Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding
A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of cross-section. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally res...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EMW Publishing
2007
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| Online Access: | http://shdl.mmu.edu.my/3124/ http://shdl.mmu.edu.my/3124/1/Towards%20the%20characteristic%20dispersion%20relation%20for%20step-index%20hyperbolic%20waveguide%20with%20conducting%20helical%20winding.pdf |
| _version_ | 1848790240516374528 |
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| author | Kumar, Deepak Choudhury, Pankaj Kumar Abd Rahman, Faidz |
| author_facet | Kumar, Deepak Choudhury, Pankaj Kumar Abd Rahman, Faidz |
| author_sort | Kumar, Deepak |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of cross-section. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally results into Mathieu and modified Mathieu functions as the representatives of the electromagnetic fields within the lightguide. Field components in the different sections of the guide are deduced, and the characteristic dispersion equation for the system is derived. The preliminary investigation on such type of waveguide throws the idea that the presence of helix pitch angle ( which serves the purpose of additional controlling parameter for the guide) in the dispersion relation would greatly affect the propagation characteristics of the guide, and this can be of great practical importance. |
| first_indexed | 2025-11-14T18:09:28Z |
| format | Article |
| id | mmu-3124 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:09:28Z |
| publishDate | 2007 |
| publisher | EMW Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-31242021-08-23T08:32:42Z http://shdl.mmu.edu.my/3124/ Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding Kumar, Deepak Choudhury, Pankaj Kumar Abd Rahman, Faidz T Technology (General) QC Physics A study is presented of the light wave propagation in a new type of dielectric optical waveguide with hyperbolic kind of cross-section. Further, the waveguide is assumed to have a conducting helical winding. The analysis essentially requires the use of elliptical coordinate system, which finally results into Mathieu and modified Mathieu functions as the representatives of the electromagnetic fields within the lightguide. Field components in the different sections of the guide are deduced, and the characteristic dispersion equation for the system is derived. The preliminary investigation on such type of waveguide throws the idea that the presence of helix pitch angle ( which serves the purpose of additional controlling parameter for the guide) in the dispersion relation would greatly affect the propagation characteristics of the guide, and this can be of great practical importance. EMW Publishing 2007 Article NonPeerReviewed text en http://shdl.mmu.edu.my/3124/1/Towards%20the%20characteristic%20dispersion%20relation%20for%20step-index%20hyperbolic%20waveguide%20with%20conducting%20helical%20winding.pdf Kumar, Deepak and Choudhury, Pankaj Kumar and Abd Rahman, Faidz (2007) Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding. Progress In Electromagnetics Research, 71. pp. 251-275. ISSN 1559-8985 http://dx.doi.org/10.2528/PIER07030504 doi:10.2528/PIER07030504 doi:10.2528/PIER07030504 |
| spellingShingle | T Technology (General) QC Physics Kumar, Deepak Choudhury, Pankaj Kumar Abd Rahman, Faidz Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title | Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title_full | Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title_fullStr | Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title_full_unstemmed | Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title_short | Towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| title_sort | towards the characteristic dispersion relation for step-index hyperbolic waveguide with conducting helical winding |
| topic | T Technology (General) QC Physics |
| url | http://shdl.mmu.edu.my/3124/ http://shdl.mmu.edu.my/3124/ http://shdl.mmu.edu.my/3124/ http://shdl.mmu.edu.my/3124/1/Towards%20the%20characteristic%20dispersion%20relation%20for%20step-index%20hyperbolic%20waveguide%20with%20conducting%20helical%20winding.pdf |