Spherical aberration analysis of an uniaxial cartesian oval

摘要

In early published contributions we obtain ray tracing formulas for uniaxial crystals. In the present contribution we show the ray tracing for an uniaxial cartesian oval, when the crystal axis lies in the incident plane. The uniaxial crystals have two refracted rays (ordinary and extraordinary rays). When the object is placed at infinity, the ordinary rays have a common focus called the distal focus. For the extraordinary ray the uniaxial cartesian oval show spherical aberration produced by the medium itself. In order to reduce the spherical aberration we analyze several cases for the orientation of the crystal axis, this improve the performance on this optical design.