Title :
Scaling properties of attenuation and grain size
Author :
Nicoletti, D.W. ; Bilgutay, N. ; Onaral, B.
Author_Institution :
Drexel Univ., Philadelphia, PA, USA
Abstract :
The fractal characteristics of attenuation are evaluated, and an attempt is made to establish an alternative theoretical model for ultrasonic scattering at grain boundaries. The theoretical development starts with attenuation scaled by wavelength and an inverse power law expression for the grain size distribution function. The wavelength dependence of the attenuation is found to be also an inverse power law with the same exponent as the grain size distribution function. Theoretical justifications for such a size distribution are given, as well as the representation of a 3-D self-similar size distribution in a 2-D image
Keywords :
fractals; grain boundaries; grain size; ultrasonic materials testing; attenuation; fractal characteristics; grain boundaries; grain size distribution function; inverse power law expression; theoretical model; three dimensional self similar size distribution; two dimensional image; ultrasonic scattering; Acoustic scattering; Attenuation; Distribution functions; Fractals; Grain boundaries; Grain size; Histograms; Rayleigh scattering; Size measurement; Ultrasonic variables measurement;
Conference_Titel :
Ultrasonics Symposium, 1990. Proceedings., IEEE 1990
Conference_Location :
Honolulu, HI
DOI :
10.1109/ULTSYM.1990.171536
