Uncalibrated multi-coherent modulation imaging for phase measurement of semi-transparent Fermat-spiral photon sieves

The vortex beam has been widely applied for micromanipulation, biomedicine, and optical communications. Based on the previous work on phase measurement of a vortex beam, we present an uncalibrated multi-coherent modulation imaging technique for quantitative characterization of a Fermat-spiral-based semi-transparent photon sieves. The proposed methodology effectively circumvents stringent optical alignment constraints, thereby streamlining the experimental configuration and enhancing operational reproducibility. Experimental measurements of both reflected and transmitted vortex beam exhibit remarkable consistency with simulations, validating the robustness of the methodology for light-field manipulation.