The integral ray geometric parameters consist of (i) the relation between the geodesic coordinates, (ii) the arc length, and (iii) the generalised Fock parameter. The authors present these parameters for quadratic cylinders (QUACYLs) in a closed form. The QUACYLs consist of right circular, elliptic, general parabolic, and hyperbolic cylinders. The rectangular hyperbolic cylinder, which is a special case of the general hyperbolic cylinder, has also been included due to its frequent use in surface modeling. The geodesic constant method (GCM) yields these analytical expressions in the one-parameter form, i.e. in terms of the first geodesic constant h. The derived ray geometric parameters can be applied to the ray-theoretic determination of mutual coupling, radiation patterns of antennas in the presence of large scatterers, and the monostatic and bistatic radar cross sections of scatterers.
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