Band Model Formulation for Inhomogeneous Optical Paths
AEROSPACE CORP EL SEGUNDO CA LAB OPERATIONS
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The band model formulation developed by Lindquist and Simmons to handle radiance calculations for highly inhomogeneous and nonisothermal optical paths is discussed and extended. The original formulation was based on the statistical band model for a random array of equal-intensity pressure-broadened Lorentz lines. Here, the formulation is extended to include bands of constant- intensity Doppler lines and bands of Lorentz or Doppler lines with an exponential distribution of line strengths. Results are presented for the equivalent width derivative functions yx, rho for the constant-intensity Lorentz, constant-intensity Doppler, and exponential-intensity Doppler cases. Various approximations to these functions for extreme x and rho conditions are also presented. A closed-form solution for yx, rho is given for the exponentially distributed Lorentz line case.
- Atomic and Molecular Physics and Spectroscopy