Response curves in the theory of atmospheric oscillations

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Abstract
It is shown that response curves are characterized by several maxima and minima. With an upper boundary condition which involves total reflection of tidal energy the maximum magnifications are unbounded. With energy propagating upwards at the upper boundary the maximum magnifications are finite and decrease in value with decreasing successive resonant equivalent depths. Thus the first three maxima occur at equivalent depths equal to 9·94 km, 6·71 km, 3·4 km, with magnifications of 9,220, 10 and 1·7 respectively. A minimum magnification of 0·57 occurs at lunar semidiurnal equivalent depth (7·1 km). This is not adequate to explain the observed lunar tide.The features of the response curve are explained through a two layer model atmosphere. It is shown that the values of magnification at small equivalent depths are critically affected by the particular boundary condition whereas at large equivalent depths magnification is insensitive to variations in the top boundary condition.

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