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A generalization of the Hines” dispersion relation
Authors:D Papadopoulos  TF Tuan  AW Peterson  RM Nadile
Institution:1. Physics Department, University of Cincinnati, Cincinnati, Ohio 45211, U.S.A.;7. Physics Department, University of New Mexico, Albuquerque, NM, U.S.A.;71. Air Force Geophysics Laboratory, Bedford, MA, U.S.A.
Abstract:A simple dispersion relation which forms a generalization to the Hines' relation has been developed for the real atmosphere which fully allows for reflection and transmission at every height level. The relation is an analytic function of the Brunt frequency, the speed of sound profile and its derivatives and the variations in mean molecular mass (using CIRA 1972). The correction terms to the Hines' dispersion relation become important for gravity waves with frequencies close to the Brunt frequency.
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