Jump conditions for Maxwell equations and their consequences
We derived the jump conditions for Faraday's induction law at the interface of two contacting bodies in both Eulerian and Lagrangian descriptions. An algorithm to implement the jump conditions in the potential formulation of Maxwell equation is presented. Calculations show that the use of the c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2013-01-01
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| Series: | AIP Advances |
| Online Access: | http://link.aip.org/link/doi/10.1063/1.4789794 |
| _version_ | 1819178578218057728 |
|---|---|
| author | Sikhanda Satapathy Kuota Hsieh |
| author_facet | Sikhanda Satapathy Kuota Hsieh |
| author_sort | Sikhanda Satapathy |
| collection | DOAJ |
| description | We derived the jump conditions for Faraday's induction law at the interface of two contacting bodies in both Eulerian and Lagrangian descriptions. An algorithm to implement the jump conditions in the potential formulation of Maxwell equation is presented. Calculations show that the use of the correct jump conditions leads to good agreement with experimental data, whereas the use of incorrect jump conditions can lead to severe inaccuracies in the computational results. Our derivation resolves the jump condition discrepancy found in the literature and is validated with experimental results. |
| first_indexed | 2024-12-22T21:44:46Z |
| format | Article |
| id | doaj.art-350e9282b1954c54811b8dd0a5c29139 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-22T21:44:46Z |
| publishDate | 2013-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-350e9282b1954c54811b8dd0a5c291392022-12-21T18:11:31ZengAIP Publishing LLCAIP Advances2158-32262013-01-013101212001212010.1063/1.4789794Jump conditions for Maxwell equations and their consequencesSikhanda SatapathyKuota HsiehWe derived the jump conditions for Faraday's induction law at the interface of two contacting bodies in both Eulerian and Lagrangian descriptions. An algorithm to implement the jump conditions in the potential formulation of Maxwell equation is presented. Calculations show that the use of the correct jump conditions leads to good agreement with experimental data, whereas the use of incorrect jump conditions can lead to severe inaccuracies in the computational results. Our derivation resolves the jump condition discrepancy found in the literature and is validated with experimental results.http://link.aip.org/link/doi/10.1063/1.4789794 |
| spellingShingle | Sikhanda Satapathy Kuota Hsieh Jump conditions for Maxwell equations and their consequences AIP Advances |
| title | Jump conditions for Maxwell equations and their consequences |
| title_full | Jump conditions for Maxwell equations and their consequences |
| title_fullStr | Jump conditions for Maxwell equations and their consequences |
| title_full_unstemmed | Jump conditions for Maxwell equations and their consequences |
| title_short | Jump conditions for Maxwell equations and their consequences |
| title_sort | jump conditions for maxwell equations and their consequences |
| url | http://link.aip.org/link/doi/10.1063/1.4789794 |
| work_keys_str_mv | AT sikhandasatapathy jumpconditionsformaxwellequationsandtheirconsequences AT kuotahsieh jumpconditionsformaxwellequationsandtheirconsequences |