A dispersion formula for analyzing 'modal interference' among guided and free gravity wave modes and other phenomena in a realistic atmosphere

Mathematics

Scientific paper

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Gravity Waves, Interference, Modal Response, Planetary Waves, Propagation Modes, Wave Dispersion, Atmospheric Temperature, Exosphere, Formulas (Mathematics), Phase Shift, Wave Attenuation, Wave Equations

Scientific paper

It is noted that gravity waves are known to propagate in the continuous as well as the partially and fully guided modes. Through the development of a dispersion formula, it is shown that these three modes can 'interfere' with one another and that one important consequence of such interference is that the guidance of a large number of partially guided modes can be destroyed. A simple criterion is developed to distinguish the modes that remain observable from those that exist physically only as part of the general background. It is also shown that the presence of an explicit gravity wave source can only selectively or simultaneously excite those modes that are observable and that the other modes remain as part of the background, unaffected by the source.

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