学术探索
学术期刊
新闻热点
数据分析
智能评审

Fractional Fourier transform as a tool for investigation of fractal objects

被引：19
作者：
Alieva, T
机构：
[1] Departmento Fisica de la Materia Condensada, C-III, Universidad Autonama de Madrid, Cantoblanco, Madrid
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1996年 / 13卷 / 06期
关键词：
D O I：
10.1364/JOSAA.13.001189
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The effect of the fractional Fourier transform on homogeneous functions is discussed. The fractional Fourier transform is used for the determination of the main parameters of fractals. An application is made to the Mandelbrot-Weierstrass cosine fractal. The results are applied to describe the propagation of a fractal field through quadratic refractive-index media and to determine its fractal dimension, (C) 1996 Optical Society of America
引用
收藏
页码：1189 / 1192
页数：4
相关论文
共 18 条
[1]   THE FRACTIONAL FOURIER-TRANSFORM IN OPTICAL PROPAGATION PROBLEMS [J].
ALIEVA, T ;
LOPEZ, V ;
AGULLOLOPEZ, F ;
ALMEIDA, LB .
JOURNAL OF MODERN OPTICS, 1994, 41 (05) :1037-1044
[2]  
ALIEVA T, 1995, OPT COMMUN, V144, P161
[3]   OPTICAL DIFFRACTION ON FRACTALS [J].
ALLAIN, C ;
CLOITRE, M .
PHYSICAL REVIEW B, 1986, 33 (05) :3566-3569
[4]  
ALMEIDA LB, 1994, IEEE T SIGNAL PROCES, V33, P6182
[5]   WAVELET TRANSFORM OF MULTIFRACTALS [J].
ARNEODO, A ;
GRASSEAU, G ;
HOLSCHNEIDER, M .
PHYSICAL REVIEW LETTERS, 1988, 61 (20) :2281-2284
[6]  
FEDER J, 1988, FRACTALS, P26
[7]   EXPRESSION OF THE KERNEL OF A FRACTIONAL FOURIER-TRANSFORM IN ELEMENTARY-FUNCTIONS [J].
KARASIK, YB .
OPTICS LETTERS, 1994, 19 (11) :769-770
[8]  
Mandelbrot B. B., 1982, The fractal geometry of nature, V1, DOI DOI 10.1119/1.13295
[9]  
MANDELBROT BB, 1991, DYNAMICS FRACTAL SUR, P5
[10]   FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .1. [J].
MENDLOVIC, D ;
OZAKTAS, HM .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (09) :1875-1881
12