Rough Conductor Modeling Through State-Space Formulation
Based on the state-space formulation, the exact analytical solution of the magnetic-field distribution inside a rough conductor trace is presented. The infinite Dyson's series, a well-known tool for describing the interaction picture of a quantum system in the field of quantum electrodynamics (...
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| Veröffentlicht in: | IEEE transactions on microwave theory and techniques 2019-12, Vol.67 (12), p.4656-4664 |
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| container_issue | 12 |
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| container_title | IEEE transactions on microwave theory and techniques |
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| creator | Abdolhamidi, Mostafa Mohammad-Taheri, Mahmoud |
| description | Based on the state-space formulation, the exact analytical solution of the magnetic-field distribution inside a rough conductor trace is presented. The infinite Dyson's series, a well-known tool for describing the interaction picture of a quantum system in the field of quantum electrodynamics (QED), is used to derive the magnetic-field evolution inside a rough conductor, starting from the conductor rough surface up to a far distance inside the conductor or equivalently a mathematical infinity. Validity of the obtained values from the first-, second-, and third-order approximations of the proposed series is proven by comparing with very recent research works. In addition, based on the first-order approximation, a very compact matrix identity is presented for the calculation of the state-space evolution matrix. The obtained values of the rough conductor surface impedance from dc up to 100 GHz are in excellent agreement with those obtained by the finite-difference (FD) method and other recently published solutions. |
| doi_str_mv | 10.1109/TMTT.2019.2944375 |
| format | Article |
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The infinite Dyson's series, a well-known tool for describing the interaction picture of a quantum system in the field of quantum electrodynamics (QED), is used to derive the magnetic-field evolution inside a rough conductor, starting from the conductor rough surface up to a far distance inside the conductor or equivalently a mathematical infinity. Validity of the obtained values from the first-, second-, and third-order approximations of the proposed series is proven by comparing with very recent research works. In addition, based on the first-order approximation, a very compact matrix identity is presented for the calculation of the state-space evolution matrix. The obtained values of the rough conductor surface impedance from dc up to 100 GHz are in excellent agreement with those obtained by the finite-difference (FD) method and other recently published solutions.</description><identifier>ISSN: 0018-9480</identifier><identifier>EISSN: 1557-9670</identifier><identifier>DOI: 10.1109/TMTT.2019.2944375</identifier><identifier>CODEN: IETMAB</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Conductivity ; Conductors ; Evolution ; Exact solutions ; Finite difference method ; Gradient model ; Impedance ; Mathematical model ; Matrix methods ; millimeter-waves ; Quantum electrodynamics ; Quantum theory ; rough conductor surface ; Rough surfaces ; state-space model ; Surface impedance ; Surface roughness</subject><ispartof>IEEE transactions on microwave theory and techniques, 2019-12, Vol.67 (12), p.4656-4664</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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The infinite Dyson's series, a well-known tool for describing the interaction picture of a quantum system in the field of quantum electrodynamics (QED), is used to derive the magnetic-field evolution inside a rough conductor, starting from the conductor rough surface up to a far distance inside the conductor or equivalently a mathematical infinity. Validity of the obtained values from the first-, second-, and third-order approximations of the proposed series is proven by comparing with very recent research works. In addition, based on the first-order approximation, a very compact matrix identity is presented for the calculation of the state-space evolution matrix. The obtained values of the rough conductor surface impedance from dc up to 100 GHz are in excellent agreement with those obtained by the finite-difference (FD) method and other recently published solutions.