Notice of RetractionA review on mathematical description and decomposition algorithms of freeform optical surfaces in diamond turning

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

There is an ever-increasing demand for freeform optical surfaces in various industrial fields. The fast tool servo (FTS) based diamond turning has been recognized as a high-efficiency, high-precision and cost-effective machining process of generating freeform optical surfaces. In order to implement the FTS based diamond turning, the freeform optical surface should be decomposed into a rotationally symmetric component and a non-rotationally symmetric residual. The mathematical description of freeform optical surfaces used in optical design is systematically summarized, and the decomposition algorithms of freeform optical surfaces used in optical manufacturing are presented in this paper.