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研究生:林哲彥
研究生(外文):Che-Yen Lin
論文名稱:小型圓極化天線之設計
論文名稱(外文):Design of Circularly Polarized Miniature Antennas
指導教授:陳華明陳華明引用關係林憶芳林憶芳引用關係
指導教授(外文):Hua-Ming ChenYi-Fang Lin
學位類別:碩士
校院名稱:國立高雄應用科技大學
系所名稱:光電與通訊研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:91
中文關鍵詞:圓極化陶瓷耦合十字型槽孔
外文關鍵詞:Circularly Polarizedceramiccouplingcross slot
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  • 被引用被引用:1
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本論文的研究主要為小型圓極化天線之設計,利用槽孔耦合饋入以及使用陶瓷的高介電常數、高品質因數等特性,製作出體積小、低姿態、具良好圓極化特性的圓極化天線,此天線配合HFSS模擬軟體輔助設計,並以實作方式來驗證。第二章提出兩支槽孔耦合饋入圓極化天線,使用槽孔耦合激發微帶天線的金屬片或是陶瓷天線來達到共振和輻射,並利用一不等長十字型槽孔的微擾設計,藉此不等長十字型槽孔的微擾設計,可得到良好的圓極化操作設計。在第三章中,提出應用於GPS頻段之方環形陶瓷圓極化天線,利用耦合饋入的方式設計,產生的電磁耦合效應,使其達到圓極化的效果,使其可以使用在全球衛星定位系統。
This thesis mainly study in Circularly Polarized Antennas , there are used the slot-coupled fed, high permittivity Ceramic materials with high Quality Factor to make small and pure circular polarization antennas. The design of the antenna are simulated by the software HFSS for the comparison.
In the Chapter 2, the proposed antennas are fed by the arrowhead slot-coupled to excite the patch radiators. The patch radiators are etched an asymmetric cross slot to disturb the current path on the patch for circular polarization.
In the Chapter 3, a novel coupling technique for circularly polarized square-ring patch antenna is developed and discussed. The circular polarization radiator of the patch antenna is achieved by a simple microstrip feed line through the coupling of a square patch on the same plane of the antenna. Proper positioning of the coupling square patch excites two orthogonal resonant modes with 900 phase difference, and a pure circular polarization is obtained.
目 錄

中文摘要 ---------------------------------------------------------------- i
英文摘要 ---------------------------------------------------------------- ii
誌謝 ---------------------------------------------------------------- iv
目錄 ---------------------------------------------------------------- v
表目錄 ---------------------------------------------------------------- vii
圖目錄 ---------------------------------------------------------------- viii
第一章 序論---------------------------------------------------------- 1
1.1 研究背景及動機------------------------------------------- 1
1.2 文獻導覽---------------------------------------------------- 2
1.3 研究內容提要---------------------------------------------- 3
第二章 槽孔耦合饋入圓極化天線------------------------------- 6
2.1 前言---------------------------------------------------------- 6
2.2 設計原理---------------------------------------------------- 9
2.3.1 箭頭型槽孔耦合饋入圓極化天線---------------------- 12
2.3.2 結果與討論------------------------------------------------- 16
2.3.3 結論---------------------------------------------------------- 29
