Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain
Time-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines. In this article, we propose the theory of periodic sequence (TPS), marking the first effort to mathematically formalize Maxwell’s equations in t...
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| Format: | Article |
| Language: | English |
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Chinese Institute of Electronics
2024-12-01
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| Series: | Electromagnetic Science |
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| Online Access: | https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0028 |
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| author | Ben You Ke Wu |
| author_facet | Ben You Ke Wu |
| author_sort | Ben You |
| collection | DOAJ |
| description | Time-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines. In this article, we propose the theory of periodic sequence (TPS), marking the first effort to mathematically formalize Maxwell’s equations in the discrete transform domain (corresponding to time domain) and to legitimize the application of the discrete Fourier transform to the temporal aspect of Maxwell’s equation. TPS is intended to serve as a comprehensive theory to depict the physical behavior of electromagnetic (EM) periodic sequential fields and waves. Within the TPS framework, periodic-sequential Maxwell’s curl equations are decomposed and decoupled to independent and paralleled instances via designated mappings. The fundamental solutions of EM periodic sequential excitation are elucidated and corroborated by radio-frequency (RF)/microwave measurements. This involves potential applications in the analysis of broadband RF transmission and the design of high-speed RF devices. |
| format | Article |
| id | doaj-art-8fb045f6874048aba7d41b730fb8a271 |
| institution | Kabale University |
| issn | 2836-9440 2836-8282 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Chinese Institute of Electronics |
| record_format | Article |
| series | Electromagnetic Science |
| spelling | doaj-art-8fb045f6874048aba7d41b730fb8a2712025-01-03T06:26:17ZengChinese Institute of ElectronicsElectromagnetic Science2836-94402836-82822024-12-012411410.23919/emsci.2024.0028EMS20240028Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform DomainBen You0Ke Wu1Poly-Grames Research Center and Department of Electrical Engineering, Polytechnique Montreal, Montreal, QC H3T 1J4, CanadaPoly-Grames Research Center and Department of Electrical Engineering, Polytechnique Montreal, Montreal, QC H3T 1J4, CanadaTime-periodic form or expression is commonly observed in both natural and man-made phenomena across a wide range of scientific and engineering disciplines. In this article, we propose the theory of periodic sequence (TPS), marking the first effort to mathematically formalize Maxwell’s equations in the discrete transform domain (corresponding to time domain) and to legitimize the application of the discrete Fourier transform to the temporal aspect of Maxwell’s equation. TPS is intended to serve as a comprehensive theory to depict the physical behavior of electromagnetic (EM) periodic sequential fields and waves. Within the TPS framework, periodic-sequential Maxwell’s curl equations are decomposed and decoupled to independent and paralleled instances via designated mappings. The fundamental solutions of EM periodic sequential excitation are elucidated and corroborated by radio-frequency (RF)/microwave measurements. This involves potential applications in the analysis of broadband RF transmission and the design of high-speed RF devices.https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0028theory of periodic sequencetime-periodic electromagneticsbroadband transmission |
| spellingShingle | Ben You Ke Wu Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain Electromagnetic Science theory of periodic sequence time-periodic electromagnetics broadband transmission |
| title | Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain |
| title_full | Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain |
| title_fullStr | Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain |
| title_full_unstemmed | Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain |
| title_short | Theory of Periodic Sequence: A Generalized Formalism of Maxwell’s Equations in Discrete Transform Domain |
| title_sort | theory of periodic sequence a generalized formalism of maxwell s equations in discrete transform domain |
| topic | theory of periodic sequence time-periodic electromagnetics broadband transmission |
| url | https://www.emscience.org/en/article/doi/10.23919/emsci.2024.0028 |
| work_keys_str_mv | AT benyou theoryofperiodicsequenceageneralizedformalismofmaxwellsequationsindiscretetransformdomain AT kewu theoryofperiodicsequenceageneralizedformalismofmaxwellsequationsindiscretetransformdomain |