On the computation of power in volume integral equation formulations

Athanasios G. Polimeridis, M. T.Homer Reid, Steven G. Johnson, Jacob K. White, Alejandro W. Rodriguez

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We present simple and stable formulas for computing power (including absorbed/radiated, scattered and extinction power) in current-based volume integral equation formulations. The proposed formulas are given in terms of vector-matrix-vector products of quantities found solely in the associated linear system. In addition to their efficiency, the derived expressions can guarantee the positivity of the computed power. We also discuss the application of Poynting's theoremfor the case of sources immersed in dissipative materials. The formulas are validated against results obtained both with analytical and numerical methods for scattering and radiation benchmark cases.

Original languageEnglish (US)
Article number6990509
Pages (from-to)611-620
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Issue number2
StatePublished - Feb 1 2015

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


  • Electromagnetic scattering
  • Method of moments (MoM)
  • Numerical analysis
  • Poynting's theorem
  • Volume integral Equations


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