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Exercice 3 Upwelling and downwelling radiances at more oblique viewing angles At a wavelength of 10.14 um, the optical depth of a standard midlatitude summer atmosphere is 0.27. Most absorption in the Earth's atmospheric window is due to water vapor near the surface. We assume that the atmosphere emits at a layer at TA = 285 K. The surface is a blackbody with temperature of Ts = 295 K. Let's T be the transmission, Ba(Ts) and Ba(TA) the Planck radiances at Ts and TA- 1. Establish the relationship that exists between the TOA radiance, T, B₁ (Ts) and B₂ (TA). 2. Calculate the upwelling radiance at 0° and at 60°. 3. Calculate the downwelling radiance at the surface.

Exercice 3 Upwelling and downwelling radiances at more oblique viewing angles At a wavelength of 10.14 um, the optical depth of a standard midlatitude summer atmosphere is 0.27. Most absorption in the Earth's atmospheric window is due to water vapor near the surface. We assume that the atmosphere emits at a layer at TA = 285 K. The surface is a blackbody with temperature of Ts = 295 K. Let's T be the transmission, Ba(Ts) and Ba(TA) the Planck radiances at Ts and TA- 1. Establish the relationship that exists between the TOA radiance, T, B₁ (Ts) and B₂ (TA). 2. Calculate the upwelling radiance at 0° and at 60°. 3. Calculate the downwelling radiance at the surface.

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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Exercice 3 Upwelling and downwelling radiances at more oblique viewing angles At a wavelength of 10.14 um, the optical depth of a standard midlatitude summer atmosphere is 0.27. Most absorption in the Earth's atmospheric window is due to water vapor near the surface. We assume that the atmosphere emits at a layer at T = 285 K. The surface is a blackbody with temperature of Ts = 295 K. Let's 7 be the transmission, B₁ (T) and B₂(T) the Planck radiances at Ts and TA- 1. Establish the relationship that exists between the TOA radiance, T, B₁(Ts) and B₁(Ta). 2. Calculate the upwelling radiance at 0° and at 60°. 3. Calculate the downwelling radiance at the surface.
Transcribed Image Text:Exercice 3 Upwelling and downwelling radiances at more oblique viewing angles At a wavelength of 10.14 um, the optical depth of a standard midlatitude summer atmosphere is 0.27. Most absorption in the Earth's atmospheric window is due to water vapor near the surface. We assume that the atmosphere emits at a layer at T = 285 K. The surface is a blackbody with temperature of Ts = 295 K. Let's 7 be the transmission, B₁ (T) and B₂(T) the Planck radiances at Ts and TA- 1. Establish the relationship that exists between the TOA radiance, T, B₁(Ts) and B₁(Ta). 2. Calculate the upwelling radiance at 0° and at 60°. 3. Calculate the downwelling radiance at the surface.
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