Roughly impedance-matched scatterers constructed with magnetodielectric cells

Olivier Vacus, Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The monostatic theorem of Weston states that a null radar cross section (RCS) will be observed for objects with rotational symmetry that are impedance matched to their host medium, i.e., that have their material parameters εr = μr. A study of the generalization of this result applied to heterogeneous magnetodielectric (MD) scatterers is presented. The entire object of interest is divided into a set of small cubical unit cells in a three-dimensional checkerboard format, i.e., two different materials are distributed alternately in lego-like designs. Numerical computations are presented to compare the RCS levels of perfectly impedance-matched scatterers and their lego-based equivalents. The degree of homogenization that can be attributed to these heterogeneous scatterers for a variety of double positive material choices, including extreme values, is addressed specifically in relation to their satisfaction of Weston's theorem.

Original languageEnglish (US)
Article number07174972
Pages (from-to)4418-4425
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Issue number10
StatePublished - Oct 1 2015


  • Electromagnetic modeling
  • Electromagnetic scattering
  • Homogenization
  • Integral equations
  • Radar cross sections (RCSs)
  • Weston's theorem

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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