Electromagnetic scattering by periodic arrays of particles

Employing self‐consistency, the multiple‐scattering problem is formulated for periodic arrays of particles having constitutive parameters distinct from those of the embedding material. A T‐matrix description of individual particle scattering is employed, so that particles need not be spherical. Explicit analytical and numerical results are obtained for the effective complex dielectric constant e and permeability μ in the quasistatic and infinitesimal lattice limits for several lattice geometries, and shown to agree with existing static computations under appropriate conditions. Random arrays are also considered briefly, and the role of single‐particle resonance effects is examined. Finally, longitudinal electric and magnetic waves are predicted to exist at certain discrete frequencies where e or μ vanish.

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