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The momentum- and frequency-dependent T-matrix operator for the scattering of electromagnetic waves by a dielectric/conducting and para- or diamagnetic sphere is derived as a Mie-type series, and presented in a compact form emphasizing various symmetry properties, notably the unitarity identity. This result extends to magnetic properties one previously obtained for purely dielectric contrasts by other authors. Several situations useful to spatially-dispersive effective-medium approximations to one-body order are examined. Partial summation of the Mie series is achieved in the case of elastic scattering. [ABSTRACT FROM AUTHOR]

This paper describes exactly a new formulation of the T-matrix method with R-matrix expression for the electromagnetic diffraction efficiency about a case that the dielectric-coated metallic Fourier grating is illuminated by a plane wave. We show that the parameters of numerical calculations are widely applied by using R-matrix expression for the thick dielectric coating although this formulation is restricted for groove depth of the grating in a conventional T-matrix method. [ABSTRACT FROM AUTHOR]