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- W2061856076 abstract "A new method devised for solving the three-dimensional (3D) atmospheric refraction problem is presented. It considers the situation when the origin and the end of the refracted beam are given (boundary value problem) and is based on Fermat's variational principle. Original points of the method are the 3D geometry with ellipsoidal Earth, no sampling of exo-atmospheric beam and treatment of mirage effects. The method is first described and great care is given to the particular case of grazing incidence yielding mirages. In contrast, the case of exo-atmospheric paths (satellite links) is optimized by using a variable integration step, large outside and small inside the atmosphere. Validation is then performed by comparison with numerical and analytical models in the case of astronomical refraction and with MODTRAN 3.5 in the case of terrestrial refraction. The influence of the Earth's oblateness is shown to modify the refraction angle by 1.3% in absolute magnitude. Consistency is also checked with the direct method where the origin, direction of sight and distance are specified (initial value problem). In a companion paper (Berton, Part II) the influence of significant parameters such as observer and target distance and altitude, vertical profiles of temperature, pressure and humidity, wavelength and sampling step will be analysed in detail. The accuracy of the refractive index formula will also be tested." @default.
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- W2061856076 date "2006-08-07" @default.
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- W2061856076 title "Variational calculation of three-dimensional atmospheric refraction: part I. Description and validation of the method" @default.
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- W2061856076 doi "https://doi.org/10.1088/1464-4258/8/10/001" @default.
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