Tropospheric - Stratospheric Tidal Investigations. Part 2. The Vertical Structure of Atmospheric Oscillations Formulated by Classical Tidal Theory

Abstract : From the equations of classical tidal theory with Newtonian cooling (Chapman and Lindzen, 1970), formulae are obtained for wind, temperature and pressure oscillations generated by thermal, gravitational, and lower-boundary excitations of given frequency. The analysis is an extension of that of Butler and Small (1963) who formulated solutions of the vertical structure equation in terms of two independent solutions of the homogeneous equation and derived expressions for surface pressure oscillations. Computational procedures are described for obtaining two independent solutions of the homogeneous equation and results are presented for an adopted profile of atmospheric scale height. The problem of deriving the surface pressure oscillation due to a tidal potential is briefly reviewed and results are presented as an example of the application of formulae that have been derived.