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Hilbert分形天線及其全波分析

王宏建,  高本慶

王宏建, 高本慶. Hilbert分形天線及其全波分析[J]. 電子與信息學(xué)報(bào), 2003, 25(6): 790-794.
引用本文: 王宏建, 高本慶. Hilbert分形天線及其全波分析[J]. 電子與信息學(xué)報(bào), 2003, 25(6): 790-794.
Wang Hongjian, Gao Benqing. The Hilbert fractal antenna and its full wave analysis[J]. Journal of Electronics & Information Technology, 2003, 25(6): 790-794.
Citation: Wang Hongjian, Gao Benqing. The Hilbert fractal antenna and its full wave analysis[J]. Journal of Electronics & Information Technology, 2003, 25(6): 790-794.

Hilbert分形天線及其全波分析

The Hilbert fractal antenna and its full wave analysis

  • 摘要: 該文采用全波 FDTD分析方法對(duì)Hilbert分形天線進(jìn)行分析。輸入阻抗的計(jì)算結(jié)果驗(yàn)證了分形天線結(jié)構(gòu)自相似性導(dǎo)致電特性的頻率周期性變化這一規(guī)律。所得結(jié)果與有關(guān)實(shí)驗(yàn)數(shù)據(jù)吻合較好。研究結(jié)果還表明Hilbert分形天線具有縮小天線結(jié)構(gòu)尺寸的優(yōu)點(diǎn)，相對(duì)于一般振子天線來說結(jié)構(gòu)尺寸大大縮小，文中分形天線長(zhǎng)度縮小為相應(yīng)偶極天線的1/7。對(duì)Hilbert分形天線而言其維數(shù)越高，天線尺寸縮小越大，但相鄰分形階數(shù)縮小幅度越來越小，同時(shí)對(duì)其方向圖的全波分析說明Hilbert分形天線同振子天線的性能基本相似，方向圖在諧振頻段內(nèi)基本保持不變。
    Abstract: The full wave FDTD method is used to analysis some Hilbert fractal antenna. The computational results are in good agreement with the experiment, in the document. The results show that Hilbert fractal geometries can be implemented to miniaturize the size of the antenna, too. The reduction level of the Hilbert fractal antenna is about 6/7, at the same time, the higher the fractal order, the more reduction of the antenna size. Furthermore, the far field pattern remain almost the same at the resonant frequencies.
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  • B.B. Mandelbrot, The Fractal Geometry of Nature, New York, W. H. Freeman, 1983, Charter 1.[2]Y. Kim, D. L. Jaggard, The fractal random array, Proc. IEEE, 1986, 74(9), 1278-1280.[3]N. Cohen, Fractal antennas part 1: Introduction and the fractal quad, Communications Quarterly,1995, summer, 7-22.[4]D.H. Werner, R. L. Haupt, P. L. Werner, Fractal antenna engineering: The theory and design of Fractal Antenna Arrays, IEEE Antenna and Propagation Magazine, 1999, 41(5), 34-59.[5]D.H. Werner, P. L. Werner, On the synthesis of fractal radiation patterns, Radio Sci., 1995,30(1), 29-45.[6]Xu Liang, Wu Zhensen, Wang Wenbing, Synthesis of fractal patterns from concentric-ring arrays,Electronics Letters, 1996, 32(21), 1940-1941.[7]C. Puente, J. Romeu, R. Pous, Fractal multiband antenna based on the sierpinski gasket, Electronics Letters, 1996, 32(1), 1-2.[8]C. Puente, J. Romeu, R. Pous, On the behavior of the sierpinski gasket multiband fractal antenna,IEEE Trans. on Antennas and Propagation, 1998, AP-46(4), 517-524.[9]K.J. Vinoy, K. A. Jose, et al., Hilbert curve fractal antenna: A small resont antenna for VHF/UHF applications, Microwave and Optical Technology Letters, 2001, 29(4), 215-219.[10]高本慶,時(shí)域有限差分法FDTD Method,北京,國(guó)防工業(yè)出版社,1995,第一章.[11]齊東旭,分形及其計(jì)算機(jī)生成,北京,科學(xué)出版社,1994,第一章,第二章.
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  • 收稿日期:  2001-11-03
  • 修回日期:  2002-06-21
  • 刊出日期:  2003-06-19

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