分形光栅的散射
SCATTERING BY FRACTAL GRATING
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摘要: 本文根据菲涅尔-基尔霍夫理论,研究了均匀Cantor集分形和Sierpinski地毯(carpet)分布光栅结构的电磁(光)散射,计算了一维和二维分形光栅散射的强度分布,分析了它们的空间频率分布特性.其数值结果表明,它们均具有明显的分形特征和频率选择特性.
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关键词:
- 分形; 光栅; 散射
Abstract: Based on Fresnel-Kirchhoff theory, the electromagnetic scattering from fractal gratings, which have structure on uniform Cantor sets or Siepinski carpet, is discussed. The scattering intensities of 1-dimensional and 2-dimensional fractal grating with different fractal dimension are calculated and their properties on spatial frequency distrubution are then analysed. The numerical results illustrate the fractal characteristics and frequency selectivities. -
Sinha S K. Scattering from fractal structures[J].Physica D.1989, 38(1):310-314[2]Allain C, Cloitre M. Optical diffraction on fractals. P饰s. Rev., 1986, B33(10): 3566-3569.[3]Uozumi J, Kimura H, Asakura T. Laser diffraction by randomized Koch fractals[J].Wave Random Media.1991, 1(1):73-80[4]Gaylord T K, Moharam M G. Analysis and application of optical diffraction by gratings[J].Proc. IEEE.1985, 73(5):894-937[5]Cwik T, Mittra R. The effects of the truncation and curvature of periodic surfaces: A strip grating. IEEE Trans. on AP, 1988, AP-36(4/5): 612-622.[6]Kriezis E E, Chriasoulidis D P. EM-wave scattering by an inclined strip grating. IEEE Trans. on AP, 1993, AP-41(11) : 1473-1480.[7]Xu liang, Wu Zhensen, Wang Wenbing. Study of the fractal linear arrays. J. of Xidian University, 1994, 21(5): 80-84
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