Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma

A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential equations, which are algebraized by identifying collo...

Full description

Saved in:
Bibliographic Details
Published in:Journal of communications technology & electronics 2019-11, Vol.64 (11), p.1188-1195
Main Authors: Raevskii, A. S., Raevskii, S. B., Sedakov, A. Yu, Titarenko, A. A.
Format: Article
Language:English
Subjects:
Analysis
Boundary value problems
Collocation
Communications Engineering
Differential equations
Electrodynamics and Wave Propagation
Engineering
Integral equations
Methods
Networks
Waveguides
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c378t-b89186871ad5e0b0e951a07bffd5fcc604f2fad8b090786b6c530c9721721ba93
container_end_page 1195
container_issue 11
container_start_page 1188
container_title Journal of communications technology & electronics
container_volume 64
creator Raevskii, A. S.
Raevskii, S. B.
Sedakov, A. Yu
Titarenko, A. A.
description A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential equations, which are algebraized by identifying collocation points with the points of localization of auxiliary sources.
doi_str_mv 10.1134/S1064226919110226
format article
fullrecord <record><control><sourceid>gale_proqu</sourceid><recordid>TN_cdi_proquest_journals_2315543755</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A606209774</galeid><sourcerecordid>A606209774</sourcerecordid><originalsourceid>FETCH-LOGICAL-c378t-b89186871ad5e0b0e951a07bffd5fcc604f2fad8b090786b6c530c9721721ba93</originalsourceid><addsrcrecordid>eNp1kdtq3DAQhk1JoDn0AXon6FWhTiXbkqzLsGzShS2FHMilkeWR18ErZSU5JHn6zuJCu5QgoRnNfP8IzWTZZ0YvGCur77eMiqoohGKKMYrOh-yEcc5zwbk8Qh_T-T7_MTuN8ZHSUglanmR65RL0QY9kuZt0GrwjPyFtfEesD2ShRzONGHY9WYUAPV4CedDP6A0dRHIf96m0AXINDrDM8AYdWfsALr2RNWy3-jw7tnqM8OmPPcvur5Z3ix_5-tf1anG5zk0p65S3tWK1qCXTHQfaUlCcaSpbaztujRG0soXVXd1SRWUtWmF4SY2SBcPdalWeZV_muk_B7yaIqXn0U3D4ZFOU2IqqlJwjdTFTvR6hGZz1KWiDq4PtYLwDO2D8UlBRUCVlhYKvBwJkErykXk8xNqvbm0P22z9sO2FzIOIRh36T4iw5wNmMm-BjDGCbpzBsdXhtGG32U23-mypqilkTkXU9hL-_fF_0G5izok8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2315543755</pqid></control><display><type>article</type><title>Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma</title><source>Springer Nature</source><creator>Raevskii, A. S. ; Raevskii, S. B. ; Sedakov, A. Yu ; Titarenko, A. A.</creator><creatorcontrib>Raevskii, A. S. ; Raevskii, S. B. ; Sedakov, A. Yu ; Titarenko, A. A.</creatorcontrib><description>A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential equations, which are algebraized by identifying collocation points with the points of localization of auxiliary sources.</description><identifier>ISSN: 1064-2269</identifier><identifier>EISSN: 1555-6557</identifier><identifier>DOI: 10.1134/S1064226919110226</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Analysis ; Boundary value problems ; Collocation ; Communications Engineering ; Differential equations ; Electrodynamics and Wave Propagation ; Engineering ; Integral equations ; Methods ; Networks ; Waveguides</subject><ispartof>Journal of communications technology &amp; electronics, 2019-11, Vol.64 (11), p.1188-1195</ispartof><rights>Pleiades Publishing, Inc. 2019</rights><rights>COPYRIGHT 2019 Springer</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c378t-b89186871ad5e0b0e951a07bffd5fcc604f2fad8b090786b6c530c9721721ba93</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>Raevskii, A. S.</creatorcontrib><creatorcontrib>Raevskii, S. B.</creatorcontrib><creatorcontrib>Sedakov, A. Yu</creatorcontrib><creatorcontrib>Titarenko, A. A.</creatorcontrib><title>Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma</title><title>Journal of communications technology &amp; electronics</title><addtitle>J. Commun. Technol. Electron</addtitle><description>A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential equations, which are algebraized by identifying collocation points with the points of localization of auxiliary sources.