If the variations in sound speed c (z) and wind u (z) with height z are not too great, there is a mode of propagation of acoustic waves in the atmosphere in which the wave energy E (z) decreases exponentially with z with a scale c 0 2 /(2 – y) g (about 16 km), and the phase speed c m is given approximately by (about 300 m s −1 ).
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F. P. Bretherton (1969) studied this question.
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