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Symmetry 2018, 10(8), 307; https://doi.org/10.3390/sym10080307

On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures

1
Department of Applied Physics 1, ETS de Ingeniería Informática, Universidad de Sevilla, Av. Reina Mercedes s/n, 41012 Sevilla, Spain
2
Department of Electronics & Electromagetism; Facultad de Física, Universidad de Sevilla, Av. Reina Mercedes s/n, 41012 Sevilla, Spain
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 13 July 2018 / Revised: 26 July 2018 / Accepted: 27 July 2018 / Published: 1 August 2018
(This article belongs to the Special Issue Symmetry in Electromagnetism)
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Abstract

A critical discussion on the computation of the dispersion diagram of electromagnetic guiding/radiating structures with one-dimensional periodicity using general-purpose electromagnetic simulation software is presented in this work. In these methods, full-wave simulations of finite sections of the periodic structure are combined with appropriate simplifying network models. In particular, we analyze the advantages and limitations of two different combined methods, with emphasis on the determination of their range of validity. Our discussion is complemented with several selected numerical examples in order to show the most relevant aspects that a potential user of these methods should be aware of. Special attention is paid to the relevant role played by the high-order coupling between adjacent unit cells and between the two halves of unit cells exhibiting reflection, inversion, and glide symmetries. View Full-Text
Keywords: periodic structures; dispersion diagram; high-order coupling; glide symmetry periodic structures; dispersion diagram; high-order coupling; glide symmetry
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mesa, F.; Rodríguez-Berral, R.; Medina, F. On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures. Symmetry 2018, 10, 307.

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