2.4.1 槽孔耦合饋入陶瓷圓極化天線------------------------- 30
2.4.2 結果與討論------------------------------------------------- 35
2.4.3 結論---------------------------------------------------------- 49
第三章 應用於GPS頻段之方環形陶瓷圓極化微帶天線---- 50
3.1 前言---------------------------------------------------------- 50
3.2 設計原理---------------------------------------------------- 53
3.3 方環形陶瓷圓極化微帶天線---------------------------- 56
3.4 結果與討論------------------------------------------------- 61
3.5 結論---------------------------------------------------------- 80
第四章 結論與未來發展------------------------------------------- 81
參考文獻 ---------------------------------------------------------------- 84
表 目 錄

表2.1 箭頭型槽孔耦合饋入圓極化天線相關參數----------------- 14
表2.2 箭頭型槽孔耦合饋入圓極化天線返射損失實測與模擬值之比較----------------------------------------------------------- 19
表2.3 槽孔耦合饋入陶瓷圓極化天線相關參數-------------------- 33
表2.4 槽孔耦合饋入陶瓷圓極化天線返射損失實測與模擬值之比較-------------------------------------------------------------- 39
表3.1 方環形陶瓷圓極化天線尺寸圖-------------------------------- 58
表3.2 方環形陶瓷圖極化天線實驗跟模擬返回損失之比較----- 66
表3.3 模擬出方環寬度(W)相對應頻率和計算出有效介電常數----------------------------------------------------------------------- 68
表3.4 方環形陶瓷圓極化天線測試位置及天氣時間比較表----------------------------------------------------------------------- 79
表3.5 方環形陶瓷圓極化天線接收衛星編號及C/N值比較表-- 79
圖2.1 電場隨時間改變的(a)線性極化波圖 (b)圓形極化波圖--- 9
圖2.2 箭頭型槽孔耦合饋入圓極化天線----------------------------- 14
圖2.3 天線實品圖(a)正面圖 (b)背面圖------------------------------ 15
圖2.4 箭頭型槽孔耦合饋入圓極化天線反射損失比較圖-------- 19
圖2.5 箭頭型槽孔耦合饋入圓極化天線模擬與實測史密斯圖-- 20
圖2.6 箭頭型槽孔耦合饋入圓極化天線電流分佈圖-------------- 21
圖2.7 箭頭型槽孔耦合饋入圓極化天線有無箭頭形狀槽孔反射損失圖----------------------------------------------------------- 22
圖2.8 箭頭型槽孔耦合饋入圓極化天線有無箭頭形狀槽孔史密斯圖-------------------------------------------------------------- 22
圖2.9 箭頭型槽孔耦合饋入圓極化天線改變Ld返射損失圖---- 23
圖2.10 箭頭型槽孔耦合饋入圓極化天線改變Ld史密斯圖------- 23
圖2.11 箭頭型槽孔耦合饋入圓極化天線改變Lb反射損失圖---- 24
圖2.12 箭頭型槽孔耦合饋入圓極化天線改變Lb史密斯圖------- 24
圖2.13 箭頭型槽孔耦合饋入圓極化天線改變Wd反射損失圖--- 25
圖2.14 箭頭型槽孔耦合饋入圓極化天線改變L1反射損失圖---- 26
圖2.15 箭頭型槽孔耦合饋入圓極化天線改變L1史密斯圖------- 26
圖2.16 圓極化天線在中心頻率3454 MHz的輻射場型分佈圖--- 27
圖2.17 箭頭型槽孔耦合饋入圓極化天線實測軸比值-------------- 28
圖2.18 箭頭型槽孔耦合饋入圓極化天線實測增益值-------------- 28
圖2.19 左右旋圓極化波旋轉方向-------------------------------------- 30
圖2.20 判斷左右旋圓極化天線圖-------------------------------------- 32
圖2.21 槽孔耦合饋入陶瓷圓極化天線-------------------------------- 33
圖2.22 槽孔耦合饋入陶瓷圓極化天線實品圖(a)正面圖 (b)背面圖-------------------------------------------------------------------- 34
圖2.23 槽孔耦合饋入陶瓷圓極化實作與模擬反射損失比較圖-- 39
圖2.24 槽孔耦合饋入陶瓷圓極化天線模擬與實做史密斯比較圖-------------------------------------------------------------------- 40
圖2.25 槽孔耦合饋入陶瓷圓極化天線有無圓形槽孔反射損失圖-------------------------------------------------------------------- 41
圖2.26 槽孔耦合饋入陶瓷圓極化天線有無圓形槽孔史密斯圖-- 41
圖2.27 槽孔耦合饋入陶瓷圓極化天線調整圓形槽孔半徑返射損失圖-------------------------------------------------------------- 42
