A system for precisely determining a position with resolution on the order
of nanometers or sub-nanometers is described. In particular, a system is
described that utilizes a first and a second sensor assembly to determine
a position of a movable element over a distance many times the capable
range of operation of either of the individual sensor assemblies. The two
sensor assemblies leap-frog one another in an incremental fashion to
ensure that at least one of the sensor assemblies is always within it
operational range. Positional signals generated by one of the sensor
assemblies can be used to calibrate the other sensor assembly, following
an adjustment of the other sensor assembly. The described invention may
be implemented in an optical storage disk mastering system to determine
the position of mastering optics as the mastering optics translate over
the surface of a storage master disk.