## Abstract

Perturbation theory is used to compute the angular-intensity correlation function $C(q,k|{q}^{\prime},{k}^{\prime})=\u3008[I(q|k)-\u3008I(q|k)\u3009][I({q}^{\prime}|{k}^{\prime})-\u3008I({q}^{\prime}|{k}^{\prime})]\u3009$ for $p$-polarized light 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 $q$, ${q}^{\prime}$ and $k$, ${k}^{\prime}$ are the projections on the mean scattering surface of the wave vectors of the scattered and the incident light, respectively. Contributions to $C$ include (a) short-range memory effect and time-reversed memory effect terms, ${C}^{\left(1\right)}$; (b) an additional short-range term of comparable magnitude ${C}^{\left(10\right)}$; (c) a long-range term ${C}^{\left(2\right)}$; (d) an infinite-range term ${C}^{\left(3\right)}$; and (e) a new term ${C}^{\left(1.5\right)}$ that along with ${C}^{\left(2\right)}$ displays peaks associated with the excitation of surface polaritons. These new features arise when the factorization approximation is not made in calculating the correlation function $C$.

© 1997 Optical Society of America

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