Reduced Integral Equations for Coupled Resonators Related Directly to the Lumped Equivalent Circuit
The coupling coefficient between two resonators is conventionally found from the two resonant frequencies. To find these frequencies in distributed structures, full wave frequency domain eigenvalue analysis is required. This process can be quite lengthy, since it has to be repeated at each design it...
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| Veröffentlicht in: | IEEE transactions on microwave theory and techniques 2013-12, Vol.61 (12), p.4021-4028 |
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| container_title | IEEE transactions on microwave theory and techniques |
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| creator | Levie, Ilay Kastner, Raphael |
| description | The coupling coefficient between two resonators is conventionally found from the two resonant frequencies. To find these frequencies in distributed structures, full wave frequency domain eigenvalue analysis is required. This process can be quite lengthy, since it has to be repeated at each design iteration. In addition, In cases with multiple resonators, this method is applied to each pair of resonators separately. In this work, a method is presented for extracting the complete coupling matrix for any number of resonators using a reduced representation whose order is the number of coupled resonators. This representation comes useful in an iterative design process, where the repeated usage of the reduced representation replaces the lengthy full wave analysis, apart from a preliminary stage involving individual resonators only. The method also predicts the frequency dependence of the coupling coefficients. |
| doi_str_mv | 10.1109/TMTT.2013.2288217 |
| format | Article |
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To find these frequencies in distributed structures, full wave frequency domain eigenvalue analysis is required. This process can be quite lengthy, since it has to be repeated at each design iteration. In addition, In cases with multiple resonators, this method is applied to each pair of resonators separately. In this work, a method is presented for extracting the complete coupling matrix for any number of resonators using a reduced representation whose order is the number of coupled resonators. This representation comes useful in an iterative design process, where the repeated usage of the reduced representation replaces the lengthy full wave analysis, apart from a preliminary stage involving individual resonators only. 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To find these frequencies in distributed structures, full wave frequency domain eigenvalue analysis is required. This process can be quite lengthy, since it has to be repeated at each design iteration. In addition, In cases with multiple resonators, this method is applied to each pair of resonators separately. In this work, a method is presented for extracting the complete coupling matrix for any number of resonators using a reduced representation whose order is the number of coupled resonators. This representation comes useful in an iterative design process, where the repeated usage of the reduced representation replaces the lengthy full wave analysis, apart from a preliminary stage involving individual resonators only. The method also predicts the frequency dependence of the coupling coefficients.</description><subject>Applied sciences</subject><subject>Bandpass filter</subject><subject>Circuit properties</subject><subject>coupled mode theory</subject><subject>coupled resonators</subject><subject>Coupling coefficients</subject><subject>coupling matrix</subject><subject>Couplings</subject><subject>Design engineering</subject><subject>Eigenvalues</subject><subject>Electric, optical and optoelectronic circuits</subject><subject>Electronic circuits</subject><subject>Electronics</subject><subject>Equations</subject><subject>Exact sciences and technology</subject><subject>Frequency filters</subject><subject>Galerkin method</subject><subject>Integral equations</subject><subject>Joining</subject><subject>Linear approximation</subject><subject>lumped equivalent circuit</subject><subject>Mathematical model</subject><subject>Method of moments</subject><subject>Microwaves</subject><subject>Oscillators, resonators, synthetizers</subject><subject>Representations</subject><subject>Resonant