On the Computation of Power in Volume Integral Equation Formulations

Author

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

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Massachusetts Inst. of Technol., Cambridge, MA, USA

Volume

63

Issue

2

fYear

2015

fDate

Feb. 2015

Firstpage

611

Lastpage

620

Abstract

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.

Keywords

electromagnetic wave scattering; integral equations; linear systems; method of moments; Poynting´s theorem; associated linear system; current-based volume integral equation formulations; vector-matrix-vector products; volume integral equation formulation; Integral equations; Linear systems; Magnetization; Materials; Method of moments; Scattering; Vectors; Electromagnetic scattering; Poynting's theorem; method of moments (MoM); numerical analysis; volume integral equations;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2014.2382636

Filename

6990509