Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification

Self-interference incoherent digital holography (SIDH) retrieves the complex hologram from the object illuminated by the incoherent light. Supported by the adaptive optic feature, SIDH is readily applicable to the ocular imaging to investigate the human retinal cells. Considering the practical issues, issues related to resolution, phase-shifting, and contrast should be addressed to implement the viable SIDH system which is capable of recording the holographic information of human retinal cells under the incoherent illumination. Super resolution image reconstruction technique can be directly applied to SIDH to enhance the resolution of the system without any change of configuration. We present the improved way to incorporate the phase-shifting itself into the lateral shift required by the super resolution technique. To deal with the phase-shifting issue, we present an arbitrary phase shift retrieval algorithm which can reduce the number of phase-shift and accept the blind phase-shift. The single-shot imaging is also possible by adopting the off-axis configuration of SIDH. We will provide the detailed procedures to retrieve the complex hologram using the proposed arbitrary phase shifting algorithm and the off-axis configuration.

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“…Some research groups developed many schemes to take an advantage of phase-shifting in more convenient way [13]–[15]. Xu et al .…”

Section: Unknown Arbitrary Phase Shifting Interferometrymentioning

confidence: 99%

“…Xu et al . reported about the algorithm to retrieve the complex hologram using only two phase-shifted images with arbitrary phase-shift values [15]. In their approach, the number of exposures can be reduced and the exact phase-shift values are not necessary.…”

Section: Unknown Arbitrary Phase Shifting Interferometrymentioning

confidence: 99%

Overview of techniques applicable to self-interference incoherent digital holography

Hong

Kim

2013

J. Eur. Opt. Soc.-Rapid Publ.

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“…There are many methods for measurement of the phase shift using displacement of interferograms [2][3][4][5][6][7][8][9][10][11][12][13]. One recent method has been suggested in [14].…”

Section: Introductionmentioning

confidence: 99%

Measuring technique of a phase shift based on Fourier analysis of differential interferograms

2015

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Interferometry employing the phase-stepping method requires precise knowledge of the phase shift. A new approach to measuring a phase shift between three interferograms that is based on the Fourier analysis of three new interferograms formed using the differences between different pairs of the initial interferograms has been suggested. Possibilities of increasing the accuracy of measuring the phase shift have been considered.

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“…Cai et al [21] developed a generalized phase-shifting interferometry (GPSI) technique for more convenience and high precision in phaseshifting interferometry. Several two-step GPSI methods [22][23][24][25][26] were recently introduced to achieve a higher precision of the extracted phase shift and a higher quality of the reconstructed image.…”

Section: Introductionmentioning

confidence: 99%

Phase stitching and error correction in aperture synthesis for generalized phase-shifting interferometry

Han

et al. 2013

Appl. Opt.

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An accurate aperture synthesis method in generalized phase-shifting interferometry is suggested to improve the quality of the reconstructed object wavefront by stitching both the phase and the real amplitude of the object wave on the recording plane. Since the phase distribution affects the reconstruction of the original object wavefront, phase stitching is also important in aperture synthesis. Double correlations are used to find the proper relative locations and correct the phase error of subwavefronts on the recording plane. By using phase correction, the phase distributions of subwavefronts are combined perfectly. Corresponding optical experimental results have verified the effectiveness of this method, which can stitch not only the real amplitudes but also the phases of the complex amplitudes of the object wave on the recording plane and improve the quality of the reconstructed object image.

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Generalized phase-shifting interferometry with arbitrary unknown phase shifts: Direct wave-front reconstruction by blind phase shift extraction and its experimental verification

Cited by 66 publications

References 19 publications

Overview of techniques applicable to self-interference incoherent digital holography

Overview of techniques applicable to self-interference incoherent digital holography

Measuring technique of a phase shift based on Fourier analysis of differential interferograms

Phase stitching and error correction in aperture synthesis for generalized phase-shifting interferometry

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