High-resolution phase-shifting Ronchi test.

A method adding phase-shifting capacity in two mutually perpendicular axes to the Ronchi test is presented in this work. The phase of the object with the position of the reflected ray on the grating was identified and used to solve the equation of reflection in two orthogonal directions. In this manner, the test-surface figure was obtained. The procedure was demonstrated with an inverse qualitative test and a direct, quantitative test. Both tests give results comparable to Fizeau interferometry, with the precision of the order of 25 nm peak to valley. This technique is a good alternative to interferometry because, in addition to its inherent high-resolution, it is possible to obtain the radius of curvature and conic constant, which interferometers, requiring auxiliary optics, cannot provide. This method also has a high dynamic range and is not as susceptible to vibrations or turbulence. The setup can be built with low-cost, readily available components, is easily aligned, uses a white light source, and can be made very lightweight and compact, which makes it ideal for mounting onto existing polishing machines in any optical fabrication workshop, to perform in situ surface metrology.

Diffraction-limited step-zoom telescope by image restoration.

The design of a step-zoom telescope and its ability to achieve a diffraction-limited performance is explored. The basic idea is to include digital postprocessing to compensate for changes in the modulation transfer function of the system, assuming the knowledge of the range to the object. The instrument is conformed of a two-mirror telescope, two lenses, and a detector. High-quality images and a zoom telescope that ranges from 22 to 61 f-number is achieved by moving the primary mirror and two lenses. The preliminary calculations for the design process and a simulation that shows the performance of the step-zoom telescope are described.

Common-pull, multiple-push, vacuum-activated telescope mirror cell.

A new concept for push-pull active optics is presented, where the push-force is provided by means of individual airbag type actuators and a common force in the form of a vacuum is applied to the entire back of the mirror. The vacuum provides the pull-component of the system, in addition to gravity. Vacuum is controlled as a function of the zenithal angle, providing correction for the axial component of the mirror's weight. In this way, the push actuators are only responsible for correcting mirror deformations, as well as for supporting the axial mirror weight at the zenith, allowing for a uniform, full dynamic-range behavior of the system along the telescope's pointing range. This can result in the ability to perform corrections of up to a few microns for low-order aberrations. This mirror support concept was simulated using a finite element model and was tested experimentally at the 2.12 m San Pedro Mártir telescope. Advantages such as stress-free attachments, lighter weight, large actuator area, lower system complexity, and lower required mirror-cell stiffness could make this a method to consider for future large telescopes.

HyDRa: polishing with a vortex.

We present a hydrodynamic, deterministic polishing tool (HyDRa) based on the fluid-jet polishing (FJP) principle. In contrast to other FJP methods, the polishing flux is accelerated with pressurized air and then expelled at high velocity, forming a radial, grazing abrasive pattern that exerts no net force of the tool on the surface to be polished, since the vacuum and thrust forces that are created at the tool's output balance each other out. The grazing effect minimizes microroughness, making it appropriate for finishing high-quality surfaces. The principle of operation as well as polishing results of a series of small etalon plates are presented.

HyDRa: polishing process convergence rate optimization.

In an effort to optimize the hydrodynamic radial (HyDRa) polishing process for applications where the amount of material that has to be removed implies long polishing times, we have developed a method to determine the optimum correction fraction that has to be made for a given error map, in terms of the level of determinism of the process, the number of iterations, and their associated polishing runs as well as run times.

Low-cost, phase-shifting mechanisms for Newton-type interferometers.

Using standard optical shop equipment, it is possible to implement simple, low-cost, phase-shifting Newton interferometers sufficiently accurate for surface evaluation. The simplification of the phase-shifting mechanism is compensated with image-processing algorithms that can deal with vibrations and uneven, nonsequential steps. The results are cross-compared with a Fizeau phase-shifting interferometer to verify the effectiveness of the method.

Deterministic convergence in iterative phase shifting.

Previous implementations of the iterative phase shifting method, in which the phase of a test object is computed from measurements using a phase shifting interferometer with unknown positions of the reference, do not provide an accurate way of knowing when convergence has been attained. We present a new approach to this method that allows us to deterministically identify convergence. The method is tested with a home-built Fizeau interferometer that measures optical surfaces polished to lambda/100 using the Hydra tool. The intrinsic quality of the measurements is better than 0.5 nm. Other possible applications for this technique include fringe projection or any problem where phase shifting is involved.

Static and dynamic removal rates of a new hydrodynamic polishing tool.

A new tool for hydrodynamic radial polishing, HyDra, allows for the local polishing of optical surfaces with a controllable wear rate. The results of the removal rate for different polisher types and sizes, applied air pressures for slurry expulsion, and tool height with respect to the working surface, are reported. We present a numerical analysis of the volumetric removal rate for the dynamic experiments as well as a comparison with a similar technique.