Abstract

The mean transmission is calculated for spectral regions which have a random frequency distribution of absorption resonances with Doppler-Lorentz profiles. An effective constant strength band is defined which closely approximates the self-shielding of an arbitrary distribution of line strengths. By appropriately defining the half-width of the lines, the values of the shielding or self-absorption factor when plotted against the ratio of line strength to line width are identical for all line shapes in the region of small optical depth.

The transmission calculations may be used in the interpretation of experiments to measure oscillator strengths and in the determination of the emissivity of high-temperature gases.

© 1960 Optical Society of America

Spectral Emissivity of Hydrogen Chloride from 1000–3400 cm⁻¹*

V. Robert Stull and Gilbert N. Plass
J. Opt. Soc. Am. 50(12) 1279-1285 (1960)

Experimental Transmission Functions for the Pure Rotation Band of Water Vapor*

C. Harvey Palmer
J. Opt. Soc. Am. 50(12) 1232-1242 (1960)

Random Lorentz Band Model with Exponential-Tailed S⁻¹ Line-Intensity Distribution Function*

W. Malkmus
J. Opt. Soc. Am. 57(3) 323-329 (1967)

Measurements on Higher J Rotational Lines of Vibration Rotation Bands and Study of Resonances in Linear Polyatomic Molecules. I. ν₂ and 2ν₂⁰ Bands of HC¹²N†

W. W. Brim, J. M. Hoffman, H. H. Nielsen, and K. Narahari Rao
J. Opt. Soc. Am. 50(12) 1208-1213 (1960)

Direct Determination of Line Shapes of Rotational Spectra from Interferometric Measurements*

Trevor Williams
J. Opt. Soc. Am. 50(12) 1159-1162 (1960)