</description><subject>Conductivity</subject><subject>Conductors</subject><subject>Evolution</subject><subject>Exact solutions</subject><subject>Finite difference method</subject><subject>Gradient model</subject><subject>Impedance</subject><subject>Mathematical model</subject><subject>Matrix methods</subject><subject>millimeter-waves</subject><subject>Quantum electrodynamics</subject><subject>Quantum theory</subject><subject>rough conductor surface</subject><subject>Rough surfaces</subject><subject>state-space model</subject><subject>Surface impedance</subject><subject>Surface roughness</subject><issn>0018-9480</issn><issn>1557-9670</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kMFKAzEQhoMoWKsPIF4WPG-dZJJNcpRiq9Ai2PUcYpJtt7Sbmt09-PZubfE0_Mz3z8BHyD2FCaWgn8plWU4YUD1hmnOU4oKMqBAy14WESzICoCrXXME1uWnb7RC5ADUi6iP26002jY3vXRdTtow-7OpmnZWb9LdadbYL-epgXchmMe37ne3q2NySq8ru2nB3nmPyOXspp6_54n3-Nn1e5I5p7PIqcOUd8wBIHWOWOSyoQlkJLR0KQBCeS-VlkPyL2lBQa4UHFIJWVaE5jsnj6e4hxe8-tJ3Zxj41w0vDEFGggqIYKHqiXIptm0JlDqne2_RjKJijIHMUZI6CzFnQ0Hk4deoQwj-vlOSDM_wFpi5gQA</recordid><startdate>20191201</startdate><enddate>20191201</enddate><creator>Abdolhamidi, Mostafa</creator><creator>Mohammad-Taheri, Mahmoud</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-3304-1031</orcidid><orcidid>https://orcid.org/0000-0002-6971-9270</orcidid></search><sort><creationdate>20191201</creationdate><title>Rough Conductor Modeling Through State-Space Formulation</title><author>Abdolhamidi, Mostafa ; Mohammad-Taheri, Mahmoud</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-fe48dc2d0031c22a2c361837f597c350305d478d7e74b1ae61aa5d03551ff6943</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Conductivity</topic><topic>Conductors</topic><topic>Evolution</topic><topic>Exact solutions</topic><topic>Finite difference method</topic><topic>Gradient model</topic><topic>Impedance</topic><topic>Mathematical model</topic><topic>Matrix methods</topic><topic>millimeter-waves</topic><topic>Quantum electrodynamics</topic><topic>Quantum theory</topic><topic>rough conductor surface</topic><topic>Rough surfaces</topic><topic>state-space model</topic><topic>Surface impedance</topic><topic>Surface roughness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abdolhamidi, Mostafa</creatorcontrib><creatorcontrib>Mohammad-Taheri, Mahmoud</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>IEEE transactions on microwave theory and techniques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Abdolhamidi, Mostafa</au><au>Mohammad-Taheri, Mahmoud</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rough Conductor Modeling Through State-Space Formulation</atitle><jtitle>IEEE transactions on microwave theory and techniques</jtitle><stitle>TMTT</stitle><date>2019-12-01</date><risdate>2019</risdate><volume>67</volume><issue>12</issue><spage>4656</spage><epage>4664</epage><pages>4656-4664</pages><issn>0018-9480</issn><eissn>1557-9670</eissn><coden>IETMAB</coden><abstract>Based on the state-space formulation, the exact analytical solution of the magnetic-field distribution inside a rough conductor trace is presented. The infinite Dyson's series, a well-known tool for describing the interaction picture of a quantum system in the field of quantum electrodynamics (QED), is used to derive the magnetic-field evolution inside a rough conductor, starting from the conductor rough surface up to a far distance inside the conductor or equivalently a mathematical infinity. Validity of the obtained values from the first-, second-, and third-order approximations of the proposed series is proven by comparing with very recent research works. In addition, based on the first-order approximation, a very compact matrix identity is presented for the calculation of the state-space evolution matrix. 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| source | IEEE Electronic Library (IEL) |
| subjects | Conductivity Conductors Evolution Exact solutions Finite difference method Gradient model Impedance Mathematical model Matrix methods millimeter-waves Quantum electrodynamics Quantum theory rough conductor surface Rough surfaces state-space model Surface impedance Surface roughness |
| title | Rough Conductor Modeling Through State-Space Formulation |
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