## Theory of Resonant Light Scattering from a Rough Surface |

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A. A. Maradudin amplitude analogous appendix approximation average Bethe-Salpeter equation boundary conditions chapter closed form solution contain continuum corrugation function decrease in specular defined derived dielectric constant dimensional direct scattering dispersion relation dK'K Dyson equation effective potential electric field equivalent evanescent region factor follows Green function Haller hermitian conjugate hermitian matrix Im(e imaginary integral equation interaction irreducible Kf,K light scattering matrix element medium momentum and polarization multiple scattering multiply normal modes obtained optical theorem pair parallel momentum Phys polariton resonance powers of D(R propagator G quantities randomly rough surface reciprocity condition reducible vertex function renormalization resonant scattering right hand side roughness induced S-matrix s-wave satisfied scattering and absorption scattering of light scattering theory shown in Fig skeleton diagrams specular reflectivity string surface roughness two-dimensional two-line diagrams unitarity unitary and reciprocal vanishes Ward identity wave vector wavelength zero