在1/R居中Cantor集合介質(zhì)填充波導(dǎo)中波的反射
REFLECTION FROM A WAVEGUIDE FILLED WITH FRACTAL CANTOR LAYERS
-
摘要: 1/R居中Cantor集合分層介質(zhì)是一種分形結(jié)構(gòu)。這種結(jié)構(gòu)在某些光學(xué)器件上已獲得應(yīng)用。如果將它引入微波領(lǐng)域,可望構(gòu)造出一類(lèi)新型的微波器件。本文主要研究了在以這種分形介質(zhì)填充的波導(dǎo)中波的反射傳輸特性。利用網(wǎng)絡(luò)的自相似性,導(dǎo)出了反射系數(shù)、傳輸系數(shù)的簡(jiǎn)單遞推公式。最后,給出具體分析實(shí)例,并討論了計(jì)算結(jié)果。
-
關(guān)鍵詞:
- 微波; Cantor集合; 分形; 自相似網(wǎng)絡(luò)
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 ... -
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]高安秀樹(shù)著, 沈步明, 常子文譯, 分?jǐn)?shù)維, 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. -
計(jì)量
- 文章訪問(wèn)數(shù): 2057
- HTML全文瀏覽量: 170
- PDF下載量: 512
- 被引次數(shù): 0
下載:
