Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure

A method was proposed for solving the dyadic Green’s functions (DGF) and scalar Green’s functions (SGF) of multi-layered plane media in this paper. The DGF and SGF were expressed in matrix form, where the variables of the boundary conditions (BCs) can be separated in matrix form. The obtained DGF an...

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Autores principales:	Zheng Wen, Jirun Luo, Wenqi Li
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	dyadic Green’s functions inhomogeneous multi-layered media slow-wave structures Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/db8ae4714356452a88ddf533fbe37ac3
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id	oai:doaj.org-article:db8ae4714356452a88ddf533fbe37ac3
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spelling	oai:doaj.org-article:db8ae4714356452a88ddf533fbe37ac32021-11-11T15:42:32ZGreen’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure10.3390/electronics102127162079-9292https://doaj.org/article/db8ae4714356452a88ddf533fbe37ac32021-11-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/21/2716https://doaj.org/toc/2079-9292A method was proposed for solving the dyadic Green’s functions (DGF) and scalar Green’s functions (SGF) of multi-layered plane media in this paper. The DGF and SGF were expressed in matrix form, where the variables of the boundary conditions (BCs) can be separated in matrix form. The obtained DGF and SGF are in explicit form and suitable for arbitrary boundary conditions, owing to the matrix form expression and the separable variables of the BCs. The Green’s functions with typical BCs were obtained, and the dispersion characteristic of the meander line slow-wave structure (ML-SWS) is analyzed based on the proposed DGF. The relative error between the theoretical results and the simulated ones with different relative permittivity is under 3%, which demonstrates that the proposed DGF is suitable for electromagnetic analysis to complicated structure including the ML-SWS.Zheng WenJirun LuoWenqi LiMDPI AGarticledyadic Green’s functionsinhomogeneousmulti-layered mediaslow-wave structuresElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2716, p 2716 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	dyadic Green’s functions inhomogeneous multi-layered media slow-wave structures Electronics TK7800-8360
spellingShingle	dyadic Green’s functions inhomogeneous multi-layered media slow-wave structures Electronics TK7800-8360 Zheng Wen Jirun Luo Wenqi Li Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
description	A method was proposed for solving the dyadic Green’s functions (DGF) and scalar Green’s functions (SGF) of multi-layered plane media in this paper. The DGF and SGF were expressed in matrix form, where the variables of the boundary conditions (BCs) can be separated in matrix form. The obtained DGF and SGF are in explicit form and suitable for arbitrary boundary conditions, owing to the matrix form expression and the separable variables of the BCs. The Green’s functions with typical BCs were obtained, and the dispersion characteristic of the meander line slow-wave structure (ML-SWS) is analyzed based on the proposed DGF. The relative error between the theoretical results and the simulated ones with different relative permittivity is under 3%, which demonstrates that the proposed DGF is suitable for electromagnetic analysis to complicated structure including the ML-SWS.
format	article
author	Zheng Wen Jirun Luo Wenqi Li
author_facet	Zheng Wen Jirun Luo Wenqi Li
author_sort	Zheng Wen
title	Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
title_short	Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
title_full	Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
title_fullStr	Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
title_full_unstemmed	Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure
title_sort	green’s functions of multi-layered plane media with arbitrary boundary conditions and its application on the analysis of the meander line slow-wave structure
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/db8ae4714356452a88ddf533fbe37ac3
work_keys_str_mv	AT zhengwen greensfunctionsofmultilayeredplanemediawitharbitraryboundaryconditionsanditsapplicationontheanalysisofthemeanderlineslowwavestructure AT jirunluo greensfunctionsofmultilayeredplanemediawitharbitraryboundaryconditionsanditsapplicationontheanalysisofthemeanderlineslowwavestructure AT wenqili greensfunctionsofmultilayeredplanemediawitharbitraryboundaryconditionsanditsapplicationontheanalysisofthemeanderlineslowwavestructure
_version_	1718434119091748864

Green’s Functions of Multi-Layered Plane Media with Arbitrary Boundary Conditions and Its Application on the Analysis of the Meander Line Slow-Wave Structure

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