圖2.28 槽孔耦合饋入陶瓷圓極化天線調整圓形槽孔半徑史密斯比較圖----------------------------------------------------------- 42
圖2.29 槽孔耦合饋入陶瓷圓極化天線有無箭頭形狀槽孔反射損失圖-------------------------------------------------------------- 43
圖2.30 槽孔耦合饋入陶瓷圓極化天線有無箭頭形狀槽孔史密斯圖----------------------------------------------------------------- 43
圖2.31 槽孔耦合饋入陶瓷圓極化天線改變陶瓷介電常數反射損失比較圖-------------------------------------------------------- 44
圖2.32 槽孔耦合饋入陶瓷圓極化天線陶瓷向右偏移反射損失比較圖-------------------------------------------------------------- 45
圖2.33 槽孔耦合饋入陶瓷圓極化天線改變L2史密斯比較圖---- 46
圖2.34 圓極化天線在中心頻率2280 MHz的輻射場型分佈圖--- 47
圖2.35 槽孔耦合饋入陶瓷圓極化天線實測軸比值----------------- 48
圖2.36 槽孔耦合饋入陶瓷圓極化天線實測增益值----------------- 48
圖3.1 堆疊型耦和饋入結構圖----------------------------------------- 54
圖3.2 各種TM mode波模分佈圖------------------------------------- 55
圖3.3 方環形陶瓷圖極化天線結構圖-------------------------------- 58
圖3.4 方環形陶瓷圓極化天線實品圖-------------------------------- 59
圖3.5 方環形陶瓷圓極化天線電流路徑圖-------------------------- 60
圖3.6 方環形陶瓷圖極化天線模擬與實作反射損失圖----------- 66
圖3.7 方環形陶瓷圖極化天線模擬與實作史密斯圖-------------- 67
圖3.8 方環形陶瓷圖極化天線方環寬度(W)模擬比較圖-------- 68
圖3.9 方環形陶瓷圖極化天線隨相位改變之表面電流分佈圖 f = 1573 MHz (a)phase = 00 (b)phase = 450 (c)phase = 900 (d)phase = 1350---------------------------------------------------- 69
圖3.10 方環形陶瓷圖極化天線模擬電場分佈比較圖(a)方環內無長方形銀膠導電體 (b)方環內有長方形銀膠導電體--- 70
圖3.11 方環形陶瓷圖極化天線有無耦合銀膠導電體反射損失比較圖-------------------------------------------------------------- 71
圖3.12 方環形陶瓷圖極化天線有無耦合銀膠導電體史密斯比較圖----------------------------------------------------------------- 71
圖3.13 方環形陶瓷圖極化天線開路微帶線圓形末端半徑大小反射損失比較圖-------------------------------------------------- 72
圖3.14 方環形陶瓷圖極化天線開路微帶線圓形末端半徑大小史密斯比較圖-----------------------------------------------------
72
圖3.15 方環形陶瓷圖極化天線陶瓷介電常數改變反射損失比較圖----------------------------------------------------------------- 73
圖3.16 方環形陶瓷圖極化天線陶瓷高度改變反射損失比較圖-- 74
圖3.17 方環形陶瓷圖極化天線實測軸比圖-------------------------- 75
圖3.18 方環形陶瓷圖極化天線實測增益圖-------------------------- 75
圖3.19 方環形陶瓷圖極化天線輻射場型圖,f = 1573 MHZ ------ 76
圖3.20 方環形陶瓷圖極化天線串接接收模組實際量測情形----- 77
圖3.21 方環形陶瓷圖極化天線應用於GPS頻段實際定位圖----- 78
參考文獻

[1]R. M. Sorbello and A. L. Zaghloul, “Wideband, high efficiency,circularly polarizied slot elements,”1989 IEEE AP-S Int. Symp. Dig.,pp.1473-1476.
[2]T. N. Chang, and C. P. Wu, “Microstripline-fed circularly-polarized aperture antenna,”1998 IEEE AP-S Int.Symp.Dig.,pp.1372-1375.
[3]M. K. Fries, and R. Vahldieck, “A novel concept for slot coupled circularly polarized patch antenna,”2001 IEEE AP-S Int. Symp. Dig.,pp.490-493.
[4]S. Matsuzawa and K. Ito, “Circularly polarized printed antenna fed by coplanar waveguide,”Electron.Lett.,vol.32,pp.2035-2036,1996.
[5]E. A. soliman, S. Brebels, E. Byne and G. A. E. Vandenbosch, “Circularly polarized aperture antenna fed by CPW and built in MCM-D technology,”Elrctron.Lett.,vol.35,pp.250-251,1999.