</description><subject>Analysis</subject><subject>Boundary value problems</subject><subject>Collocation</subject><subject>Communications Engineering</subject><subject>Differential equations</subject><subject>Electrodynamics and Wave Propagation</subject><subject>Engineering</subject><subject>Integral equations</subject><subject>Methods</subject><subject>Networks</subject><subject>Waveguides</subject><issn>1064-2269</issn><issn>1555-6557</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kdtq3DAQhk1JoDn0AXon6FWhTiXbkqzLsGzShS2FHMilkeWR18ErZSU5JHn6zuJCu5QgoRnNfP8IzWTZZ0YvGCur77eMiqoohGKKMYrOh-yEcc5zwbk8Qh_T-T7_MTuN8ZHSUglanmR65RL0QY9kuZt0GrwjPyFtfEesD2ShRzONGHY9WYUAPV4CedDP6A0dRHIf96m0AXINDrDM8AYdWfsALr2RNWy3-jw7tnqM8OmPPcvur5Z3ix_5-tf1anG5zk0p65S3tWK1qCXTHQfaUlCcaSpbaztujRG0soXVXd1SRWUtWmF4SY2SBcPdalWeZV_muk_B7yaIqXn0U3D4ZFOU2IqqlJwjdTFTvR6hGZz1KWiDq4PtYLwDO2D8UlBRUCVlhYKvBwJkErykXk8xNqvbm0P22z9sO2FzIOIRh36T4iw5wNmMm-BjDGCbpzBsdXhtGG32U23-mypqilkTkXU9hL-_fF_0G5izok8</recordid><startdate>20191101</startdate><enddate>20191101</enddate><creator>Raevskii, A. S.</creator><creator>Raevskii, S. B.</creator><creator>Sedakov, A. Yu</creator><creator>Titarenko, A. A.</creator><general>Pleiades Publishing</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>N95</scope><scope>XI7</scope><scope>ISR</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20191101</creationdate><title>Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma</title><author>Raevskii, A. S. ; Raevskii, S. B. ; Sedakov, A. Yu ; Titarenko, A. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-b89186871ad5e0b0e951a07bffd5fcc604f2fad8b090786b6c530c9721721ba93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Analysis</topic><topic>Boundary value problems</topic><topic>Collocation</topic><topic>Communications Engineering</topic><topic>Differential equations</topic><topic>Electrodynamics and Wave Propagation</topic><topic>Engineering</topic><topic>Integral equations</topic><topic>Methods</topic><topic>Networks</topic><topic>Waveguides</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Raevskii, A. S.</creatorcontrib><creatorcontrib>Raevskii, S. B.</creatorcontrib><creatorcontrib>Sedakov, A. Yu</creatorcontrib><creatorcontrib>Titarenko, A. A.</creatorcontrib><collection>CrossRef</collection><collection>Gale Business Insights</collection><collection>Business Insights: Essentials</collection><collection>Gale In Context: Science</collection><collection>Electronics &amp; Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of communications technology &amp; electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Raevskii, A. S.</au><au>Raevskii, S. B.</au><au>Sedakov, A. Yu</au><au>Titarenko, A. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma</atitle><jtitle>Journal of communications technology &amp; electronics</jtitle><stitle>J. Commun. Technol. Electron</stitle><date>2019-11-01</date><risdate>2019</risdate><volume>64</volume><issue>11</issue><spage>1188</spage><epage>1195</epage><pages>1188-1195</pages><issn>1064-2269</issn><eissn>1555-6557</eissn><abstract>A method for solving boundary value problems for irregular waveguides that combines the generalized Lorentz lemma with a collocation technique is proposed. The method allows one to reduce boundary value problems to systems of integro-differential equations, which are algebraized by identifying collocation points with the points of localization of auxiliary sources.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1064226919110226</doi><tpages>8</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1064-2269
ispartof Journal of communications technology & electronics, 2019-11, Vol.64 (11), p.1188-1195
issn 1064-2269
1555-6557
language eng
recordid cdi_proquest_journals_2315543755
source Springer Nature
subjects Analysis
Boundary value problems
Collocation
Communications Engineering
Differential equations
Electrodynamics and Wave Propagation
Engineering
Integral equations
Methods
Networks
Waveguides
title Integral Equation Method for Calculating Irregular Waveguides Using the Generalized Lorentz Lemma
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-01T18%3A09%3A40IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Integral%20Equation%20Method%20for%20Calculating%20Irregular%20Waveguides%20Using%20the%20Generalized%20Lorentz%20Lemma&rft.jtitle=Journal%20of%20communications%20technology%20&%20electronics&rft.au=Raevskii,%20A.%20S.&rft.date=2019-11-01&rft.volume=64&rft.issue=11&rft.spage=1188&rft.epage=1195&rft.pages=1188-1195&rft.issn=1064-2269&rft.eissn=1555-6557&rft_id=info:doi/10.1134/S1064226919110226&rft_dat=%3Cgale_proqu%3EA606209774%3C/gale_proqu%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c378t-b89186871ad5e0b0e951a07bffd5fcc604f2fad8b090786b6c530c9721721ba93%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2315543755&rft_id=info:pmid/&rft_galeid=A606209774&rfr_iscdi=true