We develop a theory for light scattering from a random array of nanoparticles spaced much less than an optical wavelength from an optical waveguide. We deal with the randomness in the particle positions by convolving the single-particle Green’s dyadic with a correlation function that describes the average properties of the particle distribution. This allows us to treat free-space and substrate-mediated particle–particle interactions. We show that coherent interactions between particles near a waveguide cause dramatic, qualitative changes to the particle susceptibilities. Hence, the scattering spectra show strong, surface-induced peaks that we associate with the onset of leaky guided waves of the layered substrate. Our predictions produce outstanding agreement with the scattering experiments of Stuart and Hall [Phys. Rev. Lett. <b>80</b>, 5663 (1998)].
© 2002 Optical Society of America
(240.6680) Optics at surfaces : Surface plasmons
(240.6690) Optics at surfaces : Surface waves
(290.4210) Scattering : Multiple scattering
(290.5850) Scattering : Scattering, particles
(310.2790) Thin films : Guided waves
Brian J. Soller and Dennis G. Hall, "Scattering enhancement from an array of interacting dipoles near a planar waveguide," J. Opt. Soc. Am. B 19, 2437-2448 (2002)