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| Mie theory: Test values | Parent topic |
| Table 4. Comparison between the S1-function values obtained with the MJC Light Scattering Calculator for Homogeneous Sphere (column HS) and those obtained by Grehan and Gouesbet (1979) with their SUPERMIDI program for real refractive index, m = 1.33, and various values of the relative particle size, x. Results identical to those to within 2 to 4 decimals have also been obtained with a downward recursion algorithm for function A by Jones (1983). A single significantly different result of SUPERMIDI is yellow shaded (see also Fig. 1). At scattering angles of 0° and 180°, |S1| = |S2|. Abbreviation "nd" means no data. |
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| | S1(0°) |2 | | S1(180°) |2 | |||
| x | HS | SUPERMIDI | HS | SUPERMIDI |
| 1 | 0.05261 | 0.0526 | 0.02116 | 0.0212 |
| 2 | 3.938 | 3.94 | 0.04359 | 0.0436 |
| 3 | 41.697 | 41.7 | 0.2042 | 0.204 |
| 4 | 197.76 | 198 | 0.8709 | 0.870 |
| 5 | 585.9 | 586 | 2.1563 | 2.16 |
| 20 | 4.80e4 | 4.8e4 | 2.399e2 | 2.4e2 |
| 30 | 2.076e5 | 2.08e5 | 8.909e1 | 8.91e1 |
| 50 | 1.540e6 | 1.54e6 | 2.551e2 | 2.55e2 |
| 70 | 6.14e6 | 5.14e6 | 3.793e2 | 3.79e2 |
| 88 | 1.564e7 | 1.564e7 | 4.987e3 | 4.986e3 |
| 100 | 2.7607e7 | 2.7607e7 | 5.602e3 | 5.602e3 |
| 150 | 1.4167e8 | 1.4167e8 | 4.6346e3 | 4.634e3 |
| 190 | 3.4828e8 | 3.4828e8 | 6.9713e3 | 6.9713e4a |
| 200 | 4.2358e8 | 4.2358e8 | 1.0356e4 | 1.0356e4 |
| 300 | 2.1181e9 | 2.1181e9 | 2.3471e4 | 2.3471e4 |
| 400 | 6.6056e9 | 6.6057e9 | 5.4071e4 | 5.4072e4 |
| 500 | 1.6105e10 | 1.6105e10 | 1.0445e5 | 1.0445e5 |
| 610.61 | 3.53095e10 | 3.5309e10 | 1.6750e5 | 1.675e5 |
| 1000 | 2.54242e11 | nd | 1.69034e5 | nd |
| 2000 | 4.04165e12 | nd | 2.96451e6 | nd |
| 4000 | 6.43497e13 | nd | 1.91010e6 | nd |
| 8000 | 1.02859e15 | nd | 7.28294e7 | nd |
| 9999 | 2.50808e15 | nd | 1.22642e8 | nd |
| a - the difference between the HS and SUPERMIDI results is puzzling (see also Fig. 1), especially that Jones (1983) also reports the value obtained by the SUPERMIDI program to all decimals. The value obtained with HS has been confirmed to within 4 decimals by using a Mie scattering program written by Dr. Scott Prahl. |
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| CITATION: Jonasz M. 2006. Mie theory: Test values (www.tpdsci.com/Tpc/MieTestVal.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 18-Apr-2006 Modified: 02-Aug-2006 Peer-reviewed: PENDING |
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