A MODIFIED FOCK FUNCTION.
MICHIGAN UNIV ANN ARBOR RADIATION LAB
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When a high frequency plane electromagnetic wave is tangentially incident upon a locally parabolic convex surface, the distribution of the induced current near the shadow boundary is described by the Fock function Fock, 1946. A modified Fock function is obtained to describe the current distribution on a smooth convex boundary composed of a flat plane smoothly joined to a parabolic cylinder with the join in the penumbra region. Both analytical and numerical methods are used to obtain the modified Fock function which now depends on the distance between the shadow boundary and the flat plane-parabolic cylinder join. The modified Fock function is applied to estimate the backscattering cross section of a cone-sphere. Author