[6]C. C. Chou, K. H. Lin, and H. L. Su, “Broadband circularly polarized cross patch-loaded square slot antenna,”Electronics Letters.,vol.43,No9,26th Apr. 2007.
[7]J. Y. Sze, K. L. WONG and C. C. Huang, ”Coplanar Waveguide-Fed Square Slot Antenna For Broadband Circularly Polarized Radiation,”IEEE Trans. Antenna Propag.,vol.51,No8,2003.
[8]J. Y. Sze and Y. H. Ou, ”Compact CPW-Fed Square Aperture CP Antenna for GPS and inmarsat Applications,” Microwave and Optical Tech. Lett.,vol.49,No2,2007.
[9]Z. Shen, C. T. Sze and C. L. Law, ”A Circularly polarized microstrip-fed T-slot antenna,”2000 IEEE AP-S Int. Symp. Dig., pp1008-1010.
[10]S. Y. Lin and K. L. Wong, “A dual-frequency microstrip-line-fed printed slot antenna,” Microwave and Optical Tech. Lett”., vol. 28, No. 6, 2001.
[11]T. Morioka, S. Araki and K. Hirasawa, “Slot antenna with parastic element for dual band operation,” Electroics Lett., vol. 33, No. 25, 1997.
[12]C. J. Wang and W. T. Tsai, “A stair-shaped slot for the triple-band WLAN applications,” Microwave and Optical Tech. Lett., vol. 39, No. 5, 2003.
[13]J. W. Wu, J. H. Lu, “Compact design of dual-band triangular slot antenna for wireless communication,” IEEE Antenna and Propagation Society Int. Symp., vol. 4, pp. 3816-3819, 2004.
[14]M. Kahrizi, T. K. Sarkar and Z. A. Maricevic, “Analysis of a wide radiation slot in the ground plane of a microstrip line,” IEEE Trans. Microwave Theory Tech., vol. 41, pp. 29-37, 1993.
[15]S. M. Shum, K. F. Tong, X. Zhang and K. M. Luk, “FDTD modeling of microstrip-line-fed wide-slot antenna,” Microwave Optical Technol. Lett., vol. 10, pp. 118-120, 1995.
[16]E. A. Soliman, S. Brebels, E. Beyne and G. A. E. Vandenbosch, “CPW-fed cusp antenna,” Microwave Optical Technol. Lett., vol. 22, pp. 288-290, 1999.
[17]W. S. Chen, C. C. Huang and K. L. Wong, “A novel microstrip-line-fed printed semicircular slot antenna for broadband operation,” Microwave Optical Technol. Lett., vol. 26, pp. 237-239, 2000.
[18]W. S. Chen and F. M. Hsieh, “Broadband design of the printed triangular slot antenna,” IEEE AP-S Int. Symp. Dig., vol. 4, pp. 3733-3736, 2004.
[19]J. F. Huang and C. W. Kuo, “CPW-fed bow-tie slot antenna,” Microwave Optical Technol. Lett., vol. 19, pp. 358-360, 1998.
[20]E. A. Soliman, S. Brebels, P. Delmotte and G. A. E. Vandenbosch, “Bow-tie slot antenna fed by CPW,” Electron. Lett., vol. 35, pp. 514-515, 1999.
[21]S. Miao, B. L. Ooi and P. S. Kooi, “Broadband CPW-fed wide slot antenna,” Microwave Optical Technol. Lett., vol. 25, pp. 206-211, 2000.
[22]A. A. Eldek, A. Z. Elsherbeni and C. E. Smith, “Wideband bow-tie slot antenna with tuning stubs,” Radar Conference., pp. 583-588, 2004.
[23]S. Y. Chen and P. Hsu, “A modified bow-tie slot antenna fed by coplanar waveguide,” IEEE AP-S Int. Symp. Dig., vol. 1, pp. 799-802 2004.
[24]J. W. Niu and S. S. Zhong, “A broadband CPW-fed bow-tie slot antenna,” IEEE AP-S Int. Symp. Dig., vol. 4, pp. 4483-4486, 2004.
