SPECKLE CORRELATIONS IN THE LIGHT SCATTERED FROM WEAKLY ROUGH RANDOM METAL-SURFACES

Diagrammatic perturbation theory and computer simulation methods are u sed to compute the angular intensity correlation function C(q,k\q',k') = ([I(q\k) - (I(q\k))] x [I(q'\k')- (I(q'\k'))]) for p-polarized ligh t scattered from a weakly rough, one-dimensional random metal surface. I(q\k) is the squared modulus of the scattering matrix for the system , and q, q' and k, k' are the projections on the mean scattering surfa ce of the wavevectors of the scattered and incident light, respectivel y. Contributions to C include: (a) short-range memory effect and time- reversed memory effect terms, C-(1); (b) an additional short-range ter m of comparable magnitude C-(10); (c) a long-range term C-(2); (d) an infinite-range term C-(3); and (e) a term C-(1.5) that along with C-(2 ) displays peaks associated with the excitation of surface plasmon pol aritons. The diagrammatic methods are also extended to treat the angul ar intensity correlation function for the scattering of p to p, p to s , s to p, and s to s polarizations of light from a two-dimensional ran domly rough surface. These correlations are again described in terms o f C-(1), C-(10), C-(1.5), C-(2), and C-(3) contributions to C for the two-dimensional surfaces. Short-range memory and time-reversed memory effects are observed in the two-dimensional C-(1) correlations, and pe aks associated with the excitation of surface polaritons are observed in the two-dimensional C-(1.5) and C-(2) correlations. Most of the res ults for the one- and two-dimensional systems are presented for incide nt electromagnetic plane waves. In addition, results for one-dimension al systems are presented for incident electromagnetic beams of finite width. Some of the results for one-dimensional surfaces are corroborat ed by means of computer simulation techniques.