Wave propagation in periodic fluid-solid layered media
Dispersion equation is derived for the Floquet waves in a horizontal periodically layered fluid-solid medium. It is shown that the dispersion equation consists of four factors. This representation explains the splitting of parameters (frequency, horizontal slowness) in passing and stop bands. The Fl...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
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S. Subbotin Institute of Geophysics of the NAS of Ukraine
2016
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| Online Access: | https://journals.uran.ua/geofizicheskiy/article/view/91877 |
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| Journal Title: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| _version_ | 1856543112077246464 |
|---|---|
| author | Roganov, Yu.V. Roganov, V.Yu. |
| author_facet | Roganov, Yu.V. Roganov, V.Yu. |
| author_sort | Roganov, Yu.V. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:18:21Z |
| description | Dispersion equation is derived for the Floquet waves in a horizontal periodically layered fluid-solid medium. It is shown that the dispersion equation consists of four factors. This representation explains the splitting of parameters (frequency, horizontal slowness) in passing and stop bands. The Floquet waves with horizontal group velocity can be computed individually from each of these factors. The properties of horizontally propagated waves are considered. The equations for the ratios of the components of polarization vectors and the amplitudes of partial waves are derived. Proposed theory is illustrated in one numerical example |
| first_indexed | 2025-07-17T11:04:36Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-91877 |
| institution | Geofizicheskiy Zhurnal |
| language | Russian |
| last_indexed | 2025-07-17T11:04:36Z |
| publishDate | 2016 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| record_format | ojs |
| spelling | journalsuranua-geofizicheskiy-article-918772020-10-07T11:18:21Z Wave propagation in periodic fluid-solid layered media Roganov, Yu.V. Roganov, V.Yu. periodic fluid-solid medium dispersion equation Floquet wave slowness curve velocity indicatrix Dispersion equation is derived for the Floquet waves in a horizontal periodically layered fluid-solid medium. It is shown that the dispersion equation consists of four factors. This representation explains the splitting of parameters (frequency, horizontal slowness) in passing and stop bands. The Floquet waves with horizontal group velocity can be computed individually from each of these factors. The properties of horizontally propagated waves are considered. The equations for the ratios of the components of polarization vectors and the amplitudes of partial waves are derived. Proposed theory is illustrated in one numerical example S. Subbotin Institute of Geophysics of the NAS of Ukraine 2016-12-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/91877 10.24028/gzh.0203-3100.v38i6.2016.91877 Geofizicheskiy Zhurnal; Vol. 38 No. 6 (2016); 101-117 Геофизический журнал; Том 38 № 6 (2016); 101-117 Геофізичний журнал; Том 38 № 6 (2016); 101-117 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/91877/87650 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | periodic fluid-solid medium dispersion equation Floquet wave slowness curve velocity indicatrix Roganov, Yu.V. Roganov, V.Yu. Wave propagation in periodic fluid-solid layered media |
| title | Wave propagation in periodic fluid-solid layered media |
| title_full | Wave propagation in periodic fluid-solid layered media |
| title_fullStr | Wave propagation in periodic fluid-solid layered media |
| title_full_unstemmed | Wave propagation in periodic fluid-solid layered media |
| title_short | Wave propagation in periodic fluid-solid layered media |
| title_sort | wave propagation in periodic fluid-solid layered media |
| topic | periodic fluid-solid medium dispersion equation Floquet wave slowness curve velocity indicatrix |
| topic_facet | periodic fluid-solid medium dispersion equation Floquet wave slowness curve velocity indicatrix |
| url | https://journals.uran.ua/geofizicheskiy/article/view/91877 |
| work_keys_str_mv | AT roganovyuv wavepropagationinperiodicfluidsolidlayeredmedia AT roganovvyu wavepropagationinperiodicfluidsolidlayeredmedia |