Heating due to the 9.6μm ozone band in an inhomogeneous atmosphere—a new approximation

The Curtis-Godson method when applied to the 9.6μm ozone band yields large errors. Kuriyan et al. suggested a method improving this result and yet retaining the analytic simplicity of the transmission function. In this paper, the analytic form of the derivative of the transmission function is obtained and then the heating rates are calculated with the new approximation. The errors in this case are negligibly small. Algebraic manipulation enables the reduction of this approximation to a form similar to that proposed by Goody. This procedure permits interpretation of the boundary conditions in physical terms.