Mie Scattering and Absorption Cross Sections for Aluminum Oxide and Magnesium Oxide

Gilbert N. Plass

doi:10.1364/AO.3.000867

Applied Optics
Vol. 3,
Issue 7,
pp. 867-872
(1964)
•https://doi.org/10.1364/AO.3.000867

Mie Scattering and Absorption Cross Sections for Aluminum Oxide and Magnesium Oxide

Gilbert N. Plass

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Gilbert N. Plass, "Mie Scattering and Absorption Cross Sections for Aluminum Oxide and Magnesium Oxide," Appl. Opt. 3, 867-872 (1964)

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Abstract

The scattering and absorption cross sections for electromagnetic radiation incident upon spherical particles of aluminum oxide and magnesium oxide were calculated from the Mie theory. The complex index of refraction was taken from the best available experimental data. The calculations were made for particle radii from 0.1 μ to 10 μ and a range of wavelengths from 0.5 μ to 10 μ. The results are presented in the form of tables and graphs.

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Wavelength	Aluminum oxide		Magnesium oxide
Wavelength	n₁	n₂	n₁	n₂
0.5 μ	1.77	10⁻⁶	1.725	5(10)⁻⁶
1	1.75	10⁻⁶	1.720	7(10)⁻⁶
2	1.74	10⁻⁶	1.705	1.2(10)⁻⁵
3	1.71	10⁻⁶	1.690	1.6(10)⁻⁵
4	1.68	10⁻⁵	1.665	2(10)⁻⁵
5	1.63	10⁻⁴	1.64	5(10)⁻⁵
6	1.54	2.2(10)⁻⁴	1.60	10⁻⁴
8	1.35	3.3(10)⁻⁴	1.51	8(10)⁻⁴
10	1.09	5(10)⁻⁴	1.44	9(10)⁻⁴

Wavelength	Radius	Q_abs	Q_sca	Q_ext
2 μ	0.1 μ	5.09 (10)⁻⁷	4.32 (10)⁻³	4.32 (10)⁻³
	0.2	1.327(10)⁻⁶	7.27 (10)⁻²	7.27 (10)⁻²
	0.4	4.59 (10)⁻⁶	9.90 (10)⁻¹	9.90 (10)⁻¹
	0.6	9.21 (10)⁻⁶	3.12	3.12
	0.8	1.627(10)⁻⁵	4.68	4.68
	1.1	2.01 (10)⁻⁵	3.69	3.69
	1.3	2.39 (10)⁻⁵	2.87	2.87
	1.6	4.03 (10)⁻⁵	1.677	1.677
	2.1	3.65 (10)⁻⁵	2.62	2.62
	2.4	5.91 (10)⁻⁵	3.28	3.28
	2.6	1.046(10)⁻⁴	3.19	3.19
	2.9	5.53 (10)⁻⁵	1.914	1.914
	3.1	6.00 (10)⁻⁵	1.868	1.868
	3.4	6.35 (10)⁻⁵	2.58	2.58
	4.1	7.81 (10)⁻⁵	2.36	2.36
	5.1	6.00 (10)⁻⁵	1.868	1.868
	7.1	1.106(10)⁻⁴	1.966	1.966
	9.9	1.310(10)⁻⁴	2.02	2.02
5 μ	0.1 μ	2.17 (10)⁻⁵	8.44 (10)⁻⁵	1.061(10)⁻⁴
	0.2	4.72 (10)⁻⁵	1.361(10)⁻³	1.408(10)⁻³
	0.4	1.063(10)⁻⁴	2.23 (10)⁻²	2.24 (10)⁻²
	0.6	1.875(10)⁻⁴	1.144(10)⁻¹	1.145(10)⁻¹
	0.8	2.95 (10)⁻⁴	3.43 (10)⁻¹	3.44 (10)⁻¹
	1.1	5.40 (10)⁻⁴	9.58 (10)⁻¹	9.59 (10)⁻¹
	1.6	9.52 (10)⁻⁴	2.66	2.66
	2.1	1.558(10)⁻³	4.16	4.16
	2.6	2.18 (10)⁻³	4.70	4.70
	3.1	2.68 (10)⁻³	4.11	4.11
	5.1	3.85 (10)⁻³	1.960	1.963
	7.1	1.248(10)⁻²	3.30	3.31
	9.9	5.52 (10)⁻³	2.29	2.29

