Consistent Wentzel-Kramers-Brillouin (WKB) approximation for acoustic-gravity waves in the atmosphere

2013 ◽  
Vol 134 (5) ◽  
pp. 4224-4224
Author(s):  
Oleg A. Godin
Keyword(s):  
Gravity Waves ◽  
Wkb Approximation ◽  
Acoustic Gravity Waves

WKB approximation in application to acoustic–gravity waves

1970 ◽  
Vol 48 (12) ◽  
pp. 1458-1471 ◽  
Author(s):  
F. Einaudi ◽  
C. O. Hines
Keyword(s):  
Wave Propagation ◽  
Gravity Waves ◽  
Wkb Approximation ◽  
Acoustic Gravity Waves ◽  
Background Temperature

The WKB approximation often provides a useful tool for the study of wave propagation through varying media. The utility of this tool in the case of acoustic–gravity waves, propagating through regions of varying background temperature, has been somewhat questionable because of an ambiguity in the assignment of an appropriate expression for the vertical wavenumber. The ambiguity is examined here, and shown to be inconsequential except in circumstances such that the WKB approximation is itself inapplicable; a unique choice of expression for the vertical wavenumber is recommended on the basis of simplicity and. utility. Conclusions reached in a number of recent papers are reexamined in the light of the insight that has been gained.

Wentzel–Kramers–Brillouin approximation for atmospheric waves

2015 ◽  
Vol 777 ◽  
pp. 260-290 ◽  
Author(s):  
Oleg A. Godin
Keyword(s):  
Gravity Waves ◽  
Acoustic Waves ◽  
Ad Hoc ◽  
Berry Phase ◽  
Boussinesq Approximation ◽  
Internal Gravity Waves ◽  
Wkb Approximation ◽  
Approximation Properties ◽  
Atmospheric Waves ◽  
Acoustic Gravity Waves

Ray and Wentzel–Kramers–Brillouin (WKB) approximations have long been important tools in understanding and modelling propagation of atmospheric waves. However, contradictory claims regarding the applicability and uniqueness of the WKB approximation persist in the literature. Here, we consider linear acoustic–gravity waves (AGWs) in a layered atmosphere with horizontal winds. A self-consistent version of the WKB approximation is systematically derived from first principles and compared to ad hoc approximations proposed earlier. The parameters of the problem are identified that need to be small to ensure the validity of the WKB approximation. Properties of low-order WKB approximations are discussed in some detail. Contrary to the better-studied cases of acoustic waves and internal gravity waves in the Boussinesq approximation, the WKB solution contains the geometric, or Berry, phase. The Berry phase is generally non-negligible for AGWs in a moving atmosphere. In other words, knowledge of the AGW dispersion relation is not sufficient for calculation of the wave phase.

Acoustic-Gravity Waves in Whirling Polar Thermosphere

2015 ◽  
Vol 47 (9) ◽  
pp. 10-22 ◽  
Author(s):  
Yuriy P. Ladikov-Roev ◽  
Oleg K. Cheremnykh ◽  
Alla K. Fedorenko ◽  
Vladimir E. Nabivach
Keyword(s):  
Gravity Waves ◽  
Acoustic Gravity Waves

scholarly journals Acoustic–gravity waves from multi-fault rupture

2021 ◽  
Vol 915 ◽  
Author(s):  
Byron Williams ◽  
Usama Kadri ◽  
Ali Abdolali
Keyword(s):  
Gravity Waves ◽  
Fault Rupture ◽  
Acoustic Gravity Waves

Abstract

Investigation of acoustic gravity waves in the upper atmosphere by the artificial periodic inhomogeneities method at Nizhny Novgorod

1996 ◽  
Vol 39 (3) ◽  
pp. 224-228
Author(s):  
N. V. Bakhmet'eva ◽  
V. V. Belikovich ◽  
E. A. Benediktov ◽  
V. N. Bubukina ◽  
N. P. Goncharov ◽  
...  
Keyword(s):  
Gravity Waves ◽  
Upper Atmosphere ◽  
Acoustic Gravity Waves ◽  
Periodic Inhomogeneities

Evanescent acoustic-gravity waves in a rotating stratified atmosphere

2021 ◽  
Author(s):  
Oleg Cheremnykh ◽  
Tamaz Kaladze ◽  
Yuriy Selivanov ◽  
Serhiy Cheremnykh
Keyword(s):  
Gravity Waves ◽  
Acoustic Gravity Waves

scholarly journals Nonlinear interaction between acoustic gravity waves

1996 ◽  
Vol 14 (3) ◽  
pp. 304-308 ◽  
Author(s):  
P. Axelsson ◽  
J. Larsson ◽  
L. Stenflo
Keyword(s):  
Gravity Waves ◽  
Nonlinear Interaction ◽  
Low Frequency ◽  
Resonant Interaction ◽  
Coupling Coefficients ◽  
Symmetric Form ◽  
Frequency Limit ◽  
Acoustic Gravity Waves

Abstract. The resonant interaction between three acoustic gravity waves is considered. We improve on the results of previous authors and write the new coupling coefficients in a symmetric form. Particular attention is paid to the low-frequency limit.

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