Plane waves in regular arrays of dipole scatterers and effective-medium modeling

A simple analytical theory for finding eigensolutions for plane electromagn etic waves propagating along an axis in infinite regular arrays of small di pole particles is presented. The spacing between dipoles in every plane is assumed to be smaller than the wavelength; separation between the planes is arbitrary. The influence of evanescent modes is taken into account. This t heory gives a model for an effective propagation constant that can be appli ed in a wide frequency range from the quasi-static regime to the Bragg refl ection (photonic bandgap) region. (C) 2000 Optical Society of America [S074 0-3232(00)01609-43] OCIS codes: 260.2110, 160.4760, 260.2030, 050.2770.