Theoretical Estimates of Cloud Reflection and Transmission in the Infrared

Charlotte E. Bartky

doi:10.1364/AO.4.000847

Applied Optics
Vol. 4,
Issue 7,
pp. 847-851
(1965)
•https://doi.org/10.1364/AO.4.000847

Theoretical Estimates of Cloud Reflection and Transmission in the Infrared

Charlotte E. Bartky

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Charlotte E. Bartky, "Theoretical Estimates of Cloud Reflection and Transmission in the Infrared," Appl. Opt. 4, 847-851 (1965)

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Abstract

The angular dependence of cloud reflectivity and transmissivity calculated on the basis of single scattering is shown as a function of insolation and scattering angles. Estimates have been made of the albedo of thick water clouds at several wavelengths from λ = 1.9 μ to 4.3 μ using single-scattering theory in regions, where water absorbs strongly, and the multiple-scattering result of Romanova [ Opt. Spectry. (USSR) 14, 135 ( 1963).], where absorption is weak. These are compared to experimental results in the 2.7-μ band.

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λ(μ)	1.9^a	2.2^a	2.7^a	2.8^a	2.9^a	2.7 av^b^, ^c	3.5^b	4.3^b
n₁	1.309	1.293	1.216	1.266	1.367	1.213	1.423	1.343
n₂^d	8.14 × 10⁻⁴	5.11 × 10⁻⁴	0.0183	0.0490	0.0637	0.0252	0.0128	0.0108
σ(10⁻⁶cm²)	1.690	1.753	1.552	1.127	0.998	1.466	1.532	1.778
α(10⁻⁶cm²)	0.05157	0.02763	0.492	0.797	0.871	0.562	0.251	0.130
σ/ϰ	0.972	0.985	0.760	0.586	0.534	0.723	0.860	0.885

λ(μ)	1.9	2.2	2.7	2.8	2.9	2.7_av	3.5	4.3
σ/ϰ	0.972	0.985	0.760	0.586	0.534	0.723	0.860	0.885
A_cst. (from Fig. 8)	0.36	0.48	0.06	0.01	0.006	0.04	0.13	0.15
A₁ = 2π ∫ (D₁⁻/S)μdμ	0.005	0.005	0.0039	0.0030	0.0027	0.0037	0.0044	0.0045
D_exp⁻(ref. 9)μ W cm⁻²sr⁻¹μ⁻¹			57.	5.	2.
πD_exp⁻/cos 30°S T₁T₂			0.205	0.0092	0.0025
T₁ = T_∞−cloud, 30°^a			0.34	0.62	0.96
T₂ = T_{cloud−airplane}, 0°^a			0.76	0.93	0.995
S_λ, 10³μ W cm⁻²μ⁻¹^b			3.90	3.43	3.03

λ(μ)	1.9^a	2.2^a	2.7^a	2.8^a	2.9^a	2.7 av^b^, ^c	3.5^b	4.3^b
n₁	1.309	1.293	1.216	1.266	1.367	1.213	1.423	1.343
n₂^d	8.14 × 10⁻⁴	5.11 × 10⁻⁴	0.0183	0.0490	0.0637	0.0252	0.0128	0.0108
σ(10⁻⁶cm²)	1.690	1.753	1.552	1.127	0.998	1.466	1.532	1.778
α(10⁻⁶cm²)	0.05157	0.02763	0.492	0.797	0.871	0.562	0.251	0.130
σ/ϰ	0.972	0.985	0.760	0.586	0.534	0.723	0.860	0.885

λ(μ)	1.9	2.2	2.7	2.8	2.9	2.7_av	3.5	4.3
σ/ϰ	0.972	0.985	0.760	0.586	0.534	0.723	0.860	0.885
A_cst. (from Fig. 8)	0.36	0.48	0.06	0.01	0.006	0.04	0.13	0.15
A₁ = 2π ∫ (D₁⁻/S)μdμ	0.005	0.005	0.0039	0.0030	0.0027	0.0037	0.0044	0.0045
D_exp⁻(ref. 9)μ W cm⁻²sr⁻¹μ⁻¹			57.	5.	2.
πD_exp⁻/cos 30°S T₁T₂			0.205	0.0092	0.0025
T₁ = T_∞−cloud, 30°^a			0.34	0.62	0.96
T₂ = T_{cloud−airplane}, 0°^a			0.76	0.93	0.995
S_λ, 10³μ W cm⁻²μ⁻¹^b			3.90	3.43	3.03

Abstract

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Figures (8)

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Equations (8)

Applied Optics