Using Ultra-High Expansion Orders of Max-Ortho Basis Functions for Analysis of Axially Symmetric Metallic Antennas
Implementation of max-ortho basis functions is proposed in a method for analysis of axially symmetric metallic antennas based on exact kernel of electric field integral equation in combination with Galerkin testing. High-precision evaluation of matrix elements is enabled by: a) representing them as...
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| Veröffentlicht in: | IEEE transactions on antennas and propagation 2018-07, Vol.66 (7), p.3696-3699 |
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| container_title | IEEE transactions on antennas and propagation |
| container_volume | 66 |
| creator | Krneta, Aleksandra J. Kolundzija, Branko M. |
| description | Implementation of max-ortho basis functions is proposed in a method for analysis of axially symmetric metallic antennas based on exact kernel of electric field integral equation in combination with Galerkin testing. High-precision evaluation of matrix elements is enabled by: a) representing them as a linear combination of impedance integrals due to the Legendre polynomials and their first derivatives; b) using the singularity cancelation techniques; and c) evaluating the Legendre polynomials and their first derivatives by well-known recurrent formulas. Applicability of max-ortho bases up to expansion order of n =128 is illustrated on a full-wave thick dipole antenna. |
| doi_str_mv | 10.1109/TAP.2018.2835499 |
| format | Article |
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High-precision evaluation of matrix elements is enabled by: a) representing them as a linear combination of impedance integrals due to the Legendre polynomials and their first derivatives; b) using the singularity cancelation techniques; and c) evaluating the Legendre polynomials and their first derivatives by well-known recurrent formulas. Applicability of max-ortho bases up to expansion order of <inline-formula> <tex-math notation="LaTeX">n =128 </tex-math></inline-formula> is illustrated on a full-wave thick dipole antenna.</description><identifier>ISSN: 0018-926X</identifier><identifier>EISSN: 1558-2221</identifier><identifier>DOI: 10.1109/TAP.2018.2835499</identifier><identifier>CODEN: IETPAK</identifier><language>eng</language><publisher>New York: IEEE</publisher><subject>Axially symmetric metallic structure ; Basis functions ; Derivatives ; Dipole antennas ; exact kernel ; Galerkin method ; Impedance ; impedance integral ; integral equation ; Integral equations ; Kernel ; Mathematical analysis ; Matrix methods ; max-ortho basis functions ; Method of moments ; method of moments (MoM) ; Polynomials ; Symmetric matrices ; UHF antennas</subject><ispartof>IEEE transactions on antennas and propagation, 2018-07, Vol.66 (7), p.3696-3699</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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High-precision evaluation of matrix elements is enabled by: a) representing them as a linear combination of impedance integrals due to the Legendre polynomials and their first derivatives; b) using the singularity cancelation techniques; and c) evaluating the Legendre polynomials and their first derivatives by well-known recurrent formulas. Applicability of max-ortho bases up to expansion order of <inline-formula> <tex-math notation="LaTeX">n =128 </tex-math></inline-formula> is illustrated on a full-wave thick dipole antenna.</description><subject>Axially symmetric metallic structure</subject><subject>Basis functions</subject><subject>Derivatives</subject><subject>Dipole antennas</subject><subject>exact kernel</subject><subject>Galerkin method</subject><subject>Impedance</subject><subject>impedance integral</subject><subject>integral equation</subject><subject>Integral equations</subject><subject>Kernel</subject><subject>Mathematical analysis</subject><subject>Matrix methods</subject><subject>max-ortho basis functions</subject><subject>Method of moments</subject><subject>method of moments (MoM)</subject><subject>Polynomials</subject><subject>Symmetric matrices</subject><subject>UHF antennas</subject><issn>0018-926X</issn><issn>1558-2221</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kM1rAjEQxUNpodb2Xugl0PPafG_2uBWtBcVCFXoLcTfRyJq1yQr63zei9DQz7_1mGB4AzxgNMEbF26L8GhCE5YBIyllR3IAe5lxmhBB8C3ooWVlBxM89eIhxm0YmGeuBsIzOr-Gy6YLOJm69gaPjXvvoWg_noTYhwtbCmT5m89BtWviuo4twfPBVl5AIbRtg6XVzOsuJLI9ON80Jfp92O9MFV8GZ6ZKSmtJ3xnsdH8Gd1U00T9faB8vxaDGcZNP5x-ewnGYVKXCXMUQEk9ZqbgU3wqxwRfMc54TjelVhYYVA1OTU1lLkSOtVXVDCCUsMs9LWtA9eL3f3of09mNipbXsI6deoCBIUcckpSxS6UFVoYwzGqn1wOx1OCiN1TlalZNU5WXVNNq28XFacMeYfT2YuCaJ_EoB0yA</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Krneta, Aleksandra J.</creator><creator>Kolundzija, Branko M.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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| ispartof | IEEE transactions on antennas and propagation, 2018-07, Vol.66 (7), p.3696-3699 |
| issn | 0018-926X 1558-2221 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | Axially symmetric metallic structure Basis functions Derivatives Dipole antennas exact kernel Galerkin method Impedance impedance integral integral equation Integral equations Kernel Mathematical analysis Matrix methods max-ortho basis functions Method of moments method of moments (MoM) Polynomials Symmetric matrices UHF antennas |
| title | Using Ultra-High Expansion Orders of Max-Ortho Basis Functions for Analysis of Axially Symmetric Metallic Antennas |
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