Journal of Computational Electronics

, Volume 17, Issue 3, pp 1013–1018 | Cite as

FDTD method for the scattered-field equation to calculate the radar cross-section of a three-dimensional target

  • Jian-Xiao Liu
  • Lu Ju
  • Ling-Hui Meng
  • Yu-Jie Liu
  • Zhi-Gang Xu
  • Hong-Wei Yang


A discrete finite-difference time-domain (FDTD) method based on Maxwell’s equations is proposed to solve the scattered-field equation for dispersive media. The equations for the scattered field in a plasma medium are first derived, then used to calculate the radar cross-section (RCS) of three-dimensional targets, viz. a plasma sphere and a rectangular plate. When using such an FDTD method to compute the far-field scattering characteristics of a target, the near- to far-field transformation technique is generally required, which involves artificial setting a connection boundary between the total and scattered field in the computational space in order to calculate the latter and thereby the RCS of the target. This connection boundary must be set separately and appropriate computational grids added. However, by discretizing the Maxwell’s equations describing the scattered field, the resulting field in the computational space is already the scattered field and can be used directly to calculate the far-field properties of the target. In this way, the additional processing for the edge of the scattered field and computational space is avoided. Numerical calculations herein show that this FDTD approach for the scattered field is universal to some extent, being suitable for not only homogeneous but also dispersive media.


Scattered-field equation FDTD Three-dimensional Plasma RCS 



This work is supported by the Natural Science Foundation of China (grant no. 11674174) and the Excellence Project of Nanjing Agricultural University (grant no. JF17080123).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Jian-Xiao Liu
    • 1
    • 2
  • Lu Ju
    • 2
  • Ling-Hui Meng
    • 1
  • Yu-Jie Liu
    • 2
  • Zhi-Gang Xu
    • 3
  • Hong-Wei Yang
    • 2
  1. 1.College of Electronics and Information EngineeringHengshui UniversityHengshuiPeople’s Republic of China
  2. 2.Department of Physics, College of ScienceNanjing Agricultural UniversityNanjingPeople’s Republic of China
  3. 3.College of AgricultureNanjing Agricultural UniversityNanjingPeople’s Republic of China

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