Mathematics – Complex Variables
Scientific paper
Nov 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrvl..45.1490n&link_type=abstract
Physical Review Letters, vol. 45, Nov. 3, 1980, p. 1490-1494.
Mathematics
Complex Variables
43
Asymptotic Methods, Atmospheric Scattering, Light Scattering, Mie Scattering, Transmission Efficiency, Angular Momentum, Atmospheric Optics, Complex Variables, Refractivity
Scientific paper
Asymptotic approximations to the Mie efficiency factors for extinction, absorption and radiation pressure are obtained and compared with the exact results. The approximations are derived from the complex-angular-momentum theory of Mie scattering and averaged oxygen ranges of the size parameter (the product of the wave number and the droplet radius) of approximately pi. The accuracy of the approximation with respect to the exact results is found to increase with increasing values of the size parameter and the real component of the refractive index, resulting in relative errors from 1-10% at a size parameter of 10 and from 0.01-0.001% at a size factor of 1000. Computing time with respect to exact computations is also found to be reduced by a factor on the order of the size parameter. It is thus concluded that the Mie formula can advantageously be replaced by the asymptotic ones in most applications.
Nussenzveig Moyses H.
Wiscombe Warren J.
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