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 "title": "Phase-contrast imaging",
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 "excerpt": "Phase-contrast imaging is a family of techniques that converts phase shifts of light, X-rays, or electrons into intensity contrast, revealing weakly absorbing structures; Frits Zernike invented the method in 1934.",
 "snippet": "Phase-contrast imaging is a family of techniques that converts phase shifts of light, X-rays, or electrons into intensity contrast, revealing weakly absorbing structures; Frits Zernike invented the method in 1934.",
 "node": "physical.physics.practice",
 "markdown": "# Phase-contrast imaging\n\nPhase-contrast imaging is a family of techniques that converts phase shifts imparted to light, X-rays, or electrons passing through a specimen into visible intensity contrast, revealing structures that absorb too weakly to be seen directly. Zernike stated the core result for light microscopy: transparent details that differ in thickness or refractive index appear as differences of intensity in the image.<sup>[1](https://www.sciencedirect.com/science/article/abs/pii/S0031891442800798)</sup> Nearly all objects of biological or medical interest are such \"phase objects\", almost invisible in ordinary bright-field imaging.<sup>[2](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)</sup> The need is greatest for hard X-rays: between 10 and 150 keV the refractive-index decrement \\( \\delta \\) of tissue (\\( 10^{-6} \\) to \\( 10^{-8} \\)) is nearly 1000 times larger than the absorption term \\( \\beta \\) (\\( 10^{-9} \\) to \\( 10^{-11} \\)), so phase effects carry far more contrast than absorption.<sup>[3](https://ufn.ru/ufn2023/ufn2023_10/ufn2310b.pdf)</sup>\n\n| Key fact | Value | Source |\n|---|---|---|\n| What is converted | Phase shifts from thickness or refractive-index differences into intensity | <sup>[1](https://www.sciencedirect.com/science/article/abs/pii/S0031891442800798)</sup> |\n| Why X-rays need it | \\( \\delta \\approx \\) \\( 10^{-6} \\)–\\( 10^{-8} \\) vs \\( \\beta \\approx \\) \\( 10^{-9} \\)–\\( 10^{-11} \\), a factor of ~1000, for 10–150 keV | <sup>[3](https://ufn.ru/ufn2023/ufn2023_10/ufn2310b.pdf)</sup> |\n| Zernike phase ring | Attenuates background light 70–90% and advances direct light by 90° (λ/4) | <sup>[4](https://home.uni-leipzig.de/pwm/web/?page=phasecontrast&section=introduction)</sup> |\n| Light-microscopy sensitivity | Phase differences of 1/20 of a wavelength still produce contrast | <sup>[5](https://www.med.unc.edu/microscopy/wp-content/uploads/sites/742/2018/06/lm-ch-10-phase-contrast.pdf)</sup> |\n| X-ray variant sensitivity | Edge illumination reaches nanoradian angular resolution at 12 and 85 keV | <sup>[6](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.138105)</sup> |\n| Grating-based CT break-even | gbPC-CT beats attenuation CT beyond 214 µm resolution at 65 mGy (CNR 5) | <sup>[7](https://www.nature.com/articles/s41598-024-83517-x)</sup> |\n\n## How it works\n\nA specimen that does not absorb still delays the wave passing through it; the image-forming wave therefore carries phase variations that a detector, which records only intensity, cannot see. Every phase-contrast method arranges for phase to be reconverted into intensity, by interference. In Zernike's scheme, a phase strip in the focal plane introduces a path difference of \\( \\lambda/4 \\) between the diffracted spectra and the central (undeviated) light<sup>[1](https://www.sciencedirect.com/science/article/abs/pii/S0031891442800798)</sup>; the direct and diffracted light then interfere so that transparent details appear as if they were absorbing, an effect Zernike called \"optically staining\".<sup>[2](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)</sup> Recombining background and object light with an effective phase shift of about 180° produces destructive interference, so the object appears dark on a bright background.<sup>[4](https://home.uni-leipzig.de/pwm/web/?page=phasecontrast&section=introduction)</sup>\n\nX-ray variants use different conversion mechanisms. Propagation-based contrast needs no optical element: after propagating a distance \\( z \\), the [Fresnel diffraction](https://www.edgepedia.org/fresnel-diffraction) pattern depends on both the intensity and the phase of the unpropagated field, so phase variations generate intensity fringes absent from the contact image.<sup>[8](https://ar5iv.labs.arxiv.org/html/1902.00364)</sup> Grating interferometry instead measures the refraction angle: a Talbot (self-image) fringe pattern is distorted by the specimen's phase gradient, and phase stepping, which typically uses multiple exposures at different grating positions, or Fourier demodulation, which can retrieve the signals from a single exposure in suitable configurations, separates absorption, differential phase, and dark-field (fringe-visibility loss from small-angle scattering).