Abstract
Recently Hines [1965] in a review of atmospheric gravity wave theory invited the attention of wave theorists from other fields. This note is a direct result and is a by-product of other work in plasma waves. The intent of this note is only to point out an interesting feature of an equation given by Hines and treated somewhat on the same footing as a dispersion equation. From the analysis given by Martyn [1950] using a particular variable φ, the following differential equation is obtained (in Hines' notation) for waves in a nonisothermal atmosphere ((1)) ((2)) with C = velocity of sound. g = acceleration due to gravity. γ = ratio of specific heats. ωa = γg/2C, the acoustic cutoff frequency. ωB = [γ - 1 + γ (∂H/∂Z)]1/2(g/C)the modified Brunt-Vaisala frequency. H = scale height = C2/γg = KT/Mg. kx = horizontal wave number. Z = vertical distance.
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