Derivation of Maxwell's equations using field-impulses
Recently, new fundamental equations for electromagnetics have been presented using field-impulses as physical field-integrators. The field-impulses are physically real, causal and gauge-independent for aptly describing electromagnetics. This paper presents the derivation of Maxwell's (Faraday a...
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| Format: | Conference Paper |
| Language: | English |
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2024
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| Online Access: | https://hdl.handle.net/10356/178500 |
| _version_ | 1826120973028425728 |
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| author | Tan, Eng Leong |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Tan, Eng Leong |
| author_sort | Tan, Eng Leong |
| collection | NTU |
| description | Recently, new fundamental equations for electromagnetics have been presented using field-impulses as physical field-integrators. The field-impulses are physically real, causal and gauge-independent for aptly describing electromagnetics. This paper presents the derivation of Maxwell's (Faraday and Ampere) equations using field-impulses. The derivation assumes that the equations are not available in complete explicit form beforehand, and only makes references to some earlier key findings before Maxwell. It also exploits judiciously the definition and relation of field-impulses, the physical reality of their time/spatial derivatives and their mathematical (e.g. solenoidal) properties. Being the necessary and sufficient fundamental physical quantities, the field-impulses find usefulness in field derivation as well as many aspects of classical and quantum electromagnetics. |
| first_indexed | 2024-10-01T05:25:10Z |
| format | Conference Paper |
| id | ntu-10356/178500 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:25:10Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1785002024-06-28T15:38:56Z Derivation of Maxwell's equations using field-impulses Tan, Eng Leong School of Electrical and Electronic Engineering 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI) Engineering Electromagnetics Maxwell equations Recently, new fundamental equations for electromagnetics have been presented using field-impulses as physical field-integrators. The field-impulses are physically real, causal and gauge-independent for aptly describing electromagnetics. This paper presents the derivation of Maxwell's (Faraday and Ampere) equations using field-impulses. The derivation assumes that the equations are not available in complete explicit form beforehand, and only makes references to some earlier key findings before Maxwell. It also exploits judiciously the definition and relation of field-impulses, the physical reality of their time/spatial derivatives and their mathematical (e.g. solenoidal) properties. Being the necessary and sufficient fundamental physical quantities, the field-impulses find usefulness in field derivation as well as many aspects of classical and quantum electromagnetics. Ministry of Education (MOE) Submitted/Accepted version The author would like to acknowledge the support from Singapore Ministry of Education through research grant RG49/21 2024-06-24T08:37:53Z 2024-06-24T08:37:53Z 2023 Conference Paper Tan, E. L. (2023). Derivation of Maxwell's equations using field-impulses. 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI), 147-148. https://dx.doi.org/10.1109/USNC-URSI52151.2023.10237727 https://hdl.handle.net/10356/178500 10.1109/USNC-URSI52151.2023.10237727 147 148 en RG49/21 © 2023 IEEE. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1109/USNC-URSI52151.2023.10237727. application/pdf |
| spellingShingle | Engineering Electromagnetics Maxwell equations Tan, Eng Leong Derivation of Maxwell's equations using field-impulses |
| title | Derivation of Maxwell's equations using field-impulses |
| title_full | Derivation of Maxwell's equations using field-impulses |
| title_fullStr | Derivation of Maxwell's equations using field-impulses |
| title_full_unstemmed | Derivation of Maxwell's equations using field-impulses |
| title_short | Derivation of Maxwell's equations using field-impulses |
| title_sort | derivation of maxwell s equations using field impulses |
| topic | Engineering Electromagnetics Maxwell equations |
| url | https://hdl.handle.net/10356/178500 |
| work_keys_str_mv | AT tanengleong derivationofmaxwellsequationsusingfieldimpulses |