Satellite- and balloon-borne instruments may be used to measure the total transmission of electromagnetic radiation along a slant-path trajectory traversing the Earth’s atmosphere. Inversions of this type of measurement data to determine the altitude- and wavelength-dependent atmospheric extinction require accurate ray-tracing techniques. The ray-tracing equations used in our inversion procedures are derived. These equations describe the refraction angle and generate the path-length matrix for such radiation traversing a refracting, spherically symmetric atmosphere. Furthermore, they are presented in forms suitable for numerical integration.
© 1982 Optical Society of AmericaPDF Article