用散射系数提取粗糙面的分形特征

应用科学学报 ›› 2000, Vol. 18 ›› Issue (2): 131-134.

用散射系数提取粗糙面的分形特征

王敏锡, 李敬, 任朗

西南交通大学电磁场与微波技术研究所, 四川成都 610031

收稿日期:1999-06-12 修回日期:1999-10-08 出版日期:2000-06-30 发布日期:2000-06-30
作者简介:王敏锡(1969-),女,上海人,副教授,博士;任朗(1913-),男,辽宁沈阳人,教授,博导.
基金资助:
国家自然科学基金资助项目(69831020)

Getting the Fractal Characteristics of Rough Surface by Scattering Coefficient

WANG Min-xi, LI Jing, REN Lang

Institute of EM Theory and Microwave Technology, Southwest Jiaotong University, Chengdu 610031, China

Received:1999-06-12 Revised:1999-10-08 Online:2000-06-30 Published:2000-06-30

摘要/Abstract

摘要： 提出了一种利用远区散射场提取粗糙面分形特征即Hausdorff维数的方法.首先研究了确定分数维的"无标度区法",然后讨论了分形函数的分形插值概念和方法,最后以此为基础提出了粗糙面分形特征的提取方法,该方法充分利用了分形函数模拟粗糙面时的特征,使特征的提取工作简单明了.

关键词: 粗糙面, 分形函数, 分形插值, Hausdorff维数

Abstract: A method of getting the fractal characteristics of rough surfaces i.e. Hausdorff dimension by scattering coefficient is presented. The concept of "scaling range" and the fractal interpolation are discussed. In this method, the characteristics of fractal function is fully considered when it is used to characterize the rough surfaces and the method makes the work getting the fractal characteristics of rough surfaces simple and clear.

Key words: fractal function, fractal interpolation, Hausdorff dimension, rough surface

中图分类号:

O441

王敏锡, 李敬, 任朗. 用散射系数提取粗糙面的分形特征[J]. 应用科学学报, 2000, 18(2): 131-134.

WANG Min-xi, LI Jing, REN Lang. Getting the Fractal Characteristics of Rough Surface by Scattering Coefficient[J]. Journal of Applied Sciences, 2000, 18(2): 131-134.