Abstract
A previous paper [2] presented an analysis of a class of microstructured
optical surfaces in two dimensions, in which a classification of the
microstructures was obtained (regular and anomalous) and a concept of 2D ideal
microstructures was introduced. In this paper the study of those microstructured
optical surfaces is extended to three dimensions with rotational symmetry. As a
starting point, non-microstructured rotational optical systems in the First
Order Approximation are also classified as point-spot type and ring-spot type,
with remarkable perfect particular cases. This classification is also extended
to the case in which ideal microstructured rotational surfaces are used, for
both regular and anomalous type. The case of perfect ring-spot type system with
an odd number of rotational, anomalous, ideal microstructures enables the
definition of an anomalous aplanatic system that has direct application for
mixing spatially and angularly the light emitted by several sources.
©2007 Optical Society of America
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