Topics in Particle and Dispersion Science

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 A_n 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 Peer-reviewed: PENDING

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