title: Wave propagation in a graded-index taper.
abstract: We present a model of a graded-index taper for which the field solutions can be obtained directly by separation of variables. Those fields tightly concentrated about the axis of the taper are given very accurately by remarkably simple expressions which clearly illustrate the influence of the tapering. Frequent comparisons with a geometrical optics analysis demonstrate the link between the ray and field approaches and also assist in the physical interpretation of several results. Examples of the application of these field solutions are also described.
authors.forename: D
authors.initials: D
authors.lastname: Bertilone
authors.forename: A
authors.initials: A
authors.lastname: Ankiewicz
authors.forename: C
authors.initials: C
authors.lastname: Pask