scattering problems (ISPs). Taking the shape of the scatterer into account, the size of the domain of interest (DoI) and thus the number of low-frequency Fourier bases are flexibly chosen in the proposed method. The accuracy and the stability of the proposed method are verified by the numerical tests on irregularly shaped targets. The results indicate that the accuracy and the convergence of the proposed 3-D FBE-CIE-I is insensitive to the parameters and the noises on the scattered fields.",

keywords = "Contraction integral equation for inversion (CIE-I), Fourier bases-expansion (FBE), electromagnetic inverse scattering problems (ISPs), three-dimensional (3-D)",

author = "Yu, {Da Miao} and Xiuzhu Ye and Pan, {Xiao Min} and Sheng, {Xin Qing}",

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T1 - Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems

AU - Yu, Da Miao

AU - Ye, Xiuzhu

AU - Pan, Xiao Min

AU - Sheng, Xin Qing

PY - 2022

Y1 - 2022

N2 - Three-dimensional Fourier bases-expansion contraction integral equation for inversion (FBE-CIE-I) is developed to solve electromagnetic inverse scattering problems (ISPs). Taking the shape of the scatterer into account, the size of the domain of interest (DoI) and thus the number of low-frequency Fourier bases are flexibly chosen in the proposed method. The accuracy and the stability of the proposed method are verified by the numerical tests on irregularly shaped targets. The results indicate that the accuracy and the convergence of the proposed 3-D FBE-CIE-I is insensitive to the parameters and the noises on the scattered fields.

AB - Three-dimensional Fourier bases-expansion contraction integral equation for inversion (FBE-CIE-I) is developed to solve electromagnetic inverse scattering problems (ISPs). Taking the shape of the scatterer into account, the size of the domain of interest (DoI) and thus the number of low-frequency Fourier bases are flexibly chosen in the proposed method. The accuracy and the stability of the proposed method are verified by the numerical tests on irregularly shaped targets. The results indicate that the accuracy and the convergence of the proposed 3-D FBE-CIE-I is insensitive to the parameters and the noises on the scattered fields.

KW - Contraction integral equation for inversion (CIE-I)

KW - Fourier bases-expansion (FBE)

KW - electromagnetic inverse scattering problems (ISPs)

KW - three-dimensional (3-D)

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U2 - 10.1109/LGRS.2022.3157734

DO - 10.1109/LGRS.2022.3157734

M3 - Article

AN - SCOPUS:85126316623

SN - 1545-598X

VL - 19

JO - IEEE Geoscience and Remote Sensing Letters

JF - IEEE Geoscience and Remote Sensing Letters

M1 - 5002905

ER -

Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems

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