Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions
Analytical expressions for calculating the tensor of the effective permittivity of a matrix-type heterogeneous medium with inclusions of random ellipsoidal shape, which are a small deviation from the average spheroidal shape, are obtained. The orientations of the inclusions are probabilistically dis...
Gespeichert in:
| Veröffentlicht in: | Semiconductors (Woodbury, N.Y.) N.Y.), 2015-12, Vol.49 (13), p.1718-1726 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1726 |
|---|---|
| container_issue | 13 |
| container_start_page | 1718 |
| container_title | Semiconductors (Woodbury, N.Y.) |
| container_volume | 49 |
| creator | Zavgorodnyaya, M. I. Lavrov, I. V. Fokin, A. G. |
| description | Analytical expressions for calculating the tensor of the effective permittivity of a matrix-type heterogeneous medium with inclusions of random ellipsoidal shape, which are a small deviation from the average spheroidal shape, are obtained. The orientations of the inclusions are probabilistically distributed; rotation group representations are used for their consideration. It is shown that the developed method is a generalization of the Maxwell–Garnett approximation for the given medium type. Based on this method, the frequency- induced dielectric properties of porous silicon are simulated in the range of 10
3
–10
8
Hz. |
| doi_str_mv | 10.1134/S1063782615130163 |
| format | Article |
| fullrecord | <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A444819247</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A444819247</galeid><sourcerecordid>A444819247</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-ab566819313dbbe0dafcd5aabab4d0346eb44d38333b7d8d4d440ad8fd8f5fa63</originalsourceid><addsrcrecordid>eNp9kc1OwzAMxysEEmPwANzyAh3JkqbdcZr4kiZxAM6Vmzhrpi6ZkhTYU_DKZBo3JBRLseP_z5bjorhldMYYF3evjEpeN3PJKsYpk_ysmDC6oKUU9eL86EteHvOXxVWMW0oZayoxKb6XDoZDsgoGAvt98KB6kjzJsRoHSNZtSOqRoDGokv1Aoi0O2Q1WEdVDAJUw2JgrROIN6TGHfoMO_RhJwq80BtRkB0cVDJF82tSTAE773XAgsYd9TlunhjFa7-J1cWGyDG9-72nx_nD_tnoq1y-Pz6vlulR8XqcSukrKhi0447rrkGowSlcAHXRCUy4kdkJo3nDOu1o3WmghKOjGZKsMSD4tZqe6Gxiwtc74lEfJR-POKu_Q2Py-FELkLnNRZ4CdABV8jAFNuw92B-HQMtoeV9D-WUFm5icmZq3bYGi3fgz5w-M_0A9wHI30</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions</title><source>Springer Nature - Complete Springer Journals</source><creator>Zavgorodnyaya, M. I. ; Lavrov, I. V. ; Fokin, A. G.</creator><creatorcontrib>Zavgorodnyaya, M. I. ; Lavrov, I. V. ; Fokin, A. G.</creatorcontrib><description>Analytical expressions for calculating the tensor of the effective permittivity of a matrix-type heterogeneous medium with inclusions of random ellipsoidal shape, which are a small deviation from the average spheroidal shape, are obtained. The orientations of the inclusions are probabilistically distributed; rotation group representations are used for their consideration. It is shown that the developed method is a generalization of the Maxwell–Garnett approximation for the given medium type. Based on this method, the frequency- induced dielectric properties of porous silicon are simulated in the range of 10
3
–10
8
Hz.</description><identifier>ISSN: 1063-7826</identifier><identifier>EISSN: 1090-6479</identifier><identifier>DOI: 10.1134/S1063782615130163</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Dielectric materials ; Electrical conductivity ; Magnetic Materials ; Magnetism ; Materials for Electronic Engineering ; Physics ; Physics and Astronomy</subject><ispartof>Semiconductors (Woodbury, N.Y.), 2015-12, Vol.49 (13), p.1718-1726</ispartof><rights>Pleiades Publishing, Ltd. 2015</rights><rights>COPYRIGHT 2015 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-ab566819313dbbe0dafcd5aabab4d0346eb44d38333b7d8d4d440ad8fd8f5fa63</citedby><cites>FETCH-LOGICAL-c327t-ab566819313dbbe0dafcd5aabab4d0346eb44d38333b7d8d4d440ad8fd8f5fa63</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063782615130163$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063782615130163$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Zavgorodnyaya, M. I.</creatorcontrib><creatorcontrib>Lavrov, I. V.</creatorcontrib><creatorcontrib>Fokin, A. G.</creatorcontrib><title>Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions</title><title>Semiconductors (Woodbury, N.Y.)</title><addtitle>Semiconductors</addtitle><description>Analytical expressions for calculating the tensor of the effective permittivity of a matrix-type heterogeneous medium with inclusions of random ellipsoidal shape, which are a small deviation from the average spheroidal shape, are obtained. The orientations of the inclusions are probabilistically distributed; rotation group representations are used for their consideration. It is shown that the developed method is a generalization of the Maxwell–Garnett approximation for the given medium type. Based on this method, the frequency- induced dielectric properties of porous silicon are simulated in the range of 10
