On the Computation of Power in Volume Integral Equation Formulations

• Main Authors: Polimeridis, A. G, Reid, M. T. H, Johnson, S. G, White, J. K, Rodriguez, A. W
• Format: Journal Article
• Language: English
• Published: 12-09-2014
• Subjects: Physics - Computational Physics
• DOI: 10.48550/arxiv.1406.7260

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.