Open AccessAcoustic‐Gravity Wave Calculations in a Layer with a Linear Temperature Variation
Author(s) -
Greenfield Roy J.,
Harkrider David G.
Publication year - 1971
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1971.tb03405.x
Subject(s) - hypergeometric function , mode (computer interface) , physics , matrix (chemical analysis) , derivative (finance) , gravitational wave , phase velocity , variation (astronomy) , series (stratigraphy) , mathematical analysis , computational physics , mechanics , materials science , mathematics , geology , optics , astrophysics , paleontology , computer science , financial economics , economics , composite material , operating system
Summary 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 percent as compared with Press and Harkrider's results.