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Published December 1971 | Published
Journal Article Open

Acoustic-Gravity Wave Calculations in a Layer with a Linear Temperature Variation


An exact expression is obtained for the acoustic-gravity layer matrix for an atmospheric layer having a linear temperature variation. Expressions are also derived for the layer derivative matrices needed to calculate group velocity and mode excitation. The method requires the evaluation of confluent hypergeometric functions, whose series representations are rapidly convergent for layers, such as the lower thermosphere, which have large temperature gradients. The procedure allows rapid accurate calculations in studies of acoustic gravity wave propagation. The new procedure is used to calculate phase and group velocities for the GR_o mode at periods between 5 and 12 min and gives a change in these velocities of 0.3 per cent as compared with Press and Harkrider's results.

Additional Information

© 1971 Royal Astronomical Society. Received 1971 July 1. This research was partially supported by the Advanced Research Projects Agency of the Department of Defense and was monitored by the Air Force Office of Scientific Research under Contract No. F44620-70-C-0120 with the California Institute of Technology, and under Contract F-44620-69-C-0082 with Teledyne-Geotech. Part of the computations were done at The Pennsylvania State University Computation Center.

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Published - Geophys._J._Int.-1971-Greenfield-323-39.pdf


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August 19, 2023
October 17, 2023