<sup>[3](https://ufn.ru/ufn2023/ufn2023_10/ufn2310b.pdf)</sup> In the near-field regime the propagation-based signal is proportional to the phase Laplacian, while analyzer-based and grating-based signals are proportional to the refraction angle, so propagation-based methods are most sensitive to higher spatial frequencies.<sup>[9](https://boa.unimib.it/retrieve/e39773b8-6051-35a3-e053-3a05fe0aac26/diemoz_optexpr_2012.pdf)</sup>\n\n## How it is done\n\nA Zernike phase-contrast light microscope uses an annular aperture in the condenser's front focal plane, producing a hollow cone of illumination, and a matching phase ring in the objective's back focal plane. The ring attenuates the background light by 70 to 90% and advances the direct light by a quarter wavelength, so direct and diffracted light emerge about half a wavelength out of phase for maximum interference.<sup>[5](https://www.med.unc.edu/microscopy/wp-content/uploads/sites/742/2018/06/lm-ch-10-phase-contrast.pdf)</sup><sup> • </sup><sup>[4](https://home.uni-leipzig.de/pwm/web/?page=phasecontrast&section=introduction)</sup> [Alignment](https://www.edgepedia.org/alignment) follows [Köhler illumination](https://www.edgepedia.org/kohler-illumination): focus the objective, insert the annulus matching that objective, replace an eyepiece with a phase telescope, and translate the phase ring until it coincides with the annulus image; repeat for each objective and annulus pair.<sup>[5](https://www.med.unc.edu/microscopy/wp-content/uploads/sites/742/2018/06/lm-ch-10-phase-contrast.pdf)</sup>\n\nQuantitative phase retrieval converts contrast images into phase or electron-density values. For propagation-based data, the transport-of-intensity equation (TIE) links phase to intensity derivatives in the small-propagation-distance regime.<sup>[8](https://ar5iv.labs.arxiv.org/html/1902.00364)</sup> Paganin-type \"half phase\" retrieval assumes a single material (one \\( \\delta/\\beta \\) ratio, e.g. 275 at 32 keV for breast tissue)<sup>[10](https://iopscience.iop.org/article/10.1088/1361-6560/ae3c54)</sup>, and such single-image algorithms are strictly quantitative only for monochromatic beams and single-material objects, unless energies exceed about 60 keV.<sup>[11](https://www.mdpi.com/1996-1944/5/5/937)</sup> In grating-based phase-contrast CT the differential phase is integrated during reconstruction with a Hilbert filter to yield electron density.<sup>[7](https://www.nature.com/articles/s41598-024-83517-x)</sup> [In-line holography](https://www.edgepedia.org/in-line-holography) measures the Laplacian of the electron density, which makes accurate density reconstruction difficult, so it is mostly used for [edge enhancement](https://www.edgepedia.org/edge-enhancement).<sup>[12](https://pmc.ncbi.nlm.nih.gov/articles/PMC3747977/)</sup> PIPN, a physics-inspired phase retrieval network reported by Ziyao Wang and colleagues in Optics Letters, Vol. 51, No. 2, pp. 460-463 (2026), performs single-distance phase retrieval from one approximation condition and a physics imaging model, with no training data, and stays stable across propagation distances.<sup>[13](https://doi.org/10.1364/ol.581596)</sup>\n\n## Origin\n\nThe phase-contrast method was described by F. Zernike in 1934, in the [Monthly Notices of the Royal Astronomical Society](https://www.edgepedia.org/monthly-notices-of-the-royal-astronomical-society), in a paper developing the diffraction theory of the knife-edge test for mirrors and its improved form, the phase-contrast method; the companion application paper by Burch and Stratton in the same issue was communicated by Stratton, not coauthored by Zernike.<sup>[14](https://doi.org/10.1093/mnras/94.5.377)</sup> Zernike's interest in phase gratings dates from 1920, and experiments around 1930 established the \\( \\lambda/4 \\) path difference between a spectral main beam and its satellites that paved the way to the 1932 invention.<sup>[15](https://nijboerzernike.nl/_PDF/Zernike_Phase_Contrast_JB_NTvN_2023_English.pdf)</sup> The primitive method was demonstrated at the Zeiss Works in Jena, where it \"was not received with such enthusiasm as I had expected\".<sup>[2](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)</sup> The method was introduced into microscopic practice by A. Köhler and W. Loos in 1941<sup>[16](https://doi.org/10.1007/978-3-642-51845-4_6)</sup>, and Zernike's full two-part treatment appeared in Physica in 1942.<sup>[1](https://www.sciencedirect.com/science/article/abs/pii/S0031891442800798)</sup> The principle was independently rediscovered while studying ripples on polished lenses.