An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation
An approximation mathematical formula to compute the distorted radiation pattern for reflector antennas is presented. In this approximation formula, besides the phase error caused by the structural deformation being added in the far field integral, the surface normal vector variation is also taken i...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2016/4824873 |
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| author | Shuxin Zhang Guigeng Yang Yiqun Zhang |
| author_facet | Shuxin Zhang Guigeng Yang Yiqun Zhang |
| author_sort | Shuxin Zhang |
| collection | DOAJ |
| description | An approximation mathematical formula to compute the distorted radiation pattern for reflector antennas is presented. In this approximation formula, besides the phase error caused by the structural deformation being added in the far field integral, the surface normal vector variation is also taken into consideration. The formula is derived by expanding the surface normal vector into a first-order Taylor series and the phase error into a second-order Taylor series. By assembling the integrals including the contributions of both surface normal vector variation and phase error, the far field electrical vector expressed as a function of structural nodal displacements is further obtained in a matrix form. Simulation results of a distorted reflector show the application of this formula. |
| format | Article |
| id | doaj-art-70b8e0dc9133493181eb5c9db09c161f |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-70b8e0dc9133493181eb5c9db09c161f2025-02-03T01:03:44ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772016-01-01201610.1155/2016/48248734824873An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector VariationShuxin Zhang0Guigeng Yang1Yiqun Zhang2Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710071, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710071, ChinaKey Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an 710071, ChinaAn approximation mathematical formula to compute the distorted radiation pattern for reflector antennas is presented. In this approximation formula, besides the phase error caused by the structural deformation being added in the far field integral, the surface normal vector variation is also taken into consideration. The formula is derived by expanding the surface normal vector into a first-order Taylor series and the phase error into a second-order Taylor series. By assembling the integrals including the contributions of both surface normal vector variation and phase error, the far field electrical vector expressed as a function of structural nodal displacements is further obtained in a matrix form. Simulation results of a distorted reflector show the application of this formula.http://dx.doi.org/10.1155/2016/4824873 |
| spellingShingle | Shuxin Zhang Guigeng Yang Yiqun Zhang An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation International Journal of Antennas and Propagation |
| title | An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation |
| title_full | An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation |
| title_fullStr | An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation |
| title_full_unstemmed | An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation |
| title_short | An Approximation Mathematical Formula of Pattern Analysis for Distorted Reflector Antennas considering Surface Normal Vector Variation |
| title_sort | approximation mathematical formula of pattern analysis for distorted reflector antennas considering surface normal vector variation |
| url | http://dx.doi.org/10.1155/2016/4824873 |
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