On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates

A. Hvatov; S. Sorokin

doi:10.1007/978-3-031-15758-5_73

On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates

^*Corresponding author for this work

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

1 Citation (Scopus)

Abstract

A modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates. For homogeneous waveguides, it substantiates the application of a Wave Finite Element Method in polar coordinates. For radially periodic waveguides, it facilitates the application of conventional (i.e., used in Cartesian coordinates) criterion to identify frequency-wise positions of pass- and stop-bands. The application of the proposed methodology is illustrated by a simple example of a wave propagation problem governed by the Helmholtz equation (a dilatation wave in a membrane).

Original language	English
Title of host publication	Recent Trends in Wave Mechanics and Vibrations : Proceedings of WMVC 2022
Editors	Zuzana Dimitrovová, Rodrigo Gonçalves, Zuzana Dimitrovová, Paritosh Biswas, Tiago Silva
Number of pages	12
Publisher	Springer
Publication date	2023
Pages	713-724
ISBN (Print)	978-3-031-15757-8, 978-3-031-15760-8
ISBN (Electronic)	978-3-031-15758-5
DOIs	https://doi.org/10.1007/978-3-031-15758-5_73
Publication status	Published - 2023
Event	10th International Conference on Wave Mechanics and Vibrations, WMVC 2022 - Lisbon, Portugal Duration: 4 Jul 2022 → 6 Jul 2022

Conference

Conference	10th International Conference on Wave Mechanics and Vibrations, WMVC 2022
Country/Territory	Portugal
City	Lisbon
Period	04/07/2022 → 06/07/2022

Series	Mechanisms and Machine Science
Volume	125 MMS
ISSN	2211-0984

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Keywords

Floquet propagator
Periodic structures
Polar coordinates
WFEM

Access to Document

10.1007/978-3-031-15758-5_73

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Cite this

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title = "On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates",

abstract = "A modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates. For homogeneous waveguides, it substantiates the application of a Wave Finite Element Method in polar coordinates. For radially periodic waveguides, it facilitates the application of conventional (i.e., used in Cartesian coordinates) criterion to identify frequency-wise positions of pass- and stop-bands. The application of the proposed methodology is illustrated by a simple example of a wave propagation problem governed by the Helmholtz equation (a dilatation wave in a membrane).",

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author = "A. Hvatov and S. Sorokin",

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editor = "Zuzana Dimitrovov{\'a} and Rodrigo Gon{\c c}alves and Zuzana Dimitrovov{\'a} and Paritosh Biswas and Tiago Silva",

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Hvatov, A & Sorokin, S 2023, On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates. in Z Dimitrovová, R Gonçalves, Z Dimitrovová, P Biswas & T Silva (eds), Recent Trends in Wave Mechanics and Vibrations: Proceedings of WMVC 2022. Springer, Mechanisms and Machine Science, vol. 125 MMS, pp. 713-724, 10th International Conference on Wave Mechanics and Vibrations, WMVC 2022, Lisbon, Portugal, 04/07/2022. https://doi.org/10.1007/978-3-031-15758-5_73

On Unified Formulation of Floquet Propagator in Cartesian and Polar Coordinates. / Hvatov, A.; Sorokin, S.
Recent Trends in Wave Mechanics and Vibrations: Proceedings of WMVC 2022. ed. / Zuzana Dimitrovová; Rodrigo Gonçalves; Zuzana Dimitrovová; Paritosh Biswas; Tiago Silva. Springer, 2023. p. 713-724 (Mechanisms and Machine Science, Vol. 125 MMS).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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