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We study the formation of the photonic band structure in small clusters ofdielectric spheres. The first signs of the band structure, an attribute of aninfinite crystal, can appear for clusters of 5 particles. Density of resonantstates of a cluster of 32 spheres may exhibit a well defined structure similarto the density of electromagnetic states of the infinite photonic crystal. Theresonant mode structure of finite-size aggregates is shown to be insensitive torandom displacements of particles off the perfect lattice positions as large ashalf-radius of the particle. The results were obtained by an efficientnumerical method, which relates the density of resonant states to the thescattering coefficients of the electromagnetic scattering problem. Generalizedmultisphere Mie (GMM) solution was used to obtain scattering matrix elements.These results are important to miniature photonic crystal design as well asunderstanding of light localization in dense random media.Comment: 4 pages, 2 figure

Density of resonant states and a manifestation of photonic band structure in small clusters of spherical particles