Assume that the atmospheric absorption coefficient γ varies with height h as and use the simple model

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Assume that the atmospheric absorption coefficient γ varies with height h as


y = Yo exp(-ßh),


and use the simple model of limb-sounding geometry derived in Section 6.7.4 to show that the reduction in intensity I is given by


Aln I = -Yo exp(-Bho) TR 28'


where h0 is the height at which the radiation path passes closest to the Earth€™s surface. For atmospheric aerosols under clear-sky conditions, 1/β ‰ˆ 3 km and 1/γ‰ˆ 14 km for visible radiation. Estimate the value of h0 that will reduce the intensity of a transmitted ray by a factor of 10.

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