Accurate and repeatable measurement of the radius of curvature (RoC) of
spherical sample surfaces is of great importance in optics. This
importance lies in the ubiquitous use of spherical optical elements
such as curved mirrors and lenses. Due to a high measurement
sensitivity, interferometric techniques are often deployed for
accurate characterization of the sample surface RoC. One method by
which a typical commercial Fizeau or Twyman-Green (TG) interferometer
measures surface RoC is via scanning between two principal
retroreflective optical configurations—namely, the confocal and
catseye configurations. Switching between these two configurations is
typically achieved by moving an optical head along the axis of the
propagating laser beam and the RoC is estimated by measuring the
magnitude of mechanical motion to switch between the two principal
configurations. In this paper, we propose a motion-free
catseye/confocal-imaging-based sample RoC measurement system. The
necessity of bulk motion to switch between the two configurations is
circumvented via the use of an actively controlled varifocal lens. We
demonstrate the usefulness of the proposed innovation in RoC
measurements with either the TG or the Fizeau interferometer.
Furthermore, we convert a commercial motion-based Zygo RoC measurement
system into a motion-free one by introducing a tunable lens inside the
apparatus and using it to accurately characterize the RoC of different
test samples. We also compute the wavefront aberrations for all
spherical sample surfaces from the recorded measurement data.