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Mie theory: Tests for function A |
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Kattwar and Plass (1967) provide an asymptotic test for function An(y) (as defined in Algorithms for functions of the sphere size and refractive index) for n >> mx and m being real:
| An ≈ (n + 1) / (mx) | (1) |
where m is the refractive index of the sphere relative to that of the surrounding medium and x is the relative sphere size.
Simple tests of the correctness of calculations of the an and bn coefficients have been provided by van de Hulst (1981):
| | an - 0.5 | ≤ 0.5 | (2) |
| | bn - 0.5 | ≤ 0.5 | (3) |
where the equality sign applies to spheres with the real refractive index m.
| CITATION: Jonasz M. 2006. Mie theory: Tests for function A (www.tpdsci.com/Tpc/MieTestAw.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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