Wavelength	Radius	Q_abs	Q_sca	Q_ext
2 μ	0.1 μ	6.54 (10)⁻⁶	4.01 (10)⁻³	4.01 (10)⁻³
	0.2	1.660(10)⁻⁵	6.70 (10)⁻²	6.70 (10)⁻²
	0.4	5.54 (10)⁻⁵	8.98 (10)⁻¹	8.98 (10)⁻¹
	0.6	1.153(10)⁻⁴	2.96	2.96
	0.8	1.992(10)⁻⁴	4.57	4.57
	1.1	2.35 (10)⁻⁴	4.00	4.00
	1.6	3.66 (10)⁻⁴	1.714	1.714
	2.1	8.07 (10)⁻⁴	2.67	2.67
	2.3	7.16 (10)⁻⁴	2.73	2.73
	2.6	5.20 (10)⁻⁴	2.89	2.89
	2.8	5.43 (10)⁻⁴	2.31	2.31
	3.1	5.95 (10)⁻⁴	1.929	1.929
	4.1	8.30 (10)⁻⁴	2.31	2.31
	5.1	1.021(10)⁻³	2.55	2.55
	7.1	1.364(10)⁻³	2.14	2.14
	9.9	2.10 (10)⁻³	1.911	1.911
5 μ	0.1 μ	1.080(10)⁻⁵	8.66 (10)⁻⁵	9.74 (10)⁻⁵
	0.2	2.31 (10)⁻⁵	1.396(10)⁻³	1.419(10)⁻³
	0.4	5.29 (10)⁻⁵	2.29 (10)⁻²	2.30 (10)⁻²
	0.6	9.35 (10)⁻⁵	1.177(10)⁻¹	1.178(10)⁻¹
	0.8	1.475(10)⁻⁴	3.54 (10)⁻¹	3.54 (10)⁻¹
	1.1	2.73 (10)⁻⁴	9.91 (10)⁻¹	9.91 (10)⁻¹
	1.6	4.76 (10)⁻⁴	2.72	2.72
	2.1	7.79 (10)⁻⁴	4.22	4.22
	2.6	1.099(10)⁻³	4.75	4.75
	3.1	1.393(10)⁻³	4.14	4.14
	5.1	1.946(10)⁻³	2.05	2.05
	7.1	3.44 (10)⁻³	2.89	2.89
	9.9	2.75 (10)⁻³	2.35	2.35

Wavelength	Aluminum oxide		Magnesium oxide
Wavelength	n₁	n₂	n₁	n₂
0.5 μ	1.77	10⁻⁶	1.725	5(10)⁻⁶
1	1.75	10⁻⁶	1.720	7(10)⁻⁶
2	1.74	10⁻⁶	1.705	1.2(10)⁻⁵
3	1.71	10⁻⁶	1.690	1.6(10)⁻⁵
4	1.68	10⁻⁵	1.665	2(10)⁻⁵
5	1.63	10⁻⁴	1.64	5(10)⁻⁵
6	1.54	2.2(10)⁻⁴	1.60	10⁻⁴
8	1.35	3.3(10)⁻⁴	1.51	8(10)⁻⁴
10	1.09	5(10)⁻⁴	1.44	9(10)⁻⁴

Wavelength	Radius	Q_abs	Q_sca	Q_ext
2 μ	0.1 μ	5.09 (10)⁻⁷	4.32 (10)⁻³	4.32 (10)⁻³
	0.2	1.327(10)⁻⁶	7.27 (10)⁻²	7.27 (10)⁻²
	0.4	4.59 (10)⁻⁶	9.90 (10)⁻¹	9.90 (10)⁻¹
	0.6	9.21 (10)⁻⁶	3.12	3.12
	0.8	1.627(10)⁻⁵	4.68	4.68
	1.1	2.01 (10)⁻⁵	3.69	3.69
	1.3	2.39 (10)⁻⁵	2.87	2.87
	1.6	4.03 (10)⁻⁵	1.677	1.677
	2.1	3.65 (10)⁻⁵	2.62	2.62
	2.4	5.91 (10)⁻⁵	3.28	3.28
	2.6	1.046(10)⁻⁴	3.19	3.19
	2.9	5.53 (10)⁻⁵	1.914	1.914
	3.1	6.00 (10)⁻⁵	1.868	1.868
	3.4	6.35 (10)⁻⁵	2.58	2.58
	4.1	7.81 (10)⁻⁵	2.36	2.36
	5.1	6.00 (10)⁻⁵	1.868	1.868
	7.1	1.106(10)⁻⁴	1.966	1.966
	9.9	1.310(10)⁻⁴	2.02	2.02
5 μ	0.1 μ	2.17 (10)⁻⁵	8.44 (10)⁻⁵	1.061(10)⁻⁴
	0.2	4.72 (10)⁻⁵	1.361(10)⁻³	1.408(10)⁻³
	0.4	1.063(10)⁻⁴	2.23 (10)⁻²	2.24 (10)⁻²
	0.6	1.875(10)⁻⁴	1.144(10)⁻¹	1.145(10)⁻¹
	0.8	2.95 (10)⁻⁴	3.43 (10)⁻¹	3.44 (10)⁻¹
	1.1	5.40 (10)⁻⁴	9.58 (10)⁻¹	9.59 (10)⁻¹
	1.6	9.52 (10)⁻⁴	2.66	2.66
	2.1	1.558(10)⁻³	4.16	4.16
	2.6	2.18 (10)⁻³	4.70	4.70
	3.1	2.68 (10)⁻³	4.11	4.11
	5.1	3.85 (10)⁻³	1.960	1.963
	7.1	1.248(10)⁻²	3.30	3.31
	9.9	5.52 (10)⁻³	2.29	2.29

Abstract

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Tables (3)

Equations (1)

Applied Optics