中国邮电高校学报(英文版) ›› 2018, Vol. 25 ›› Issue (2): 89-95.doi: 10. 19682/ j. cnki. 1005-8885. 2018. 1009

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An effective time-domain microwave image reconstruction algorithm for loss-y layered media utilizing the ADI-FDTD method

Chen Biyun, Zhang Yerong, Pan Xin   

  1. 1. College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
    2. School of Information Engineering, Yancheng Teachers University, Yancheng 224002, China
    3. Fuxin Branch Campus, Aviation University of Air Force, Fuxin 123000, China
  • 收稿日期:2017-04-21 修回日期:2018-04-04 出版日期:2018-04-30 发布日期:2018-07-02
  • 通讯作者: Chen Biyun, E-mail: cby8612@126. com E-mail:cby8612@126.com
  • 作者简介:Chen Biyun, E-mail: cby8612@126. com

An effective time-domain microwave image reconstruction algorithm for loss-y layered media utilizing the ADI-FDTD method

Chen Biyun, Zhang Yerong, Pan Xin   

  1. 1. College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
    2. School of Information Engineering, Yancheng Teachers University, Yancheng 224002, China
    3. Fuxin Branch Campus, Aviation University of Air Force, Fuxin 123000, China
  • Received:2017-04-21 Revised:2018-04-04 Online:2018-04-30 Published:2018-07-02
  • Contact: Chen Biyun, E-mail: cby8612@126. com E-mail:cby8612@126.com
  • About author:Chen Biyun, E-mail: cby8612@126. com

摘要: The finite-difference time-domain (FDTD) method is extensively applied in dealing with time-domain microwave imaging(MWI) problems since it is robust, fast, simple to implement. However, the FDTD method is an explicit time-stepping technique, due to the constraint of the Courant-Friedrich-Levy (CFL) stability condition, the time step needs to be as small as the size of the fine cells, which brings a major increase in computational costs. A fast nonlinear electromagnetic reconstruction algorithm for layered loss-y media by using the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method is proposed. This algorithm is based on an adjoint method, and the nonlinear iterations apply the ADI-FDTD method to calculate the forward and adjoint field, and adopt the Polak, Ribiere, Polyar conjugate-gradient (PRP-CG) optimization scheme. By comparing the simulation results based on ADI-FDTD method and the FDTD method, the validity and efficiency of the proposed algorithm have been proved. Furthermore, the relative residual errors (RRE) are introduced as the iterative computation termination conditions, which further prove the accuracy of this algorithm.

关键词: reconstruction algorithm, ADI-FDTD, MWI

Abstract: The finite-difference time-domain (FDTD) method is extensively applied in dealing with time-domain microwave imaging(MWI) problems since it is robust, fast, simple to implement. However, the FDTD method is an explicit time-stepping technique, due to the constraint of the Courant-Friedrich-Levy (CFL) stability condition, the time step needs to be as small as the size of the fine cells, which brings a major increase in computational costs. A fast nonlinear electromagnetic reconstruction algorithm for layered loss-y media by using the alternating-direction implicit finite-difference time-domain (ADI-FDTD) method is proposed. This algorithm is based on an adjoint method, and the nonlinear iterations apply the ADI-FDTD method to calculate the forward and adjoint field, and adopt the Polak, Ribiere, Polyar conjugate-gradient (PRP-CG) optimization scheme. By comparing the simulation results based on ADI-FDTD method and the FDTD method, the validity and efficiency of the proposed algorithm have been proved. Furthermore, the relative residual errors (RRE) are introduced as the iterative computation termination conditions, which further prove the accuracy of this algorithm.

Key words: reconstruction algorithm, ADI-FDTD, MWI

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