[25]S. W. Lu, T. F. Huang and P. Hsu, “CPW-fed slot loop coupled patch antenna on narrow substrate,” Electron. Lett., vol. 35, pp. 682-683, 1999.
[26]A. U. Bhobe, C. L. Holloway, M. Piket-May and R. Hall, “Coplanar waveguide fed wideband slot antenna,” Electron. Lett., vol. 36, pp. 1340-1342, 2000.
[27]X. Ding and A. F. Jacob, “CPW-fed slot antenna with wide radiation apertures,” IEE Proc.-Microw. Antenna Propag., vol. 145, pp. 104-108, 1998.
[28]J. Y. Chiou, J. Y. Sze and K. L. Wong, “A broad-band CPW-fed strip loaded square slot antenna,” IEEE Trans. Antennas Propagat., vol. 51, pp. 719-721, 2003.
[29]J. Y. Sze and K. L. Wong, “Bandwidth enhancement of a microstrip-line-fed printed wide-slot antenna,” IEEE Trans. Antennas Propagat., vol. 49, pp. 1020-1024, 2001.
[30]H. D. Chen, “Broadband CPW-fed Square slot antennas with a widened tuning stub,” IEEE Trans. Antennas Propagat., vol. 51, pp. 1982-1986, 2003.
[31]Y. F. Liu, K. L. Lau, Q. Xue and C. H. Chan, “Experimental studies of printed wide-slot antenna for wide-band applications,” IEEE Antennas Wireless Propagat. Lett., vol. 3, pp. 273-275, 2004.
[32]X. Ding and A. F. Jacob, “CPW-fed slot antenna with wide radiating apertures,” IEE Proc.-Microw. Antenna Propag., vol. 145, pp. 104-108, 1998.
[33]K. L. Wong and Y. F. Lin, “Circularly polarised microstrip antenna with a tuning stub,” Electron. Lett., vol. 34, pp. 831-832, April 1998.
[34]J. H. Lu and K. L. Wong, “Single-feed circularly polarized equilateral-triangular microstrip antenna with a tuning stub,” IEEE Trans. Antennas and Propagat., vol. 48, pp. 1869-1872, Dec. 2000.
[35]C. L. Tang, J. H. Lu, and K. L. Wong, “Circularly polarised equilateral-triangular microstrip antenna with truncated tip,” Electron. Lett., vol. 34, pp. 1277-1278, June 1998.
[36]J. H. Lu, C. L. Tang and K. L. Wong, “Circular polarization design of a single-feed equilateral-triangular microstrip antenna,” Electron. Lett., vol. 34, pp. 319-321, Feb. 1998.
[37]K. L. Wong, W. H. Hsu and C. K. Wu, “Single-feed circularly polarized microstrip antenna with a slit,” Microwave Opt. Technol. Lett., vol. 18, pp. 306-308, July 1998.
[38]J. H. Lu, C. L. Tang, and K. L. Wong, “Single-feed slotted equilateral-triangular microstrip antenna for circular polarization,” IEEE Trans. Antennas and Propagat., vol. 47, pp. 1174-1178, July 1999.
[39]C. Y. Huang, J. Y. Wu, and K. L. Wong, “Cross-slot-coupled microstrip antenna and dielectric resonator antenna for circular polarization,” IEEE Trans. Antennas Propagat., vol. 47, pp. 605-609, April 1999.
[40]C. Y. Huang, J. Y. Wu and K. L. Wong, “Slot-coupled microstrip antenna for broadband circular polarization,” Electron. Lett., vol. 34, pp. 835-836, April 1998.
[41]K. L. Wong and K. B. Hsieh, “Broadband circularly polarized microstrip antenna with a chip-resistor loading,” Microwave Opt. Technol. Lett., vol. 19, pp. 34-36, Sept. 1998.
[42]K. L. Wong and J. Y. Wu, “Bandwidth enhancement of circularly polarized microstrip antenna using chip-resistor loading,” Electron. Lett., vol. 33, pp. 1749-1751, Oct. 9, 1997.
[43]Y. Liu, M. Shahabadi, S. Safavi-Naeini, and S. Suleiman, “Gain improvement of an array of sequentially rotated circularly polarized microstrip antennas using stacked parasitic patches,” 2003 IEEE AP-S Int. Symp. Dig., vol. 1, pp. 614-617, June 2003.
