We consider scattering by arbitrarily shaped particles that satisfy two conditions: (1) that the polarizability of the particle relative to the ambient medium be small compared to 1 and (2) that the phase shift introduced by the particle be less than 2. We solve the integro-differential equation proposed by Shifrin by using the method of successive iterations and then applying a Fourier transform. For the second iteration, results are presented that accurately describe scattering by a broad class of particles. The phase function and other elements of the scattering matrix are shown to be in excellent agreement with Mie theory for spherical scatterers.
© 1976 Optical Society of America
Original Manuscript: May 21, 1976
Published: November 1, 1976
Charles Acquista, "Light scattering by tenuous particles: a generalization of the Rayleigh-Gans-Rocard approach," Appl. Opt. 15, 2932-2936 (1976)