在1/R居中Cantor集合介质填充波导中波的反射
REFLECTION FROM A WAVEGUIDE FILLED WITH FRACTAL CANTOR LAYERS
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摘要: 1/R居中Cantor集合分层介质是一种分形结构。这种结构在某些光学器件上已获得应用。如果将它引入微波领域,可望构造出一类新型的微波器件。本文主要研究了在以这种分形介质填充的波导中波的反射传输特性。利用网络的自相似性,导出了反射系数、传输系数的简单递推公式。最后,给出具体分析实例,并讨论了计算结果。Abstract: The multi-layered media modeled by the Cantor bar are a type of fractal structures, which have been found wide applications in some optical areas, If they are introduced into microwave fields, a new kind of microwave devices will be developed. In this paper, the reflection properties of wave in a waveguide filled with fractal Cantor layers are investigated. Based on the self-similarity of networks, a new exact self-similar algorithm for reflection and transmission coefficients is derivel. Some examples are ...
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B. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, (1982), Cha pter 1.[2][2][3]E. Jakeman, J. Opt. Soc. Am., 72(1982)8, 1034.-1038.[4]C. Bourrely, P. Chiappetta, B. Torresani, J. Opt. Soc. Am, A3(1986)2, 250-255.[5]D. L. Jaggard, Y. Kim, J. Opt. Soc. Am., A4(1987)6, 1055-1061.[6]D. L. laggard, X. Sun, J. Opt. Soc. Am., A7(1990)6, 1131-1135.[7]D. L. Jaggard, X. Sun, IEEE Trans. on AP, AP-37(1989)12, 1591-1594.[8]D. L. Jaggard, X. Sun, Opt. Lett, 15(1990)24, 1428-1430.[9]高安秀树著, 沈步明, 常子文译, 分数维, 地震出版社, 北京, 1989年, 第一章.[10]R. F. Harrington, Time-Harmonic Electromagnetic Field, McGraw-Hill Book Company, INC. New York, (1961), pp. 148-152. -
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