On the dispersion relations for an inhomogeneous waveguide with attenuation

Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the...

Full description

Saved in:
Bibliographic Details
Published in:Mechanics of solids 2016-09, Vol.51 (5), p.576-582
Main Authors: Vatul’yan, A. O., Yurlov, V. O.
Format: Article
Language:English
Subjects:
Attenuation
Classical Mechanics
Differential equations
Inhomogeneity
Physics
Physics and Astronomy
Waveguides
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3
cites cdi_FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3
container_end_page 582
container_issue 5
container_start_page 576
container_title Mechanics of solids
container_volume 51
creator Vatul’yan, A. O.
Yurlov, V. O.
description Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.
doi_str_mv 10.3103/S0025654416050101
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1880771265</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1880771265</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3</originalsourceid><addsrcrecordid>eNp1kMFKAzEQhoMoWKsP4C3geXWSbJLdoxS1YqEH9bzE7KTd0iY1yVp8e7fWgyCeZmC-7x_4CblkcC0YiJtnAC6VLEumQAIDdkRGrBZloWuhjslofy7291NyltIKQAHnbESe5p7mJdK2S1uMqQueRlybPCyJuhCp8bTzy7AJC_QY-kR35gMXfdci3XV5SU3O6Ptv4ZycOLNOePEzx-T1_u5lMi1m84fHye2ssIKpXFSiZK0WIGvQspYChGO2MtYZLVtRaa5rNG8VmIpb3kphB8Q65RwXCNKiGJOrQ-42hvceU25WoY9-eNmwqgKtGVdyoNiBsjGkFNE129htTPxsGDT7zpo_nQ0OPzhpYP0C46_kf6UvXQFtYA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1880771265</pqid></control><display><type>article</type><title>On the dispersion relations for an inhomogeneous waveguide with attenuation</title><source>Springer Nature</source><creator>Vatul’yan, A. O. ; Yurlov, V. O.</creator><creatorcontrib>Vatul’yan, A. O. ; Yurlov, V. O.</creatorcontrib><description>Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.</description><identifier>ISSN: 0025-6544</identifier><identifier>EISSN: 1934-7936</identifier><identifier>DOI: 10.3103/S0025654416050101</identifier><language>eng</language><publisher>New York: Allerton Press</publisher><subject>Attenuation ; Classical Mechanics ; Differential equations ; Inhomogeneity ; Physics ; Physics and Astronomy ; Waveguides</subject><ispartof>Mechanics of solids, 2016-09, Vol.51 (5), p.576-582</ispartof><rights>Allerton Press, Inc. 2016</rights><rights>Copyright Springer Science &amp; Business Media 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3</citedby><cites>FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Vatul’yan, A. O.</creatorcontrib><creatorcontrib>Yurlov, V. O.</creatorcontrib><title>On the dispersion relations for an inhomogeneous waveguide with attenuation</title><title>Mechanics of solids</title><addtitle>Mech. Solids</addtitle><description>Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.</description><subject>Attenuation</subject><subject>Classical Mechanics</subject><subject>Differential equations</subject><subject>Inhomogeneity</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Waveguides</subject><issn>0025-6544</issn><issn>1934-7936</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kMFKAzEQhoMoWKsP4C3geXWSbJLdoxS1YqEH9bzE7KTd0iY1yVp8e7fWgyCeZmC-7x_4CblkcC0YiJtnAC6VLEumQAIDdkRGrBZloWuhjslofy7291NyltIKQAHnbESe5p7mJdK2S1uMqQueRlybPCyJuhCp8bTzy7AJC_QY-kR35gMXfdci3XV5SU3O6Ptv4ZycOLNOePEzx-T1_u5lMi1m84fHye2ssIKpXFSiZK0WIGvQspYChGO2MtYZLVtRaa5rNG8VmIpb3kphB8Q65RwXCNKiGJOrQ-42hvceU25WoY9-eNmwqgKtGVdyoNiBsjGkFNE129htTPxsGDT7zpo_nQ0OPzhpYP0C46_kf6UvXQFtYA</recordid><startdate>20160901</startdate><enddate>20160901</enddate><creator>Vatul’yan, A. O.</creator><creator>Yurlov, V. O.</creator><general>Allerton Press</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20160901</creationdate><title>On the dispersion relations for an inhomogeneous waveguide with attenuation</title><author>Vatul’yan, A. O. ; Yurlov, V. O.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Attenuation</topic><topic>Classical Mechanics</topic><topic>Differential equations</topic><topic>Inhomogeneity</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Waveguides</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vatul’yan, A. O.</creatorcontrib><creatorcontrib>Yurlov, V. O.</creatorcontrib><collection>CrossRef</collection><jtitle>Mechanics of solids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vatul’yan, A. O.</au><au>Yurlov, V. O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the dispersion relations for an inhomogeneous waveguide with attenuation</atitle><jtitle>Mechanics of solids</jtitle><stitle>Mech. Solids</stitle><date>2016-09-01</date><risdate>2016</risdate><volume>51</volume><issue>5</issue><spage>576</spage><epage>582</epage><pages>576-582</pages><issn>0025-6544</issn><eissn>1934-7936</eissn><abstract>Some general laws concerning the structure of dispersion relations for solid inhomogeneous waveguides with attenuation are studied. An approach based on the analysis of a first-order matrix differential equation is presented in the framework of the concept of complex moduli. Some laws concerning the structure of components of the dispersion set for a viscoelastic inhomogeneous cylindrical waveguide are studied analytically and numerically, and the asymptotics of components of the dispersion set are constructed for arbitrary inhomogeneity laws in the low-frequency region.</abstract><cop>New York</cop><pub>Allerton Press</pub><doi>10.3103/S0025654416050101</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0025-6544
ispartof Mechanics of solids, 2016-09, Vol.51 (5), p.576-582
issn 0025-6544
1934-7936
language eng
recordid cdi_proquest_journals_1880771265
source Springer Nature
subjects Attenuation
Classical Mechanics
Differential equations
Inhomogeneity
Physics
Physics and Astronomy
Waveguides
title On the dispersion relations for an inhomogeneous waveguide with attenuation
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-02T15%3A12%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20dispersion%20relations%20for%20an%20inhomogeneous%20waveguide%20with%20attenuation&rft.jtitle=Mechanics%20of%20solids&rft.au=Vatul%E2%80%99yan,%20A.%20O.&rft.date=2016-09-01&rft.volume=51&rft.issue=5&rft.spage=576&rft.epage=582&rft.pages=576-582&rft.issn=0025-6544&rft.eissn=1934-7936&rft_id=info:doi/10.3103/S0025654416050101&rft_dat=%3Cproquest_cross%3E1880771265%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c316t-8341d7305907595303f1c8acfa75d387279eab80a82c2d53c530cf6ff23e05ce3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1880771265&rft_id=info:pmid/&rfr_iscdi=true