A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures

We propose a systematic and efficient extension of the multimodal transfer-matrix method to obtain the dispersion diagram of structures with 2-D periodicity specifically targeted to primitive unit cells that possess internal symmetries. When symmetry planes can be applied, the study of the unit cell...

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Detalles Bibliográficos
Autores: Jiménez Suárez, Jesús María, Mesa Ledesma, Francisco Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/174713
Acceso en línea:https://hdl.handle.net/11441/174713
https://doi.org/10.1109/TMTT.2025.3554934
Access Level:acceso abierto
Palabra clave:Dispersion analysis
Hexagonal lattice
Multimodal analysis
Periodic structure
Scattering matrix
Symmetry planes
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spelling A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structuresJiménez Suárez, Jesús MaríaMesa Ledesma, Francisco LuisDispersion analysisHexagonal latticeMultimodal analysisPeriodic structureScattering matrixSymmetry planesWe propose a systematic and efficient extension of the multimodal transfer-matrix method to obtain the dispersion diagram of structures with 2-D periodicity specifically targeted to primitive unit cells that possess internal symmetries. When symmetry planes can be applied, the study of the unit cell can be simplified to a number of 1D-periodic scenarios that depend on the boundary conditions imposed by the symmetry planes. The study of these 1D-periodic scenarios is simpler, more accurate, and requires less computational cost. The proposed methodology has been validated with different examples of periodic structures with different lattices (squared, rectangular, and hexagonal), symmetries, and motifs. Furthermore, this approach brings about a deeper understanding of the study of the Brillouin zone (BZ) and the relationship between phase shift and paths on its irreducible Brillouin zone (IBZ).Institute of Electrical and Electronics EngineersFísica Aplicada IHorizon Europe Research and Innovation Program2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/174713https://doi.org/10.1109/TMTT.2025.3554934reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésIEEE Transactions on Microwave Theory and Techniques.101072560MICIU/AEI/10.13039/501100011033PID2023-148281NB-I00https://ieeexplore.ieee.org/document/10980079info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1747132026-06-17T12:51:07Z
dc.title.none.fl_str_mv A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
title A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
spellingShingle A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
Jiménez Suárez, Jesús María
Dispersion analysis
Hexagonal lattice
Multimodal analysis
Periodic structure
Scattering matrix
Symmetry planes
title_short A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
title_full A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
title_fullStr A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
title_full_unstemmed A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
title_sort A symmetry-based multimodal transfer-matrix method for the analysis of 2D-periodic structures
dc.creator.none.fl_str_mv Jiménez Suárez, Jesús María
Mesa Ledesma, Francisco Luis
author Jiménez Suárez, Jesús María
author_facet Jiménez Suárez, Jesús María
Mesa Ledesma, Francisco Luis
author_role author
author2 Mesa Ledesma, Francisco Luis
author2_role author
dc.contributor.none.fl_str_mv Física Aplicada I
Horizon Europe Research and Innovation Program
dc.subject.none.fl_str_mv Dispersion analysis
Hexagonal lattice
Multimodal analysis
Periodic structure
Scattering matrix
Symmetry planes
topic Dispersion analysis
Hexagonal lattice
Multimodal analysis
Periodic structure
Scattering matrix
Symmetry planes
description We propose a systematic and efficient extension of the multimodal transfer-matrix method to obtain the dispersion diagram of structures with 2-D periodicity specifically targeted to primitive unit cells that possess internal symmetries. When symmetry planes can be applied, the study of the unit cell can be simplified to a number of 1D-periodic scenarios that depend on the boundary conditions imposed by the symmetry planes. The study of these 1D-periodic scenarios is simpler, more accurate, and requires less computational cost. The proposed methodology has been validated with different examples of periodic structures with different lattices (squared, rectangular, and hexagonal), symmetries, and motifs. Furthermore, this approach brings about a deeper understanding of the study of the Brillouin zone (BZ) and the relationship between phase shift and paths on its irreducible Brillouin zone (IBZ).
publishDate 2025
dc.date.none.fl_str_mv 2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/174713
https://doi.org/10.1109/TMTT.2025.3554934
url https://hdl.handle.net/11441/174713
https://doi.org/10.1109/TMTT.2025.3554934
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv IEEE Transactions on Microwave Theory and Techniques.
101072560
MICIU/AEI/10.13039/501100011033
PID2023-148281NB-I00
https://ieeexplore.ieee.org/document/10980079
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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