Effect of Coarseness of the Integration Increment on the Calculation of the Radiation Scattered by Polydispersed Aerosols

J. V. Dave

doi:10.1364/AO.8.001161

Applied Optics
Vol. 8,
Issue 6,
pp. 1161-1167
(1969)
•https://doi.org/10.1364/AO.8.001161

Effect of Coarseness of the Integration Increment on the Calculation of the Radiation Scattered by Polydispersed Aerosols

J. V. Dave

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J. V. Dave, "Effect of Coarseness of the Integration Increment on the Calculation of the Radiation Scattered by Polydispersed Aerosols," Appl. Opt. 8, 1161-1167 (1969)

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Abstract

Some results are presented to emphasize the need for using a fine increment while performing integrations over size distribution in computations of the characteristics of the radiation scattered by a unit volume of typical atmospheric aerosols.

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Δx	$\int_{0.001}^{7.0} n (r) d r$	B_s × 10⁵	P₁₁(0°)	P₁₁(90°)	P₂₂(90°)	P₃₃(90°)	P₃₄(90°)	P₁₁(180°)
0.1	99.80	0.1055	131.5	0.1204	0.1007	0.07633	−0.02572	0.4050
0.2	99.61	0.1055	131.3	0.1212	0.1013	0.07715	−0.02581	0.3998
0.5	98.45	1.1056	131.5	0.1205	0.1009	0.07642	−0.02550	0.4047
1.0	95.30	0.1055	131.3	0.1222	0.09936	0.07628	−0.02446	0.4041
2.0	87.80	0.1051	130.4	0.1372	0.06838	0.06521	−0.00504	0.3490

Δx	$\int_{0.1}^{14.0} n (r) d r$	β_s × 10⁵	P₁₁(0°)	P₁₁(90°)	P₂₂(90°)	P₃₃(90°)	P₃₄(90°)	P₁₁(180°)
0.1	99.96	16.49	4055.	0.03012	0.03734	0.008434	−0.002184	0.6328
0.2	99.97	16.49	4054.	0.03041	0.03729	0.008617	−0.002298	0.6234
0.5	99.98	16.49	4055.	0.03040	0.03750	0.008112	−0.002195	0.6361
1.0	99.98	16.49	4054.	0.03096	0.03820	0.005770	−0.000846	0.6151
2.0	99.99	16.49	4053.	0.03213	0.03784	0.006107	+0.000310	0.5975

Δx	$\int_{0.001}^{7.0} n (r) d r$	B_s × 10⁵	P₁₁(0°)	P₁₁(90°)	P₂₂(90°)	P₃₃(90°)	P₃₄(90°)	P₁₁(180°)
0.1	99.80	0.1055	131.5	0.1204	0.1007	0.07633	−0.02572	0.4050
0.2	99.61	0.1055	131.3	0.1212	0.1013	0.07715	−0.02581	0.3998
0.5	98.45	1.1056	131.5	0.1205	0.1009	0.07642	−0.02550	0.4047
1.0	95.30	0.1055	131.3	0.1222	0.09936	0.07628	−0.02446	0.4041
2.0	87.80	0.1051	130.4	0.1372	0.06838	0.06521	−0.00504	0.3490

Δx	$\int_{0.1}^{14.0} n (r) d r$	β_s × 10⁵	P₁₁(0°)	P₁₁(90°)	P₂₂(90°)	P₃₃(90°)	P₃₄(90°)	P₁₁(180°)
0.1	99.96	16.49	4055.	0.03012	0.03734	0.008434	−0.002184	0.6328
0.2	99.97	16.49	4054.	0.03041	0.03729	0.008617	−0.002298	0.6234
0.5	99.98	16.49	4055.	0.03040	0.03750	0.008112	−0.002195	0.6361
1.0	99.98	16.49	4054.	0.03096	0.03820	0.005770	−0.000846	0.6151
2.0	99.99	16.49	4053.	0.03213	0.03784	0.006107	+0.000310	0.5975

Abstract

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Figures (6)

Tables (2)

Equations (11)

Applied Optics