|Carleton Engineering SCE Faculty A. Adler Courses ELG7173 Rayleigh Scattering|
Rayleigh ScatteringRayleigh scattering origniates in the random positioning of small, isotropic inhomogeneities. Because of the random positioning, the phase of the ultrasound signals may add constructively or destructively, or somewhere in-between. It can be shown that such a system has a SNR of 1.91.
In order to simulate this effect, we create the following Matlab/Octave code.
function sig=usound(Nscat); t=linspace(0,2*pi,200); t(1)=; sig= zeros(size(t)); for i=1:Nscat; sig= sig+sin(t + 2*pi*rand); end endfunction for Nscat= [1,2,3,5,10,30,100,300,1000]; s= zeros(1,10000); for n=1:10000; s(n)= mean(abs(usound(Nscat))); end disp([ Nscat, mean(s), std(s), mean(s)/std(s)]); end
Last Updated: $Date: 2004-03-23 14:05:22 -0500 (Tue, 23 Mar 2004) $