On the Computation of Power in Volume Integral Equation Formulations
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 linea...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2016
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| Online Access: | http://hdl.handle.net/1721.1/101086 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0003-1080-4005 |
| _version_ | 1826204584038629376 |
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| author | Polimeridis, Athanasios G. Reid, M. T. Homer Johnson, Steven G. White, Jacob K. Rodriguez, Alejandro W. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Polimeridis, Athanasios G. Reid, M. T. Homer Johnson, Steven G. White, Jacob K. Rodriguez, Alejandro W. |
| author_sort | Polimeridis, Athanasios G. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T12:57:46Z |
| format | Article |
| id | mit-1721.1/101086 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:57:46Z |
| publishDate | 2016 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/1010862022-10-01T12:12:25Z On the Computation of Power in Volume Integral Equation Formulations Polimeridis, Athanasios G. Reid, M. T. Homer Johnson, Steven G. White, Jacob K. Rodriguez, Alejandro W. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Department of Mathematics Polimeridis, Athanasios G. Reid, M. T. Homer Johnson, Steven G. White, Jacob K. 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. Singapore-MIT Alliance for Research and Technology MIT Skoltech Initiative Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-07-D0004) 2016-02-03T18:54:25Z 2016-02-03T18:54:25Z 2015-01 2014-09 Article http://purl.org/eprint/type/JournalArticle 0018-926X 1558-2221 http://hdl.handle.net/1721.1/101086 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. https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0003-1080-4005 en_US http://dx.doi.org/10.1109/tap.2014.2382636 IEEE Transactions on Antennas and Propagation Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Polimeridis, Athanasios G. Reid, M. T. Homer Johnson, Steven G. White, Jacob K. Rodriguez, Alejandro W. On the Computation of Power in Volume Integral Equation Formulations |
| title | On the Computation of Power in Volume Integral Equation Formulations |
| title_full | On the Computation of Power in Volume Integral Equation Formulations |
| title_fullStr | On the Computation of Power in Volume Integral Equation Formulations |
| title_full_unstemmed | On the Computation of Power in Volume Integral Equation Formulations |
| title_short | On the Computation of Power in Volume Integral Equation Formulations |
| title_sort | on the computation of power in volume integral equation formulations |
| url | http://hdl.handle.net/1721.1/101086 https://orcid.org/0000-0001-7327-4967 https://orcid.org/0000-0003-1080-4005 |
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