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维数连续可变康托尔集分层介质中波的反射透射特性
引用本文:陈陆君,梁昌洪.维数连续可变康托尔集分层介质中波的反射透射特性[J].光子学报,1993,22(3):193-198.
作者姓名:陈陆君  梁昌洪
作者单位:西安电子科技大学 710071 (陈陆君,梁昌洪),西安电子科技大学 710071(吴鸿适)
摘    要:本文研究了波通过一类可连续控制分维的广义Cantor集合介质层的反射透射频谱特性。利用自相似性,给出了任意分维情况的一般计算方法,从而使我们能研究反射透射频谱随分维的变化特点,并认识到,在一般分维下,谱具有广义自相似性和“混沌”周期性,这是一种新的物理现象,必定蕴藏着一定的实用价值。

关 键 词:分形  分形谱  自相似谱  分维
收稿时间:1992-07-06

REFLECTION AND TRANSMISSION CHARACTERISTICS OF WAVES IN CONTINUOUSLY-VARYABLE-DIMENSION CANTOR DIELECTRIC LAYERS
Chen Lujun,Liang Changhong and Wu HongshiXidian University,Xi' an.REFLECTION AND TRANSMISSION CHARACTERISTICS OF WAVES IN CONTINUOUSLY-VARYABLE-DIMENSION CANTOR DIELECTRIC LAYERS[J].Acta Photonica Sinica,1993,22(3):193-198.
Authors:Chen Lujun  Liang Changhong and Wu HongshiXidian University  Xi' an
Affiliation:Chen Lujun,Liang Changhong and Wu HongshiXidian University,Xi' an 710071
Abstract:The waves reflection and transmission spectra of a kind of general continuously-varyable-dimension Cantor layers have been studied. A generalized method and formulae for calculating the spectra as well as the calculated self-similar spectra are reported, some of the spectra show the chaotic period characteristics. This new physical phenomenon should have some applications.
Keywords:Fractal  Fractal spectra  self-similar spectra  Fractal dimension
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