The Zernike polynomials are a complete set of continuous functions orthogonal over a unit
circle. Since first developed by Zernike in 1934, they have been in widespread use in many …

We report a method of using a liquid-crystal spatial light modulator (LC-SLM) as
reconfigurable multi-level interferogram-type computer generated holograms (ICGHs) to …

Standard phase-shifting interferometry (PSI) generally requires collecting at least three
phase-shifted interferograms to extract the physical quantity being measured. Here, we …

A null lens moving back and forth relative to a point source can generate variable spherical
aberration for flexible test of aspheres. Different from the previous methods, variable …

Instead of various mathematical stitching algorithms, an aspheric subaperture stitching
interferometric method relying on modern computer modeling technique is presented. Based …

Fringe analysis in two-shot phase-shifting interferometry is important but meets challenges
due to a limited number of images, corrupting noise, and background modulation. Here we …

Interferometry, which measures the difference between a reference surface and a test
surface, is widely used in high-precision testing. Usually the reference surface is considered …

Calibration for misalignment aberrations is one of the challenges in non-null interferometric
aspheric testing. The high-order misalignment aberrations are especially difficult to …

We propose a simple and robust phase demodulation algorithm for two-shot fringe patterns
with random phase shifts. Based on a smoothness assumption, the phase to be recovered is …

Data reduction in non-null tests is difficult due to the presence of retrace error. We propose a
simple yet effective data reduction approach for aspheric testing in a non-null interferometer …