Abstract

An existing method for predicting the partial transmission of plane internal gravity waves across a weakly stratified region is adapted so as to predict the transmission of internal wave beams having finite horizontal and vertical extent. The results are compared with laboratory experiments in which internal waves generated by an oscillating cylinder are incident upon a mixed region of varying depth and stratification. The results are in good agreement except when the characteristic frequency of the beam is close to the minimum buoyancy frequency of the weakly stratified mixed region. In this case, the predicted transmission coefficient varies rapidly with frequency and so is sensitive to small measurement errors. Applications of this method to atmospheric and oceanic internal waves are discussed.

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