RAMAN-SCATTERING FROM FRACTALS - SIMULATION ON LARGE STRUCTURES BY THE METHOD OF MOMENTS

We have employed the method of spectral moments to study the density o f vibrational states and the Raman coupling coefficient of large two- and three-dimensional percolators at threshold and at higher concentra tion. We first discuss the overflow and underflow problems of the proc edure that arise when, as in the present case, it is necessary to calc ulate a few thousand moments. Then we report on the numerical results; these show that different scattering mechanisms, all a priori equally probable in real systems, produce largely different coupling coeffici ents with different frequency dependence. Our results are compared wit h existing scaling theories of Raman scattering. The situation that em erges is complex; on the one hand, there is indication that the existi ng theory is not satisfactory; on the other hand, the simulations abov e threshold show that in this case the coupling coefficients have very little resemblance, if any, to the same quantities at threshold.