Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 13 July 2018 / Approved: 16 July 2018 / Online: 16 July 2018 (08:36:58 CEST)

A peer-reviewed article of this Preprint also exists.

Mesa, F.; Rodríguez-Berral, R.; Medina, F. On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures. Symmetry 2018, 10, 307. Mesa, F.; Rodríguez-Berral, R.; Medina, F. On the Computation of the Dispersion Diagram of Symmetric One-Dimensionally Periodic Structures. Symmetry 2018, 10, 307.

Journal reference: Symmetry 2018, 10, 307
DOI: 10.3390/sym10080307

Abstract

A critical discussion on the computation of the dispersion diagram in periodic one-dimensional guiding structures is carried out. In particular, an analysis is presented of the pros and cons of combined methods that make use of full-wave simulations done with commercial software packages with further analytical post-processing based on simplifications brought by an equivalent circuit model of the structure. Some of the most common methods reported in the literature are reviewed and their advantanges and limitations highlighted. Our discussion is complemented with several selected numerical examples in order to discuss 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 the two halves of a symmetric unit cell of the periodic structure.

Subject Areas

periodic structures; dipersion relation; high-order coupling; glide symmetry

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