×

zbMATH — the first resource for mathematics

Exact result for the grazing angle of specular reflection from a sphere. (English) Zbl 0783.30005
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.

MSC:
30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)
PDF BibTeX Cite
Full Text: DOI