# Analytical models of optical refraction in the troposphere.

@article{Nener2003AnalyticalMO, title={Analytical models of optical refraction in the troposphere.}, author={Brett D. Nener and Neville Fowkes and Laurent Borredon}, journal={Journal of the Optical Society of America. A, Optics, image science, and vision}, year={2003}, volume={20 5}, pages={ 867-75 } }

An extremely accurate but simple asymptotic description (with known error) is obtained for the path of a ray propagating over a curved Earth with radial variations in refractive index. The result is sufficiently simple that analytic solutions for the path can be obtained for linear and quadratic index profiles. As well as rendering the inverse problem trivial for these profiles, this formulation shows that images are uniformly magnified in the vertical direction when viewed through a quadratic…

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