Abstract

Four numerical methods useful for determining the band parameters of infrared transmittance models are presented. A double exponential function described by three absorber parameters and one spectral parameter is adopted as the transmittance model. The methods are compared for accuracy and convenience through an application to line-by-line and measured data for nitrous oxide (N₂O) of 20-cm⁻¹ resolution over a wide range of atmospheric conditions. Sufficient mathematical details are provided so that the methods may be easily adapted to other transmittance functions. One of these—the weighted average method—is shown to be clearly superior to the others.

© 1984 Optical Society of America

Validated transmittance band model for atmospheric nitrous oxide in the infrared

Joseph H. Pierluissi, John M. Jarem, and Wai-Lam W. Ng
Appl. Opt. 23(3) 402-405 (1984)

Validated transmittance band model for SO₂ in the infrared

Joseph H. Pierluissi, John M. Jarem, and Christos Maragoudakis
Appl. Opt. 23(19) 3325-3330 (1984)

Validated infrared transmittance band model for methane in the atmosphere

John M. Jarem, Joseph H. Pierluissi, and Wai-Lam Ng
Appl. Opt. 23(19) 3331-3335 (1984)

Numerical methods for the generation of empirical and analytical transmittance functions with applications to atmospheric trace gases

Joseph H. Pierluissi and Ken Tomiyama
Appl. Opt. 19(14) 2298-2309 (1980)

Equilibrium radiance model applications and comparisons to atmospheric measurements and Rayleigh models

Jacqueline I. Gordon and Richard W. Johnson
Appl. Opt. 23(19) 3363-3372 (1984)