Real-time coherent diffractive imaging with convolution-solvable sampling array.

We propose a noniterative method for real-time measuring and imaging of a complex-valued object based on a specially designed sampling array, named as the convolution-solvable sampling array (CSSA). We demonstrate that the wavefront of an object wave can be directly filtered from the Fourier transform of the diffraction intensity pattern of the object wave through a CSSA. As this method requires only a single measurement of the diffraction intensity pattern and does not need any iterative algorithm and lens systems in principle, it provides a practically valuable approach for real-time imaging of a complex-valued object in a wide range of wavelengths.