an:00447156
Zbl 0783.30005
Miller, Allen R.; Vegh, Emanuel
Exact result for the grazing angle of specular reflection from a sphere
EN
SIAM Rev. 35, No. 3, 472-480 (1993).
00015549
1993
j
30C15
Cardan method; self-inversive polynomials; roots of quartics; Ferrari method; spherical specular reflection
The determination of the specular angle is an important consideration in the design of radar by ray tracing methods. This angle is easily determined for a flat surface. However, the problem is more difficult for a sphere where numerical procedures exist -- but no exact formula was known. The authors derive an exact formula for spherical specular reflection by displaying the grazing angle as one of four roots of a self-inversive quartic polynomial that arises from the geometry of the reflection.
P.A.McCoy (Annapolis)