The Applications of the Symmetric Layered Medium Green's Function in Magnetic Field Integral Equation
A symmetry relation of the integral operators in a layered medium proved by the reciprocal theory can be applied to improve the accuracy of the magnetic-field integral equation (MFIE). Based on the symmetric layered medium Green's function, the normal vector can be transferred into the inner in...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2022-11, Vol.70 (11), p.11223-11228 |
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| container_title | IEEE transactions on antennas and propagation |
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| creator | Wang, Shuo Ren, Qiang Ren, Yi Dang, Xunwang Hou, Zhaoguo Yan, Hua Li, Liangsheng Yin, Hongcheng |
| description | A symmetry relation of the integral operators in a layered medium proved by the reciprocal theory can be applied to improve the accuracy of the magnetic-field integral equation (MFIE). Based on the symmetric layered medium Green's function, the normal vector can be transferred into the inner integral to keep the field integral as the inner integral of the elements in the impedance matrix. When discretized by the divergence-conforming function, this field-extracted scheme shows better performance than the classic expression in accuracy. Meanwhile, this form of expression can be applied in the combined-field integral equation (CFIE). Several numerical results are provided to validate the formulation of the symmetry relations from the layered medium Green's function to the impedance matrices and to reveal its advantages in enhancing the accuracy of the field-extracted form of MFIE. |
| doi_str_mv | 10.1109/TAP.2022.3188495 |
| format | Article |
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Based on the symmetric layered medium Green's function, the normal vector can be transferred into the inner integral to keep the field integral as the inner integral of the elements in the impedance matrix. When discretized by the divergence-conforming function, this field-extracted scheme shows better performance than the classic expression in accuracy. Meanwhile, this form of expression can be applied in the combined-field integral equation (CFIE). Several numerical results are provided to validate the formulation of the symmetry relations from the layered medium Green's function to the impedance matrices and to reveal its advantages in enhancing the accuracy of the field-extracted form of MFIE.</description><identifier>ISSN: 0018-926X</identifier><identifier>EISSN: 1558-2221</identifier><identifier>DOI: 10.1109/TAP.2022.3188495</identifier><identifier>CODEN: IETPAK</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Convergence ; Divergence ; Green's function methods ; Green's functions ; Impedance ; Impedance matrix ; Integral equations ; Layered medium Green’s function ; magnetic-field integral equation (MFIE) ; Method of moments ; Operators (mathematics) ; Surface impedance ; surface integral equation (SIE) ; Symmetry ; symmetry relation ; Testing</subject><ispartof>IEEE transactions on antennas and propagation, 2022-11, Vol.70 (11), p.11223-11228</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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Based on the symmetric layered medium Green's function, the normal vector can be transferred into the inner integral to keep the field integral as the inner integral of the elements in the impedance matrix. When discretized by the divergence-conforming function, this field-extracted scheme shows better performance than the classic expression in accuracy. Meanwhile, this form of expression can be applied in the combined-field integral equation (CFIE). Several numerical results are provided to validate the formulation of the symmetry relations from the layered medium Green's function to the impedance matrices and to reveal its advantages in enhancing the accuracy of the field-extracted form of MFIE.</description><subject>Convergence</subject><subject>Divergence</subject><subject>Green's function methods</subject><subject>Green's functions</subject><subject>Impedance</subject><subject>Impedance matrix</subject><subject>Integral equations</subject><subject>Layered medium Green’s function</subject><subject>magnetic-field integral equation (MFIE)</subject><subject>Method of moments</subject><subject>Operators (mathematics)</subject><subject>Surface impedance</subject><subject>surface integral equation (SIE)</subject><subject>Symmetry</subject><subject>symmetry relation</subject><subject>Testing</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1LAzEQhoMoWKt3wUvAg6etSXazmxxLaWuhRcEK3kKyO6kp-9Xs7qH_3tQWYWCY4Xln4EHokZIJpUS-bqcfE0YYm8RUiETyKzSinIuIMUav0YgQKiLJ0u9bdNd1-zAmIklGCLY_gKdtW7pc966pO9xY3Ifd57GqoPcux2t9BA8F3kDhhgovPUD90uHFUOenBHY13uhdDX1gFw7KAq_qHnZel3h-GP6u3qMbq8sOHi59jL4W8-3sLVq_L1ez6TrKmaR9ZCzEECcmk7bQXKbMaJPaFCS3RBZgCtCWSwucpYlJslC5kCLRgkqbcmPiMXo-3219cxig69W-GXwdXiqWxRnPOE1loMiZyn3TdR6sar2rtD8qStRJpgoy1UmmusgMkadzxAHAPy4FyyQj8S8Q83Ff</recordid><startdate>20221101</startdate><enddate>20221101</enddate><creator>Wang, Shuo</creator><creator>Ren, Qiang</creator><creator>Ren, Yi</creator><creator>Dang, Xunwang</creator><creator>Hou, Zhaoguo</creator><creator>Yan, Hua</creator><creator>Li, Liangsheng</creator><creator>Yin, Hongcheng</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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Based on the symmetric layered medium Green's function, the normal vector can be transferred into the inner integral to keep the field integral as the inner integral of the elements in the impedance matrix. When discretized by the divergence-conforming function, this field-extracted scheme shows better performance than the classic expression in accuracy. Meanwhile, this form of expression can be applied in the combined-field integral equation (CFIE). 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| source | IEEE Electronic Library (IEL) |
| subjects | Convergence Divergence Green's function methods Green's functions Impedance Impedance matrix Integral equations Layered medium Green’s function magnetic-field integral equation (MFIE) Method of moments Operators (mathematics) Surface impedance surface integral equation (SIE) Symmetry symmetry relation Testing |
| title | The Applications of the Symmetric Layered Medium Green's Function in Magnetic Field Integral Equation |
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