Electromagnetic Scattering from a Cavity Embedded in an Impedance Ground Plane

Kui Du, Buyang Li, Weiwei Sun, Huanhuan Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


This paper is concerned with time-harmonic electromagnetic scattering from a cavity embedded in an impedance ground plane. The fillings (which may be inhomogeneous) do not protrude the cavity and the space above the ground plane is empty. This problem is obviously different from those considered in previous work where either perfectly conducting boundary conditions were used or the cavity was assumed to be empty. By employing the Green’s function method, we reduce the scattering problem to a boundary-value problem in a bounded domain (the cavity), with impedance boundary conditions on the cavity walls and an impedance-to-Dirichlet condition on the cavity aperture. Existence and uniqueness of the solution are proved for the weak formulation of the reduced problem. We also propose a numerical method to calculate the radar cross section (RCS), which is a parameter of physical interest. Numerical experiments show that the proposed model and numerical method are efficient for the calculation of RCS from cavities.

Original languageEnglish
Pages (from-to)7748-7765
Number of pages18
JournalMathematical Methods in the Applied Sciences
Issue number17
Publication statusPublished - 1 Jan 2018


  • Electromagnetic cavity
  • Existence and uniqueness
  • Impedance boundary condition
  • Impedanceto- dirichlet map
  • Radar cross section

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering


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