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Mie theory: Angular patterns of the scattering matrix elements |
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Sample angular patterns of the scattering matrix elements for homogeneous spheres, M11, M12, M33, and M34 (the last three normalized by M11), as defined by Eq. 2 in Mie theory: Overview, are shown in Fig. 1. All calculations were performed with the MJC Light Scattering Calculator for Homogeneous Spheres. This Windows-based program utilizes the downward recursion for the An function with the initial values calculated by using the Lentz algorithm (Lentz 1976). See Algorithms for functions of the refractive index and/or size of the sphere and the program's help file for more detail.
Fig. 1. Scattering matrix elements, M11, M12, M33, and M34 (the last three normalized by M11), as defined by Eq. 2 in Mie theory: Overview, for small spheres (diameter of 1 µm) illuminated by a HeNe laser beam (λ = 0.6328 µm in air): polystyrene in water, relative refractive index of 1.19 (light gray curves, and carbon in air, relative refractive index of 1.95 - 0.79i (black curves). The matrix elements were calculated at a scattering angle, θ, resolution of 2° with the MJC Light Scattering Calculator for Homogeneous Spheres
| CITATION: Jonasz M. 2006. Mie theory: Angular patterns of the scattering matrix elements (www.tpdsci.com/Tpc/MieScaMtxAng.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 03-Mar-2006 Modified: 18-Apr-2006 Reviewed: PENDING |
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