This paper discusses Rayleigh’s contributions to scattering theory in eight categories: (1) “tenuous scatterers” (relative physical parameters near unity); (2) series solutions for cylinders and spheres (“partial waves”); (3) “small scatterers” (significant dimensions small compared to wavelength); (4) large apertures (applications of Kirchhoff approximations); (5) periodic planar arrays (diffraction gratings); (6) periodic volume arrays and stratified regions; (7) random planar distributions (rough surfaces); (8) random volume distributions (blue sky). Some related topics are also touched on.
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Victor Twersky (1964) studied this question.