Random Band Models with Lines of Pure Doppler Shape*

Abstract

The behavior of random band models composed of lines of pure Doppler shape for several irradiance distribution functions is investigated. The particular irradiance distribution functions chosen are: (1) constant irradiance, (2) exponential distribution, (3) truncated S−1 distribution, and (4) the exponential-tailed S−1 distribution. The curves of growth for the first two models are found to have the asymptotic (log)12 behavior characteristic of an isolated Doppler line while the latter two models show a (log)32 dependence.