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A theoretical procedure is derived for the determination of the internal and external electromagnetic fields for a monochromatic beam incident upon a homogeneous particle of arbitrarily‐defined shape. The procedure is best suited for the analysis of near‐spherical particles (i.e., particles which deviate from a sphere by plus or minus a few tenths of a radii). Verification and demonstration calculations are presented. Also presented are calculations investigating the effect of a surface deformation on resonance excitation within an otherwise spherical particle.