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.

[1]  Cheng-Shan Guo,et al.  Tri-arm multipinhole interferometer for wavefront measurement and diffractive imaging. , 2009, Applied optics.

[2]  Manuel Guizar-Sicairos,et al.  Direct image reconstruction from a Fourier intensity pattern using HERALDO. , 2008, Optics letters.

[3]  Nobuharu Nakajima,et al.  Noniterative phase retrieval from a single diffraction intensity pattern by use of an aperture array. , 2007, Physical review letters.

[4]  K. Nugent,et al.  Quantitative Phase Imaging Using Hard X Rays. , 1996, Physical review letters.

[5]  J. Miao,et al.  Phase retrieval from the magnitude of the Fourier transforms of nonperiodic objects , 1998 .

[6]  Sijiong Zhang,et al.  Generalized phase diversity for wave-front sensing. , 2004, Optics letters.

[7]  Manuel Guizar-Sicairos,et al.  Holography with extended reference by autocorrelation linear differential operation. , 2007, Optics express.

[8]  R. Scholten,et al.  Diffraction-contrast imaging of cold atoms , 2005, physics/0501057.

[9]  O. Bunk,et al.  Coherent diffractive imaging using phase front modifications. , 2008, Physical review letters.

[10]  S. Eisebitt,et al.  Lensless imaging of magnetic nanostructures by X-ray spectro-holography , 2004, Nature.

[11]  A. G. Cullis,et al.  Hard-x-ray lensless imaging of extended objects. , 2007, Physical review letters.

[12]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[13]  M M Murnane,et al.  Tabletop soft-x-ray Fourier transform holography with 50 nm resolution. , 2009, Optics letters.