Ultrasonic characterization of fractal models

Author

Chandra, Kavitha ; Thompson, Charles

Author_Institution

Dept. of Electr. Eng., Massachusetts Univ., Lowell, MA, USA

Volume

81

Issue

10

fYear

1993

fDate

10/1/1993 12:00:00 AM

Firstpage

1523

Lastpage

1533

Abstract

Ultrasonic scattering in inhomogeneous fluid media is examined. Of particular interest are those media having a compressibility that varies on a continuum of spatial scales. It is shown that the internal features of such media can be extracted by an analysis of the forward scattered field. The angular distribution of scattered pressure intensity is found to vary with frequency and compressibility contrast. The scattered field data can be rendered stationary to such variations by an application of a similarity transformation. Examples are given for cases where the spatial variation in the compressibility of the media obeys either a power law or exponential correlation function. When these similarity transformations are applied, an estimate of the characteristic radius of the scatterers and the fractal dimension of the medium can be directly obtained

Keywords

compressibility; fractals; ultrasonic propagation; ultrasonic scattering; angular distribution; characteristic radius; compressibility; compressibility contrast; exponential correlation function; forward scattered field; fractal dimension; fractal models; inhomogeneous fluid media; internal features; power law; similarity transformation; spatial variation; Data mining; Fractals; Frequency; Gaskets; Length measurement; Microscopy; Nonhomogeneous media; Oceans; Scattering; Sea surface;

fLanguage

English

Journal_Title

Proceedings of the IEEE

Publisher

ieee

ISSN

0018-9219

Type

jour

DOI

10.1109/5.241512

Filename

241512