Total radiances and equivalent widths of Doppler lines for nonisothermal paths

Abstract

An analytical method similar to that used by (1) on Lorentz lines was applied to the problem of the growth of an isolated Doppler line for the case of nonisothermal paths. The results, given in terms of the total radiance (N) and equivalent width (W) of the line, are: W = ([pi]/ln 2)1/2[gamma]eg(xL) where is the function obtained by (4) for the isothermal case, [gamma]e is an effective spectral line half-width, N*v( g) is the Planck function of the local temperature in the emitting-absorbing gas, the nondimensional optical depth is defined by dx = (ln2/[pi])1/2[S(X)G(X)dX]/[gamma]e, where S(X) is the local value of the line strength, dX is the in crement of standard optical depth, and G(X) is a function characterizing the temperature dependence of the line width, and the subscript L refers to the total path in the emitting-absorbing gas.