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Infrared Transmission of Synthetic Atmospheres. V. Absorption Laws for Overlapping Bands

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Abstract

Although Lambert’s law Tν=ekνw presumably applies to the absorption of gases in the infrared, the experimentally observed transmission Tν′ cannot be expressed by a simple relation of this type. It is observed, however, that in regions where the atmospheric carbon dioxide and water vapor absorption bands overlap Tν′(CO2+H2O)=Tν′(CO2) · Tν′(H2O) provided the total pressure P is constant. It is found that the total absorption ∫Aν for a synthetic atmospheric sample containing water vapor, carbon dioxide, and nitrogen can be expressed as ∫Aν=∫Aν(H2O)+∊∫Aν(CO2), where ∫Aν(H2O) and ∫Aν(CO2) are given by the empirical relations obtained in earlier studies in the present series and is a fraction, which can be expressed in terms of the total absorption by water vapor.

© 1956 Optical Society of America

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