High-resolution three-dimensional partially coherent diffraction imaging

Clark, Jesse N.; Huang, Xiaojing; Harder, Ross; Robinson, Ian

doi:10.1038/ncomms1994

Cited by 184 publications

(174 citation statements)

References 37 publications

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“…This fact has been found for other ABCD systems in [19,24,26] as well. Note that the FT [·] is optically performed by RL.…”

Section: Appendixsupporting

confidence: 55%

“…The proposed algorithm can also estimate the DSC, which results crucial to reconstruct the object wavefield. This requires an additional routine in the algorithm for the DSC determination, as for example the Richardson-Lucy deconvolution (RLD) reported in [26] for the Fourier transform and generalized in [24] for more complex transformations and systems.…”

Section: Principle Of the MI Recovery Techniquementioning

confidence: 99%

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Rapid quantitative phase imaging for partially coherent light microscopy

Rodrigo¹,

Alieva²

2014

Opt. Express

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Abstract:Partially coherent light provides promising advantages for imaging applications. In contrast to its completely coherent counterpart, it prevents image degradation due to speckle noise and decreases cross-talk among the imaged objects. These facts make attractive the partially coherent illumination for accurate quantitative imaging in microscopy. In this work, we present a non-interferometric technique and system for quantitative phase imaging with simultaneous determination of the spatial coherence properties of the sample illumination. Its performance is experimentally demonstrated in several examples underlining the benefits of partial coherence for practical imagining applications. The programmable optical setup comprises an electrically tunable lens and sCMOS camera that allows for high-speed measurement in the millisecond range.

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“…This fact has been found for other ABCD systems in [19,24,26] as well. Note that the FT [·] is optically performed by RL.…”

Section: Appendixsupporting

confidence: 55%

Section: Principle Of the MI Recovery Techniquementioning

confidence: 99%

Rapid quantitative phase imaging for partially coherent light microscopy

Rodrigo¹,

Alieva²

2014

Opt. Express

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show abstract

“…Similar relations between the intensity distribution of coherent and partially coherent light in the FT and Fresnel domains have been studied in [2,13].…”

mentioning

confidence: 81%

“…This requires an additional iterative routine in the algorithm for the DoC determination, as for example the RichardsonLucy deconvolution (RLD) reported in [13]. In our case, RLD is performed in each iteration step (i) as follows:γ , an arbitrary Gaussian function was used, which can be applied for any SMB because its DoC is such thatγ α is a real-positive function.…”

mentioning

confidence: 99%

Recovery of Schell-model partially coherent beams

Rodrigo

Alieva

2014

Opt. Lett.

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Partially coherent light is often preferable to its completely coherent counterpart in applications such as imaging, sensing, and free-space optical communications. To fully exploit its advantages, techniques able to retrieve information carried by the beam are required. Here, we develop and experimentally demonstrate a phase-space optics technique for complete spatial analysis of widely used Schell-model beams. It allows for fast information recovery and can be applied for quantitative phase imaging of objects under partially coherent illumination. The further development of imaging techniques requires a more realistic model of illumination as partially coherent light instead of its limiting cases: the coherent or incoherent light used so far. Moreover, partially coherent beams have important advantages with respect to completely coherent ones in other relevant applications such as lithography, plasma confinement, and free-space communication, to name a few. The description of partially coherent light is inherently complex, and its characterization is difficult even in the quasi-monochromatic scalar paraxial approximation. Indeed, a two-dimensional (2D) partially coherent beam is described by a complexvalued 4D function, that is, mutual intensity (MI) defined as Γr 1 ; r 2 hf r 1 f r 2 i, where: r 1;2 is the position vector in a plane transverse to the beam propagation direction and h·i stands for ensemble averaging. The coherent case corresponds to Γ c r 1 ; r 2 f r 1 f r 2 . Schell-model partially coherent beams (SMBs) [1], described by Γr 1 ; r 2 f r 1 f r 2 γr 1 − r 2 Γ c r 1 ; r 2 γr 1 − r 2 , where γr is an equal-time complex degree of spatial coherence (DoC), are often used in practical applications. This kind of beam is generated, for example, when a partially coherent plane wave characterized by γr propagates through an object described by a complex modulation function, f r, as sketched in Fig. 1(a). We recall that, according with the van Cittert Zernike theorem, a partially coherent plane wave can be created by collimating light emitted from an incoherent source with intensity distribution I inc r. Specifically, γr ∝ R I inc r 0 exp−i2πr 0 r∕λf cl dr 0 , where λ is the wavelength and f cl is the focal length of the collimating lens [2]. Moreover, the generalization of structurally stable and spiral coherent beams to the partially coherent case is also described by the Schell model [3,4]. In the last decades, special attention has been paid to coherent vortex beams that carry orbital angular momentum (OAM) useful for different applications such as optical tweezers and free-space communications [5]. On the other hand, the SMB vortex has been found more robust than its coherent counterpart to distortions caused by turbulent atmosphere [6,7]. We underline that the valuable information carried by the SMB is often encoded into f r, while γr in most, but not all, cases is known.In this Letter we propose and experimentally demonstrate an iterative MI retrieval technique for arbitrary SMBs with a priori known ...

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“…This embedded calibration step is particularly helpful for making our algorithm more general and easy to implement. We expect it will find use not only in biological microscopes, but also in X-ray and TEM imaging, where source coherence is difficult to control and may change between experiments [45]. The ability to work with partially coherent illumination, along with the simplicity of phasefrom-defocus techniques, eases constraints on experiments, opening up new application areas.…”

Section: Resultsmentioning

confidence: 99%

Partially coherent phase imaging with simultaneous source recovery

Zhong¹,

Tian²,

Dauwels³

et al. 2014

Biomed. Opt. Express

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We propose a new method for phase retrieval that uses partially coherent illumination created by any arbitrary source shape in Köhler geometry. Using a stack of defocused intensity images, we recover not only the phase and amplitude of the sample, but also an estimate of the unknown source shape, which describes the spatial coherence of the illumination. Our algorithm uses a Kalman filtering approach which is fast, accurate and robust to noise. The method is experimentally simple and flexible, so should find use in optical, electron, X-ray and other phase imaging systems which employ partially coherent light. We provide an experimental demonstration in an optical microscope with various condenser apertures.

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High-resolution three-dimensional partially coherent diffraction imaging

Cited by 184 publications

References 37 publications

Rapid quantitative phase imaging for partially coherent light microscopy

Rapid quantitative phase imaging for partially coherent light microscopy

Recovery of Schell-model partially coherent beams

Partially coherent phase imaging with simultaneous source recovery

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