Influence of the rectangular helical and toroidal waveguides on the curvature and the torsion and the technique to solve circular hollow core with dielectric material in the cross section.
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| Title: | Influence of the rectangular helical and toroidal waveguides on the curvature and the torsion and the technique to solve circular hollow core with dielectric material in the cross section. |
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| Authors: | Menachem, Zion1 (AUTHOR) zionmm@gmail.com |
| Source: | Journal of Electromagnetic Waves & Applications. Jul2025, Vol. 39 Issue 11, p1345-1367. 23p. |
| Subjects: | Rectangular waveguides, Dielectric materials, Laplace transformation, Fourier transforms, Waveguides, Torsion, Curvature |
| Abstract: | The first objective of this research is to present the influence of the rectangular helical and toroidal waveguides on the curvature and the torsion. The second objective is to propose a technique for a practical example where the circular hollow core is located in the center of the cross-section and the dielectric material is located between the circular hollow core and the metal, by using a complementary shapes. This example shows the discontinuous cross section, that cannot be solved by analytical methods. The technique is based on subtracting the cross section with the dielectric material in the circular core from the cross section of the dielectric profile of the waveguide filled entirely with the dielectric material. The third objective is to demonstrate the influence of the bending (1/R) on the output power transmission and also to find the relevant parameters to obtain the Gaussian behavior of the output field in the interesting case of circular hollow core. The method is based on Laplace and Fourier transforms and the inverse Laplace and Fourier transforms. We will explain in detail how and where the technique can be integrated into the proposed mode model. The applications are useful for rectangular helical and toroidal waveguides in millimeter regimes, where the circular hollow core is located in the center of the cross section and the dielectric material is located between the circular hollow core and the metal. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Electromagnetic Waves & Applications is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 186450531 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Influence of the rectangular helical and toroidal waveguides on the curvature and the torsion and the technique to solve circular hollow core with dielectric material in the cross section. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Menachem%2C+Zion%22">Menachem, Zion</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zionmm@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Electromagnetic+Waves+%26+Applications%22">Journal of Electromagnetic Waves & Applications</searchLink>. Jul2025, Vol. 39 Issue 11, p1345-1367. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Rectangular+waveguides%22">Rectangular waveguides</searchLink><br /><searchLink fieldCode="DE" term="%22Dielectric+materials%22">Dielectric materials</searchLink><br /><searchLink fieldCode="DE" term="%22Laplace+transformation%22">Laplace transformation</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Waveguides%22">Waveguides</searchLink><br /><searchLink fieldCode="DE" term="%22Torsion%22">Torsion</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The first objective of this research is to present the influence of the rectangular helical and toroidal waveguides on the curvature and the torsion. The second objective is to propose a technique for a practical example where the circular hollow core is located in the center of the cross-section and the dielectric material is located between the circular hollow core and the metal, by using a complementary shapes. This example shows the discontinuous cross section, that cannot be solved by analytical methods. The technique is based on subtracting the cross section with the dielectric material in the circular core from the cross section of the dielectric profile of the waveguide filled entirely with the dielectric material. The third objective is to demonstrate the influence of the bending (1/R) on the output power transmission and also to find the relevant parameters to obtain the Gaussian behavior of the output field in the interesting case of circular hollow core. The method is based on Laplace and Fourier transforms and the inverse Laplace and Fourier transforms. We will explain in detail how and where the technique can be integrated into the proposed mode model. The applications are useful for rectangular helical and toroidal waveguides in millimeter regimes, where the circular hollow core is located in the center of the cross section and the dielectric material is located between the circular hollow core and the metal. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Electromagnetic Waves & Applications is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/09205071.2025.2505049 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 1345 Subjects: – SubjectFull: Rectangular waveguides Type: general – SubjectFull: Dielectric materials Type: general – SubjectFull: Laplace transformation Type: general – SubjectFull: Fourier transforms Type: general – SubjectFull: Waveguides Type: general – SubjectFull: Torsion Type: general – SubjectFull: Curvature Type: general Titles: – TitleFull: Influence of the rectangular helical and toroidal waveguides on the curvature and the torsion and the technique to solve circular hollow core with dielectric material in the cross section. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Menachem, Zion IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 07 Text: Jul2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 09205071 Numbering: – Type: volume Value: 39 – Type: issue Value: 11 Titles: – TitleFull: Journal of Electromagnetic Waves & Applications Type: main |
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