[44]W. Choi, C. Pyo, and J. Choi, “Broadband circularly polarized corner-truncated square patch array antenna,” 2002 IEEE AP-S Int. Symp. Dig., vol. 2, pp 220-223, June 2002.
[45]P. L. Sullivan, D. H. Schaubert, “Analysis of an Aperture Coupled Microstrip Antenna, ” IEEE Trans. Antennas Propagat.,vol.AP34,No8,August 1986.
[46]Q. Rao, T. A. Denidni, A. R. Sebak and R. H. Johnston, “Microstrip fed single-layered substrate aperture coupled microstrip antenna, ”IEE Proc.-Microw.Antennas Propag.,vol.152,No2,2005
[47]Y. P. Zhang, T. K. C. Lo, Y. M. Hwang, “A dielectric-loaded miniature antenna for microcellular and personal communications,” Antennas and Propagation Society International Symposium, 1995. AP-S. Digest, vol. 2, pp. 1152-1155, 18-23 Jun 1995.
[48]J. George, C. K. Anandan, P. Mohan, K.G.Nair, H.Sreemoolanathan and M.T.Sebastian, “Dielectric resonator loaded microstrip antenna for enhanced impedance bandwidth and efficiency, ”Microwave and Optical Tech. Lett., vol. 17, No. 3, pp. 205-207, Feb. 1998.
[49]V. GUPTA, S. SINHA, S. K. KOUL and B. BHAT, “Suspended microstrip patch antenna with dielectric resonator loading for enhanced bandwidth”, Microwave Conference, 2000 Asia-Pacific, pp. 1330-1334, 2000.
[50]Y. S. Wang; S. J. Chung, “Design of a dielectric-loaded quadrifilar helix antenna,”Antenna Technology Small Antennas and Novel Metamaterials, 2006 IEEE International Workshop on, pp. 229 - 232, March 6-8, 2006.
[51]T. W. Chiu, C. Wang, C. M. Su and K. L. Wong, “Surface-mountable dual side-feed circularly polarized ceramic chip antenna,”Electronic Materials and Packaging, pp. 434-437, Dec. 2002.
[52]C. L. Tang, J. H. Lu and K. L. Wong, "Circularly polarized equilateral-triangular microstrip antenna," Electron. Lett., vol. 34, pp. 1277-1278, June 25, 1998.
[53]J. H. Lu, C. L. Tang, and K. L. Wong, "Single-feed slotted equilateral-triangular microstrip antenna for circular polarization," IEEE Trans. Antennas Propagat., vol. 47, pp. 1174-1178, July 1999.
[54]J. H. Lu, C. L. Tang, and K. L. Wong, "Single-feed slotted equilateral-triangular microstrip antenna for circular polarization," IEEE Trans. Antennas Propagat., vol. 47, pp. 1174-1178, July 1999.
[55]K. L. Wong, W. H. Hsu and C. K. Wu, "Single-feed circularly polarized microstrip antenna with a slit," Microwave Opt. Technol. Lett., vol. 18, pp. 306-308, July 1998.
[56]K. L. Wong, W. H. Hsu and C. K. Wu, "Single-feed circularly polarized microstrip antenna with a slit," Microwave Opt. Technol. Lett., vol. 18, pp. 306-308, July 1998.
[57]J. H. Lu, C. L. Tang and K. L. Wong, "Circular polarization design of a single feed equilateral-triangular microstrip antenna," Electron. Lett., vol. 34, pp. 319-321, Feb. 19, 1998.
[58]K. L. Wong and Y. F. Lin, "Circularly polarized microstrip antenna with a tuning stub," Electron. Lett., vol. 34, pp. 831-832, April 30, 1998.
[59]W. H. Hsu and K. L. Wong, "Circularly polarized disk-sector microstrip antenna," Electron. Lett., vol. 34, pp. 2188-2190, Nov. 12, 1998.
[60]K. Chang, Microwave ring circuit and antenna, John Wiley and Sons, chap. 6-7 , pp. 125-154, 1998.
[61]J. R. James and P. S. Hall, Handbook of microstrip antennas, vol. 1 , pp. 143-144.
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