Assume that the atmospheric absorption coefficient γ varies with height h as and use the simple model
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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
where h0 is the height at which the radiation path passes closest to the Earths surface. For atmospheric aerosols under clear-sky conditions, 1/β 3 km and 1/γ0 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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