Layer truncation and the Eulerian/Lagrangian duality in the theory of airglow fluctuations induced by gravity waves

Physics

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Scientific paper

The theory of airglow fluctuations observed from the ground is often advanced by numerical integration of certain parameter combinations through the depth of a model emitting layer. Practical requirements oblige the layer to be truncated above, if not also below, the heights of greatest emission intensity. If the analysis is of an Eulerian type, this truncation requires that edge effects be taken into account if the results are to represent the true situation properly, but no such correction is normally required if the analysis is of a Lagrangian type. The nature of the correction is discussed both for thin layers and for thick layers, and the distinction between the Eulerian and Lagrangian approaches is clarified. The theory for limb-viewing measurements made from spacecraft is somewhat different and is touched upon briefly.

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