The quasigeostrophic PV and ozone continuity equations are combined into a single, altitude dependent (planetary) wave equation in which the index of refraction is a function of the basic state zonal-mean distributions of wind, temperature, and ozone. A WKB analysis yields analytical solutions that show the relative importance of Newtonian cooling, ozone advection, and photochemically accelerated cooling in influencing the waves. In particular, it is demonstrated that in the vicinity of critical lines, meridional advection of ozone is the dominant diabatic process, which, under certain conditions, can have an important affect on the tropospheric wave fluxes.
The one-dimensional (in height) problem also is solved numerically for various background configurations of wind, temperature, and ozone. These background states are chosen to represent the variations that could be expected in each season. Moreover, the sensitivity of the results to nonuniform reductions in ozone arising from natural (e.g., volcanoes) and anthropogenic (e.g., chlorofluorocarbons) perturbations also is examined. Implications for changes in the tropospheric circulation will be discussed.