On the Computation of Power in Volume Integral Equation Formulations

Author(s)
Polimeridis, Athanasios G.; Reid, M. T. Homer; Johnson, Steven G.; White, Jacob K.; Rodriguez, Alejandro W.
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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.
Date issued
2015-01
URI
http://hdl.handle.net/1721.1/101086
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Department of Mathematics
Journal
IEEE Transactions on Antennas and Propagation
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Polimeridis, Athanasios G., M. T. Homer Reid, Steven G. Johnson, Jacob K. White, and Alejandro W. Rodriguez. “On the Computation of Power in Volume Integral Equation Formulations.” IEEE Transactions on Antennas and Propagation 63, no. 2 (February 2015): 611–620.
Version: Original manuscript
ISSN
0018-926X
1558-2221
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