4.7 Article

On the Computation of Power in Volume Integral Equation Formulations

Journal

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
Volume 63, Issue 2, Pages 611-620

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2014.2382636

Keywords

Electromagnetic scattering; method of moments (MoM); numerical analysis; Poynting's theorem; volume integral equations

Funding

  1. Singapore-MIT program in Computational Engineering
  2. Singapore-MIT program in Computational and Systems Biology
  3. Skolkovo-MIT initiative in Computational Mathematics
  4. Army Research Office through the Institute for Soldier Nanotechnologies [W911NF-07-D0004]

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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 theorem for 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.

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