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In many cases one needs not a value of a Mie angular pattern at a specific angle but rather an integral of it over a certain angular range. An immediate example is in the measurement of light scattering. In that case, the intensity of the scattered light is integrated over the solid angle of acceptance of the detector.
Such integration can be carried numerically but its accuracy may be quite limited due to the fine structure of the Mie patterns. Pendleton (1982) and Wiscombe and Chılek (1977) provide formulas for the calculation of optical properties of homogeneous spheres being integrals of the respective angular patterns.
| CITATION: Jonasz M. 2006. Mie theory: Integrals of angular patterns (www.tpdsci.com/Tpc/MiePtnAngIntg.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 18-Mar-2006 Modified: 19-Apr-2006 Peer-reviewed: PENDING |
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