The transmission of a randomly spaced array of Lorentz lines whose intensities are exponentially distributed may be simply corrected for doppler effects. Evaluation of the correction exponent requires an integration over the Voigt line profile, which may be done once and for all. The integration is described and results presented in a table. From these results, the mean curve of growth of a single Voigt line in such an array may easily be calculated. Curtis’ approximation, applied to such a band, gives equivalent widths several tens of percent too large in many situations.
© 1968 Optical Society of America
Original Manuscript: October 19, 1967
Published: March 1, 1968
John C. Gille and Robert G. Ellingson, "Correction of Random Exponential Band Transmissions for Doppler Effects," Appl. Opt. 7, 471-474 (1968)