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

doi:10.1109/TAP.2014.2382636

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 journal › Article › peer-review

32 Scopus citations

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 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 language	English (US)
Article number	6990509
Pages (from-to)	611-620
Number of pages	10
Journal	IEEE Transactions on Antennas and Propagation
Volume	63
Issue number	2
DOIs	https://doi.org/10.1109/TAP.2014.2382636
State	Published - Feb 1 2015

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Keywords

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

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10.1109/TAP.2014.2382636

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title = "On the computation of power in volume integral equation formulations",

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 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.",

keywords = "Electromagnetic scattering, Method of moments (MoM), Numerical analysis, Poynting's theorem, Volume integral Equations",

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T1 - On the computation of power in volume integral equation formulations

AU - Polimeridis, Athanasios G.

AU - Reid, M. T.Homer

AU - Johnson, Steven G.

AU - White, Jacob K.

AU - Rodriguez, Alejandro W.

PY - 2015/2/1

Y1 - 2015/2/1

N2 - 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.

AB - 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.

KW - Electromagnetic scattering

KW - Method of moments (MoM)

KW - Numerical analysis

KW - Poynting's theorem

KW - Volume integral Equations

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JO - IEEE Transactions on Antennas and Propagation

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On the computation of power in volume integral equation formulations

Abstract

All Science Journal Classification (ASJC) codes

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