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MET4994_5994_S2011_homework2 - 2 Repeat the previous...

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MET 4994 Remote Sensing: Radar and Satellite Meteorology/MET5994 Remote Sensing in Meteorology Spring 2011 Homework #2 p. 1 of 1 Due Friday, Feb. 25, 2011 at 11:00 am (hand in or email to me before lecture starts). Goal The goal of this assignment is to understand solid angle, brightness temperature, Rayleigh-Jeans law, Snell s law, and Mie scattering theory Questions: 1. A satellite viewing a surface location under cloud-free conditions measures a radiance of 6.2 W m -2 μm -1 sr -1 at wavelength of 12 micron. (a ) Compute the brightness temperature T B . (b) Compute the actual temperature, assuming that the atmosphere is completely transparent, and that the surface s emissivity is 0.9 at this wavelength. (c) Is the ratio of the brightness temperature to the actual temperature equal to the emissivity?
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Unformatted text preview: 2. Repeat the previous question, but for a wavelength of 1 cm and a radiance of 2.103 x 10-10 W m-2 μm-1 sr-1 . Answer (a), (b), and (c) in question 1. 3. Consider a cloud that, when view from a point on the surface, occupies the portion of the sky defined by π /4 < θ < π /2 and 0 < φ < π /8 ( θ is the zenith angle, and φ is the azimuth angle). (a) What is the solid angle subtended by the cloud? (b) What percentage of the sky is covered by this cloud? 4. The S-band weather radar ’ s wavelength is 10-cm. Assuming that the raindrops have approximately the same relative refractive index m as that used to produce the following figure (m=1.78), determine the range of raindrop radii that would fall in Rayleigh regime by using the exact Mie theory curve....
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