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Spherical conformal microstrip antenna array which is used widely in the field of aeronautics is analyzed by the full wave analysis in this paper. Using the surface integral equation with spherical dyadic Green's function can decrease the number of unknowns remarkably, and also reduce the demand of memory as compared with the method using volume-surface integral equation. The curvilinear triangle is proposed to mesh the surface of the microstrip antenna array, which can simulate the characteristic of spherical surface accurately. Firstly, the problem about probe feed model is solved successfully by introducing the half Rao-Wilton-Glisson function and boundary charge, and the image method is used to treat the line integral singularity problem. Then, the characteristic basis function method is employed to further save memory and computation time further by reducing the rank of impedance matrix. Finally, the input impedance and far-field spherical conformal microstrip antenna array of different sizes are analyzed. Results are in good agreement with those in the literature and simulation software, and thus the validity and effectiveness of the analysis method are demonstrated.
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Keywords:
- spherical conformal microstrip antenna array /
- surface integral equation /
- curvilinear triangle /
- characteristic basis function
[1] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[2] Zhang X Q, Wang J H, Li Z 2011 Acta Phys. Sin. 60 051301 (in Chinese) [张雪芹, 王均宏, 李铮 2011 60 051301]
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[5] Wang X D, Werner D H, Turpin J P 2013 IEEE Trans. Antenn. Propag. 61 3149
[6] Wu J, Khamas S K, Cook G G 2012 IEEE Trans. Antenn. Propag. 60 3697
[7] Li W, Liu S B, Yang W 2010 Chin. Phys. B 19 030307
[8] Li L W, Kooi P S, Leong M S, Yeo T S 1994 IEEE Trans. Microw. Theo. Techn. 42 2302
[9] Khamas S K 2008 IEEE Trans. Antenn. Propag. 56 345
[10] William J B, Donald R W 1999 IEEE Trans. Antenn. Propag. 47 347
[11] Yang M, Ran X J, Cui Y, Wang R Q 2011 Chin. Phys. B 20 097201
[12] Dai Z D, Lu S 2005 Dyadic Green's Functions in Electromagnetic Theory (Wuhan:Wuhan Univerity Press) pp174-201 (in Chinese) [戴振铎, 鲁述2005电磁理论中的并矢格林函数(武汉, 武汉大学出版社)第174–201页]
[13] Khamas S K 2009 IEEE Trans. Antenn. Propag. 57 3827
[14] Khamas S K 2010 IEEE Trans. Antenn. Propag. 58 1003
[15] Khamas S K 2010 IEEE Trans. Antenn. Propag. 58 3743
[16] Yu T, Yin C Y, Liu H Y 2013 J. Appl. Sci. 31 544 (in Chinese) [于涛, 尹成友, 刘海义 2013 应用科学学报 31 544]
[17] Prakash V V S, Mittra R 2003 Microw. Opt. Technol. Lett. 36 95
[18] Hu J, Li Y K, Nie Z P, Zhao H P 2014 IEEE Trans. Antenn. Propag. 62 870
[19] Wang Z G, Sun Y F, Wang G H 2013 Acta Phys. Sin. 62 204102 (in Chinese) [王仲根, 孙玉发, 王国华 2013 62 204102]
[20] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 52 3035]
[21] Niksa B, Zvonimir S, Juraj B 2004 Microw. Opt. Technol. Lett. 40 387
[22] Xiao K 2010 Ph. D. Dissertation (Changsha: National University of Denfense Technology) (in Chinese) [肖科2010博士学位论文(长沙: 国防科学技术大学)]
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[1] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[2] Zhang X Q, Wang J H, Li Z 2011 Acta Phys. Sin. 60 051301 (in Chinese) [张雪芹, 王均宏, 李铮 2011 60 051301]
[3] Yuan N, Yeo T S, Nie X C, GanY B, Li L W 2006 IEEE Trans. Antenn. Propag. 54 554
[4] Que X F, Nie Z P 2006 Syst. Engineer. Electron. 28 1613 (in Chinese) [阙肖峰, 聂在平2006系统工程与电子技术28 1613]
[5] Wang X D, Werner D H, Turpin J P 2013 IEEE Trans. Antenn. Propag. 61 3149
[6] Wu J, Khamas S K, Cook G G 2012 IEEE Trans. Antenn. Propag. 60 3697
[7] Li W, Liu S B, Yang W 2010 Chin. Phys. B 19 030307
[8] Li L W, Kooi P S, Leong M S, Yeo T S 1994 IEEE Trans. Microw. Theo. Techn. 42 2302
[9] Khamas S K 2008 IEEE Trans. Antenn. Propag. 56 345
[10] William J B, Donald R W 1999 IEEE Trans. Antenn. Propag. 47 347
[11] Yang M, Ran X J, Cui Y, Wang R Q 2011 Chin. Phys. B 20 097201
[12] Dai Z D, Lu S 2005 Dyadic Green's Functions in Electromagnetic Theory (Wuhan:Wuhan Univerity Press) pp174-201 (in Chinese) [戴振铎, 鲁述2005电磁理论中的并矢格林函数(武汉, 武汉大学出版社)第174–201页]
[13] Khamas S K 2009 IEEE Trans. Antenn. Propag. 57 3827
[14] Khamas S K 2010 IEEE Trans. Antenn. Propag. 58 1003
[15] Khamas S K 2010 IEEE Trans. Antenn. Propag. 58 3743
[16] Yu T, Yin C Y, Liu H Y 2013 J. Appl. Sci. 31 544 (in Chinese) [于涛, 尹成友, 刘海义 2013 应用科学学报 31 544]
[17] Prakash V V S, Mittra R 2003 Microw. Opt. Technol. Lett. 36 95
[18] Hu J, Li Y K, Nie Z P, Zhao H P 2014 IEEE Trans. Antenn. Propag. 62 870
[19] Wang Z G, Sun Y F, Wang G H 2013 Acta Phys. Sin. 62 204102 (in Chinese) [王仲根, 孙玉发, 王国华 2013 62 204102]
[20] Nie Z P, Wang H G 2003 Acta Phys. Sin. 52 3035 (in Chinese) [聂在平, 王浩刚 2003 52 3035]
[21] Niksa B, Zvonimir S, Juraj B 2004 Microw. Opt. Technol. Lett. 40 387
[22] Xiao K 2010 Ph. D. Dissertation (Changsha: National University of Denfense Technology) (in Chinese) [肖科2010博士学位论文(长沙: 国防科学技术大学)]
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