Improved transfer matrix method without numerical instability
A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of homogeneou...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2008-12 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Yin, Huiqiong Tao, Ruibao |
| description | A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of homogeneous scattering region becomes large. The comparison between the scattering matrix method(SMM) and our new TMM is given. It clearly shows that our new method is much faster than SMM. |
| doi_str_mv | 10.48550/arxiv.0709.3681 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_0709_3681</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2089944134</sourcerecordid><originalsourceid>FETCH-LOGICAL-a514-836db475439ba2a5c3a2b6deee92c84dd435337e8681f1b37c0d71c11b756ade3</originalsourceid><addsrcrecordid>eNotj0FLwzAYhoMgOObunqTguTXJlzTpwYMMdYOBl93LlybFjLabSTq3f2_nPL2Xh5fnIeSB0UJoKekzhpM_FlTRqoBSsxsy4wAs14LzO7KIcUcp5aXiUsKMvKz7Q9gfnc1SwCG2LmQ9puBPWe_S195mP36aMWXD2LvgG-wyP8SExnc-ne_JbYtddIv_nZPt-9t2uco3nx_r5esmR8lErqG0RigpoDLIUTaA3JTWOVfxRgtrBUgA5fRk2zIDqqFWsYYxo2SJ1sGcPF5v_9LqQ_A9hnN9SawviRPwdAWmlu_RxVTv9mMYJqWaU11VQjAQ8AskA1R3</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2089944134</pqid></control><display><type>article</type><title>Improved transfer matrix method without numerical instability</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Yin, Huiqiong ; Tao, Ruibao</creator><creatorcontrib>Yin, Huiqiong ; Tao, Ruibao</creatorcontrib><description>A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of homogeneous scattering region becomes large. The comparison between the scattering matrix method(SMM) and our new TMM is given. It clearly shows that our new method is much faster than SMM.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0709.3681</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Computing costs ; Computing time ; Physics - Mesoscale and Nanoscale Physics ; Scattering ; Stability</subject><ispartof>arXiv.org, 2008-12</ispartof><rights>2008. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,781,882,27906</link.rule.ids><backlink>$$Uhttps://doi.org/10.1209/0295-5075/84/57006$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.0709.3681$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Yin, Huiqiong</creatorcontrib><creatorcontrib>Tao, Ruibao</creatorcontrib><title>Improved transfer matrix method without numerical instability</title><title>arXiv.org</title><description>A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of homogeneous scattering region becomes large. The comparison between the scattering matrix method(SMM) and our new TMM is given. It clearly shows that our new method is much faster than SMM.</description><subject>Computing costs</subject><subject>Computing time</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Scattering</subject><subject>Stability</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0FLwzAYhoMgOObunqTguTXJlzTpwYMMdYOBl93LlybFjLabSTq3f2_nPL2Xh5fnIeSB0UJoKekzhpM_FlTRqoBSsxsy4wAs14LzO7KIcUcp5aXiUsKMvKz7Q9gfnc1SwCG2LmQ9puBPWe_S195mP36aMWXD2LvgG-wyP8SExnc-ne_JbYtddIv_nZPt-9t2uco3nx_r5esmR8lErqG0RigpoDLIUTaA3JTWOVfxRgtrBUgA5fRk2zIDqqFWsYYxo2SJ1sGcPF5v_9LqQ_A9hnN9SawviRPwdAWmlu_RxVTv9mMYJqWaU11VQjAQ8AskA1R3</recordid><startdate>20081229</startdate><enddate>20081229</enddate><creator>Yin, Huiqiong</creator><creator>Tao, Ruibao</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20081229</creationdate><title>Improved transfer matrix method without numerical instability</title><author>Yin, Huiqiong ; Tao, Ruibao</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a514-836db475439ba2a5c3a2b6deee92c84dd435337e8681f1b37c0d71c11b756ade3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Computing costs</topic><topic>Computing time</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Scattering</topic><topic>Stability</topic><toplevel>online_resources</toplevel><creatorcontrib>Yin, Huiqiong</creatorcontrib><creatorcontrib>Tao, Ruibao</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yin, Huiqiong</au><au>Tao, Ruibao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Improved transfer matrix method without numerical instability</atitle><jtitle>arXiv.org</jtitle><date>2008-12-29</date><risdate>2008</risdate><eissn>2331-8422</eissn><abstract>A new improved transfer matrix method (TMM) is presented. It is shown that the method not only overcomes the numerical instability found in the original TMM, but also greatly improves the scalability of computation. The new improved TMM has no extra cost of computing time as the length of homogeneous scattering region becomes large. The comparison between the scattering matrix method(SMM) and our new TMM is given. It clearly shows that our new method is much faster than SMM.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0709.3681</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2008-12 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_0709_3681 |
| source | arXiv.org; Free E- Journals |
| subjects | Computing costs Computing time Physics - Mesoscale and Nanoscale Physics Scattering Stability |
| title | Improved transfer matrix method without numerical instability |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T17%3A44%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Improved%20transfer%20matrix%20method%20without%20numerical%20instability&rft.jtitle=arXiv.org&rft.au=Yin,%20Huiqiong&rft.date=2008-12-29&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0709.3681&rft_dat=%3Cproquest_arxiv%3E2089944134%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2089944134&rft_id=info:pmid/&rfr_iscdi=true |