Figure 1 depicts the rotationally asymmetric surface of a eyeglass lens for the correction of astigmatism. This toric surface exhibits two peaks and two valleys per rotation of the lens. This means that if the spindle is turning at 1200 RPM, or 20 Hz, the tool servo must be able to follow a trajectory with a fundamental frequency of 40 Hz. Moreover, the servo must also track several higher harmonics (80 Hz, 120 Hz, 160 Hz, etc.,) to achieve the required accuracy.
Current work is focused on reducing the manufacturing cycle time, improving the servo accuracy by an order of magnitude, and turning asymetric shapes in non-optic materials.