The holographic twin image problem: a deterministic phase solution

Tiller, Justine B.; Barty, Anton; Paganin, D.; Nugent, Keith A.

doi:10.1016/s0030-4018(00)00852-x

Cited by 17 publications

(19 citation statements)

References 19 publications

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“…For visible light this procedure was already implemented in [16], but an implementation and demonstration in the x-ray regime was so far missing. This general reconstruction scheme is illustrated in Fig.…”

Section: Phase Retrieval For Solving the Twin Image Problemmentioning

confidence: 99%

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Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging

Krenkel¹,

Bartels²,

Salditt³

2013

Opt. Express

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Abstract:We have implemented a deterministic method for solving the phase problem in hard x-ray in-line holography which overcomes the twin image problem. The phase distribution in the detector plane is retrieved by using two images with slightly different Fresnel numbers. We then use measured intensities and reconstructed phases in the detection plane to compute the exit wave in the sample plane. No further a priori information like a limited support or the assumption of pure phase objects is necessary so that it can be used for a wide range of complex samples. Using a nano-focused hard x-ray beam half period resolutions better than 30 nm are achieved.

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Section: Phase Retrieval For Solving the Twin Image Problemmentioning

confidence: 99%

“…The additional phase information solves the twin image problem and the zeros in the CTF are automatically (partially) compensated by imposing the phase information. This method was used before for visible light [16] but has never been implemented for x-rays. Furthermore, the approximation can be easily controlled by adjusting Δz.…”

Section: Introductionmentioning

confidence: 99%

Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging

Krenkel¹,

Bartels²,

Salditt³

2013

Opt. Express

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“…An extension of this method [3] involves altering the phase of the reference beam in order to extract the holographic data in a method akin to that used in phase-shifting DH [4]. Under specific conditions, the transport of intensity equation (TIE) [5,6] can be applied to in-line DH to minimize the effects due to the twin image. Recently it has been shown that, by Fresnel propagating the difference of two such holograms, recorded at two displaced planes, the resultant reconstruction is the second-order spatial differentiation or Laplacian of the reconstructed object wave field [7,8].…”

mentioning

confidence: 99%

Dual wavelength digital holographic Laplacian reconstruction

Ryle

Sheridan

2010

Opt. Lett.

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“…QPI allows measuring accurately biological and technological processes in several wavelengths regimes that have helped to reveal features of the structure of the samples under study [1][2][3][4] . Although exist a big diversity of techniques to carry out QPI, Deterministic Phase Retrieval Techniques (DPRTs) present a straightforward solution due to these techniques does not employ interferography techniques 5,6 or iterative algorithms based on the backward-forward wave-propagation of the captured intensities 2,7,8 . DPRTs seek to obtain the phase information from a sequence of through focus intensities 1,9,10 taking advantage of the properties of the Fresnel approximation.…”

Section: Introductionmentioning

confidence: 99%

“…Such configuration has been applied intensively in the X-ray community 1,9,12,19 due to the lack of cheap and reliably optics in this wavelength regime, although some applications have been carried out for the visible spectrum 6,29 . An advantage of the employment of the spherical illumination is that the acquisition of the intensities can be done free of optical aberrations given that no lenses are used 5,6 . However, when capturing the intensities in different positions along the propagation axis, the transversal resolution changes.…”

Section: Introductionmentioning

confidence: 99%

Deterministic phase retrieval employing spherical illumination

2015

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Deterministic Phase Retrieval techniques (DPRTs) employ a series of paraxial beam intensities in order to recover the phase of a complex field. These paraxial intensities are usually generated in systems that employ plane-wave illumination. This type of illumination allows a direct processing of the captured intensities with DPRTs for recovering the phase. Furthermore, it has been shown that intensities for DPRTs can be acquired from systems that use spherical illumination as well. However, this type of illumination presents a major setback for DPRTs: the captured intensities change their size for each position of the detector on the propagation axis. In order to apply the DPRTs, reescalation of the captured intensities has to be applied. This condition can increase the error sensitivity of the final phase result if it is not carried out properly. In this work, we introduce a novel system based on a Phase Light Modulator (PLM) for capturing the intensities when employing spherical illumination. The proposed optical system enables us to capture the diffraction pattern of under, in, and over-focus intensities. The employment of the PLM allows capturing the corresponding intensities without displacing the detector. Moreover, with the proposed optical system we can control accurately the magnification of the captured intensities. Thus, the stack of captured intensities can be used in DPRTs, overcoming the problems related with the resizing of the images. In order to prove our claims, the corresponding numerical experiments will be carried out. These simulations will show that the retrieved phases with spherical illumination are accurate and can be compared with those that employ plane wave illumination. We demonstrate that with the employment of the PLM, the proposed optical system has several advantages as: the optical system is compact, the beam size on the detector plane is controlled accurately, and the errors coming from mechanical motion can be suppressed easily.

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The holographic twin image problem: a deterministic phase solution

Cited by 17 publications

References 19 publications

Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging

Transport of intensity phase reconstruction to solve the twin image problem in holographic x-ray imaging

Dual wavelength digital holographic Laplacian reconstruction

Deterministic phase retrieval employing spherical illumination

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