title: Exact ray paths in a graded-index taper.
abstract: In this paper we show how to construct exact ray solutions for a class of graded-index media of which a tapered parabolic index medium is one member. We give two ray invariants for the trajectories for any medium of this class, and we describe the general features of the ray paths. A simple explicit formula for ray paths is given, clearly encompassing the compression, oscillation, and then reflection of rays in a graded-index taper.
authors.forename: D
authors.initials: D
authors.lastname: Bertilone
authors.forename: C
authors.initials: C
authors.lastname: Pask