John S. Lew
Mathematical Biosciences
The dynamic structure factor S(q,ω) of the vibrational modes of a deterministic fractal is analyzed as a function of both frequency (ω) and momentum (q) transfer. It is found that S(q,ω) is peaked at qmax≈ω2(2+θ), where θ is the anomalous diffusion exponent, and is a scaling function of q( 2+θ) 2/ω. The results are obtained by a novel recursion method for the calculation of the vibration Green's function of a deterministic fractal. They confirm predictions based upon the fracton scaling model. © 1989.
John S. Lew
Mathematical Biosciences
W.F. Cody, H.M. Gladney, et al.
SPIE Medical Imaging 1994
A.R. Gourlay, G. Kaye, et al.
Proceedings of SPIE 1989
Ligang Lu, Jack L. Kouloheris
IS&T/SPIE Electronic Imaging 2002