Topics in Particle and Dispersion Science

Scattering by a coated sphere: Test values

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Table 1 contains results for the attenuation efficiency and scattering efficiency obtained with a program developed by Liu Lei et al 2007 (program code) and a MJC Light Scattering Calculator for Coated Sphere (CSS). The results obtained with these programs agree to within the numerical precision shown.

Table 2 compares results for the absorption efficiency obtained some time ago with a program developed by Fenn RW and Oser 1965 and with a MJC Light Scattering Calculator for Coated Sphere (CSS). The absorption efficiency values tend to diverge as the particle size increases. When the particle size increases, the calculations involve an increasingly larger number of terms, suggesting that the convergence problems might be the source of this divergence. As shown in Table 1, results obtained with CSS and more modern program independently developed by Liu Lei et al 2007 for significantly greater particle sizes agree to 7 decimals.

Sun W et al 2004 provide a set of values of the attenuation efficiency, Q_c, scattering efficiency, Q_b, and absorption efficiency, Q_a, of a coated sphere with a relative size 10 and 12 for the core and shell, respectively, and with the complex refractive indices of 1.2 - i 0.1 and 1.1 - i 0.05 for the core and shell, respectively (relative to the refractive index of the surrounding, non-absorbing medium). These values:

Qc = 2.162570	(1a)
Qb = 1.143033	(1b)
Qa = 1.019536	(1c)

match very well those obtained with the MJC Light Scattering Calculator for Coated Sphere:

Qc = 2.162570	(2a)
Qb = 1.143034	(2b)
Qa = 1.019536	(2c)

 

CITATION: Jonasz M. 2009. Scattering by a coated sphere: Test values (www.tpdsci.com/Tpc/ScaCtSphTestVal.php). In: Top. Part. Disp. Sci. (www.tpdsci.com).

HISTORY: Published: 15-Apr-2009 Modified: 29-Jun-2009 Peer-reviewed: PENDING

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