The <i>T</i>-matrix equations are revisited with an eye to computing surface fields. Electromagnetic scattering by cylinders is considered for both surface- and volume-type scatterers. Elliptical and other smooth surfaces are examined, as well as cylinders with edges, and the usefulness of various surface field representations is shown. An absorption matrix is defined, and discarding the skew-symmetric part of the <i>T</i> matrix, i.e., enforcing reciprocity, in the course of numerical computations, is found to better satisfy energy constraints both with and without losses present. For thin penetrable cylinders, extended Rayleigh formulas are found for the case kr<sub>max</sub>≪1, |k<sup>′</sup>r<sub>max</sub>| arbitrary, where <i>k</i> and k<sup>′</sup> are, respectively, the free-space and interior propagation constants. In contrast, existing methods require that both quantities be small compared with unity.
© 1999 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.2160) Physical optics : Energy transfer
(290.3770) Scattering : Long-wave scattering
P. C. Waterman, "Surface fields and the T matrix," J. Opt. Soc. Am. A 16, 2968-2977 (1999)