Phase-shifting lensless Fourier-transform holography with a Chinese Taiji lens

Compared to off-axis holography, phase-shifting technology takes full use of the space-bandwidth product of the detector array. Here we introduce the Chinese Taiji into diffractive lenses and generate the phase-shifting focal spots, which not only can be used for a spherical reference wave, but also make it possible to realize the lensless Fourier-transform holography. The experimental results of a 1951 U.S. Air Force resolution test target verify the validity of the above theory in the optical region. Owing to the amplitude-only diffractive lenses, these kinds of lenses will have great potential in x-ray holography or biochemical microscopy for the next generation of synchrotron radiation and free electron lasers in the future.