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Coherent diffractive imaging with an aperture-array filter: relaxation of the aperture’s size condition

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Abstract

An improvement of the noniterative phase-retrieval method using an aperture-array filter in coherent diffractive imaging is proposed, in which the condition of the aperture’s size can be relaxed. In the previous method, we used a Gaussian approximation of the aperture function of the filter, which is satisfied if the Fresnel number N F concerning each aperture of the filter is <1. Using the improved method, the condition of the Fresnel number is extended to 1 < N F  < 2. This enables us to use an array filter with a larger aperture size than that for N F  < 1, or to more flexibly set the distance parameters of the measurement system. This improvement is useful for the fabrication of the aperture-array filter, particularly in cases of X-ray, electron, and atomic waves, because the smaller extent of the aperture is needed for phase retrieval with decreasing wavelength. Using computer simulations, it is demonstrated that the performance of object reconstruction by the improved method is almost equal to that by the previous method with the same system parameters except for the size of each aperture.

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Acknowledgments

This research was supported by a Grant-in-Aid for Scientific Research (Grant No. 26390081) from the Japan Society for the Promotion of Science.

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  1. Faculty of Engineering, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, Japan

    Nobuharu Nakajima

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  1. Nobuharu Nakajima
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Correspondence to Nobuharu Nakajima.

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Nakajima, N. Coherent diffractive imaging with an aperture-array filter: relaxation of the aperture’s size condition. Opt Rev 22, 753–761 (2015). https://doi.org/10.1007/s10043-015-0121-6

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