We review some of the ways in which the fractal concept has found application in wave-propagation contexts. The scaling properties of fractals in both geometrical and statistical situations are reviewed and the relation to inverse power laws discussed. The relationship among the self-similar scaling properties of fractals, Lévy distributions, and renormalized group theory is explored to provide a simple picture of wave propagation through multiscale media. Finally, the notion of using a wavelet transform in the processing of fractal time series is considered.
© 1990 Optical Society of America
Original Manuscript: August 8, 1989
Manuscript Accepted: January 9, 1990
Published: June 1, 1990
Bruce J. West, "Sensing scaled scintillations," J. Opt. Soc. Am. A 7, 1074-1100 (1990)