3
–10
8
Hz.</description><subject>Dielectric materials</subject><subject>Electrical conductivity</subject><subject>Magnetic Materials</subject><subject>Magnetism</subject><subject>Materials for Electronic Engineering</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>1063-7826</issn><issn>1090-6479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kc1OwzAMxysEEmPwANzyAh3JkqbdcZr4kiZxAM6Vmzhrpi6ZkhTYU_DKZBo3JBRLseP_z5bjorhldMYYF3evjEpeN3PJKsYpk_ysmDC6oKUU9eL86EteHvOXxVWMW0oZayoxKb6XDoZDsgoGAvt98KB6kjzJsRoHSNZtSOqRoDGokv1Aoi0O2Q1WEdVDAJUw2JgrROIN6TGHfoMO_RhJwq80BtRkB0cVDJF82tSTAE773XAgsYd9TlunhjFa7-J1cWGyDG9-72nx_nD_tnoq1y-Pz6vlulR8XqcSukrKhi0447rrkGowSlcAHXRCUy4kdkJo3nDOu1o3WmghKOjGZKsMSD4tZqe6Gxiwtc74lEfJR-POKu_Q2Py-FELkLnNRZ4CdABV8jAFNuw92B-HQMtoeV9D-WUFm5icmZq3bYGi3fgz5w-M_0A9wHI30</recordid><startdate>20151201</startdate><enddate>20151201</enddate><creator>Zavgorodnyaya, M. I.</creator><creator>Lavrov, I. V.</creator><creator>Fokin, A. G.</creator><general>Pleiades Publishing</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20151201</creationdate><title>Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions</title><author>Zavgorodnyaya, M. I. ; Lavrov, I. V. ; Fokin, A. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-ab566819313dbbe0dafcd5aabab4d0346eb44d38333b7d8d4d440ad8fd8f5fa63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Dielectric materials</topic><topic>Electrical conductivity</topic><topic>Magnetic Materials</topic><topic>Magnetism</topic><topic>Materials for Electronic Engineering</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zavgorodnyaya, M. I.</creatorcontrib><creatorcontrib>Lavrov, I. V.</creatorcontrib><creatorcontrib>Fokin, A. G.</creatorcontrib><collection>CrossRef</collection><jtitle>Semiconductors (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zavgorodnyaya, M. I.</au><au>Lavrov, I. V.</au><au>Fokin, A. G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions</atitle><jtitle>Semiconductors (Woodbury, N.Y.)</jtitle><stitle>Semiconductors</stitle><date>2015-12-01</date><risdate>2015</risdate><volume>49</volume><issue>13</issue><spage>1718</spage><epage>1726</epage><pages>1718-1726</pages><issn>1063-7826</issn><eissn>1090-6479</eissn><abstract>Analytical expressions for calculating the tensor of the effective permittivity of a matrix-type heterogeneous medium with inclusions of random ellipsoidal shape, which are a small deviation from the average spheroidal shape, are obtained. The orientations of the inclusions are probabilistically distributed; rotation group representations are used for their consideration. It is shown that the developed method is a generalization of the Maxwell–Garnett approximation for the given medium type. Based on this method, the frequency- induced dielectric properties of porous silicon are simulated in the range of 10
3
–10
8
Hz.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063782615130163</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1063-7826 |
| ispartof | Semiconductors (Woodbury, N.Y.), 2015-12, Vol.49 (13), p.1718-1726 |
| issn | 1063-7826 1090-6479 |
| language | eng |
| recordid | cdi_gale_infotracacademiconefile_A444819247 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Dielectric materials Electrical conductivity Magnetic Materials Magnetism Materials for Electronic Engineering Physics Physics and Astronomy |
| title | Analytical approach to calculating the effective dielectric characteristics of heterogeneous textured materials with randomly shaped inclusions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T11%3A04%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analytical%20approach%20to%20calculating%20the%20effective%20dielectric%20characteristics%20of%20heterogeneous%20textured%20materials%20with%20randomly%20shaped%20inclusions&rft.jtitle=Semiconductors%20(Woodbury,%20N.Y.)&rft.au=Zavgorodnyaya,%20M.%20I.&rft.date=2015-12-01&rft.volume=49&rft.issue=13&rft.spage=1718&rft.epage=1726&rft.pages=1718-1726&rft.issn=1063-7826&rft.eissn=1090-6479&rft_id=info:doi/10.1134/S1063782615130163&rft_dat=%3Cgale_cross%3EA444819247%3C/gale_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A444819247&rfr_iscdi=true |