frequency</subject><subject>Resonators</subject><issn>0018-9480</issn><issn>1557-9670</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkMtKAzEUhoMoWC8PIG4GRHAzNZmZ3JZSr1ARpK5DmjnRSDqpSUbw7U1pceHq3L7_cM6P0BnBU0KwvF48LxbTBpN22jRCNITvoQmhlNeScbyPJhgTUctO4EN0lNJnKTuKxQSZV-hHA331NGR4j9pXd1-jzi4MqbIhVrMwrn0Zv0IKg84hppJ6nUvr1kUw2f9UOVT5A6r5uFqXdtG7b-1hyNXMRTO6fIIOrPYJTnfxGL3d3y1mj_X85eFpdjOvTUtZrlthesrpUi8x0z3mgi9Zaxm3TPYWW9HonoBk0LQd0XLZSY77UhvGwUqwuj1GV9u96xi-RkhZrVwy4L0eIIxJESYo51RwWtCLf-hnGONQrlOkY42UGHNeKLKlTAwpRbBqHd1Kxx9FsNrYrja2q43tamd70VzuNutktLdRD8alP2EjMO_Ka4U733IOAP7GjFEmadv-AhbIjAs</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Levie, Ilay</creator><creator>Kastner, Raphael</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SP</scope><scope>8FD</scope><scope>L7M</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20131201</creationdate><title>Reduced Integral Equations for Coupled Resonators Related Directly to the Lumped Equivalent Circuit</title><author>Levie, Ilay ; Kastner, Raphael</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c356t-38cd575bab06ad0787b63f67f69df0f82ad1e96e2341a9b4970de96c67ef9efa3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Applied sciences</topic><topic>Bandpass filter</topic><topic>Circuit properties</topic><topic>coupled mode theory</topic><topic>coupled resonators</topic><topic>Coupling coefficients</topic><topic>coupling matrix</topic><topic>Couplings</topic><topic>Design engineering</topic><topic>Eigenvalues</topic><topic>Electric, optical and optoelectronic circuits</topic><topic>Electronic circuits</topic><topic>Electronics</topic><topic>Equations</topic><topic>Exact sciences and technology</topic><topic>Frequency filters</topic><topic>Galerkin method</topic><topic>Integral equations</topic><topic>Joining</topic><topic>Linear approximation</topic><topic>lumped equivalent circuit</topic><topic>Mathematical model</topic><topic>Method of moments</topic><topic>Microwaves</topic><topic>Oscillators, resonators, synthetizers</topic><topic>Representations</topic><topic>Resonant frequency</topic><topic>Resonators</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Levie, Ilay</creatorcontrib><creatorcontrib>Kastner, Raphael</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>Pascal-Francis</collection><collection>CrossRef</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>IEEE transactions on microwave theory and techniques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Levie, Ilay</au><au>Kastner, Raphael</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Reduced Integral Equations for Coupled Resonators Related Directly to the Lumped Equivalent Circuit</atitle><jtitle>IEEE transactions on microwave theory and techniques</jtitle><stitle>TMTT</stitle><date>2013-12-01</date><risdate>2013</risdate><volume>61</volume><issue>12</issue><spage>4021</spage><epage>4028</epage><pages>4021-4028</pages><issn>0018-9480</issn><eissn>1557-9670</eissn><coden>IETMAB</coden><abstract>The coupling coefficient between two resonators is conventionally found from the two resonant frequencies. To find these frequencies in distributed structures, full wave frequency domain eigenvalue analysis is required. This process can be quite lengthy, since it has to be repeated at each design iteration. In addition, In cases with multiple resonators, this method is applied to each pair of resonators separately. In this work, a method is presented for extracting the complete coupling matrix for any number of resonators using a reduced representation whose order is the number of coupled resonators. This representation comes useful in an iterative design process, where the repeated usage of the reduced representation replaces the lengthy full wave analysis, apart from a preliminary stage involving individual resonators only. The method also predicts the frequency dependence of the coupling coefficients.</abstract><cop>New York, NY</cop><pub>IEEE</pub><doi>10.1109/TMTT.2013.2288217</doi><tpages>8</tpages></addata></record> |
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| source | IEEE Electronic Library (IEL) |
| subjects | Applied sciences Bandpass filter Circuit properties coupled mode theory coupled resonators Coupling coefficients coupling matrix Couplings Design engineering Eigenvalues Electric, optical and optoelectronic circuits Electronic circuits Electronics Equations Exact sciences and technology Frequency filters Galerkin method Integral equations Joining Linear approximation lumped equivalent circuit Mathematical model Method of moments Microwaves Oscillators, resonators, synthetizers Representations Resonant frequency Resonators |
| title | Reduced Integral Equations for Coupled Resonators Related Directly to the Lumped Equivalent Circuit |
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