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The Quarterly Journal of Mechanics and Applied Mathematics 1974 27(4):403-422; doi:10.1093/qjmam/27.4.403
© 1974 by Oxford University Press
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SCATTERING CROSS-SECTION FOR TWO SPHERES

G. OLUREMI OLAOFE {dagger}

( Department of Mathematics and Computing Wolverhampton Polytechnic, Staffs )

The total scattering cross-section for two neighbouring spheres is derived in terms of an infinite series of the ‘multiple’ scattering coefficients. The result broadly separates into two parts, one corresponding to a primary field, and the other to a secondary field or interference effects. Numerical results presented for Rayleigh particles (x > 1) indicate that for fixed parameter size x, fixed angle of incidence {alpha} and fixed separation constant {delta}, the ratio of the multiple scattering cross-section for two spheres to that of the single sphere cross-section remains approximately constant for varying refractive index m0. Comparison of the exact total scattering coefficient averaged over all orientations (i.e. <Qsoa>a) is made with the approximate Rayleigh–Gans theory.



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