<sup>[2](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)</sup> Licenses brought Leitz and [Nikon](https://www.edgepedia.org/nikon) into production alongside Zeiss, and the 1953 [Nobel Prize in Physics](https://www.edgepedia.org/nobel-prize-in-physics) accelerated adoption.<sup>[15](https://nijboerzernike.nl/_PDF/Zernike_Phase_Contrast_JB_NTvN_2023_English.pdf)</sup>\n\n## Variants\n\nX-ray phase imaging comprises several main streams: Zernike [X-ray microscopy](https://www.edgepedia.org/x-ray-microscopy), [X-ray holography](https://www.edgepedia.org/x-ray-holography), differential X-ray microscopy, coherent diffraction microscopy, crystal interferometry, grating interferometry, diffraction-enhanced imaging (DEI), and propagation-based techniques.<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup> Their introducing papers span three decades: analyzer-based imaging of weakly absorbing materials (Davis, Gao, Gureyev, Stevenson, and Wilkins, Nature 1995)<sup>[18](https://doi.org/10.1038/373595a0)</sup>; propagation-based imaging with polychromatic hard X-rays (Wilkins, Gureyev, Gao, Pogany, and Stevenson, Nature 1996)<sup>[19](https://doi.org/10.1038/384335a0)</sup>; crystal-interferometer phase-contrast tomography of soft tissue (Momose, Takeda, Itai, and Hirano, Nature Medicine 1996)<sup>[20](https://doi.org/10.1038/nm0496-473)</sup>; holotomography, quantitative phase tomography at micrometer resolution (Cloetens and colleagues, [Applied Physics Letters](https://www.edgepedia.org/applied-physics-letters) 1999)<sup>[21](https://doi.org/10.1063/1.125225)</sup>; a shearing-grating differential phase interferometer (David, Nöhammer, Solak, and Ziegler, 2002)<sup>[22](https://doi.org/10.1063/1.1516611)</sup>; two-grating Talbot interferometry (Momose and colleagues, 2003)<sup>[23](https://doi.org/10.1143/jjap.42.l866)</sup>; the grating interferometer (Weitkamp and colleagues, Optics Express 2005)<sup>[24](https://doi.org/10.1364/opex.13.006296)</sup>; hard-X-ray phase tomography with low-brilliance sources (Pfeiffer, Kottler, Bunk, and David, 2007)<sup>[25](https://doi.org/10.1103/physrevlett.98.108105)</sup>; and hard-X-ray dark-field imaging with a grating interferometer (Pfeiffer and colleagues, Nature Materials 2008).<sup>[26](https://doi.org/10.1038/nmat2096)</sup>\n\nThe variants differ mainly in source requirements. X-ray phase-contrast microscopy with a [Fresnel zone](https://www.edgepedia.org/fresnel-zone) plate at 2.4 nm radiation converts phase to amplitude directly without numerical retrieval, works with a low-brilliance laboratory source, and delivered one-sixth the dose of an absorption image at the same signal-to-noise ratio.<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup> The Talbot-Lau interferometer adds a source grating \\( G_{0} \\) that creates an array of individually coherent but mutually incoherent sources, making differential phase contrast possible with ordinary low-brilliance tubes (Pfeiffer, Weitkamp, Bunk, and David, Nature Physics 2006)<sup>[27](https://doi.org/10.1038/nphys265)</sup>; its three gratings typically have periods of 1 to 20 µm, and phase stepping of \\( G_{2} \\) yields attenuation, differential phase, and dark-field simultaneously.<sup>[28](https://www.ncbi.nlm.nih.gov/books/NBK546148/)</sup> Edge illumination, demonstrated with nanoradian angular sensitivity at 12 and 85 keV, tolerates a broad range of experimental conditions.<sup>[6](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.138105)</sup> [Ptychography](https://www.edgepedia.org/ptychography) combines scanning transmission X-ray microscopy with coherent diffraction imaging for iterative phase retrieval.<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup> No single X-ray method is superior in all circumstances; each has relative strengths and weaknesses.<sup>[8](https://ar5iv.labs.arxiv.org/html/1902.00364)</sup> [Interferometric imaging](https://www.edgepedia.org/interferometric-imaging) has higher density sensitivity than DEI at equal dose, while DEI tolerates a wider density dynamic range.<sup>[29](https://aapm.onlinelibrary.wiley.com/doi/10.1118/1.2977543)</sup> Grating-based methods measure the first derivative of the phase shift, whereas propagation-based data contain essentially the second derivative, which complicates the evaluation of noisy data.<sup>[30](https://www.ndt.net/article/dir2007/papers/30.pdf)</sup>\n\n## Applications\n\nIn cell biology, Zernike X-ray phase-contrast microscopy imaged cells in polymer scaffolds at 150 nm resolution with a commercial source in 2017, with halo effects removed by deconvolution<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup>; Zernike X-ray microscopy, grating interferometry, and propagation-based imaging are all now used commercially.<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup> In medicine, in-line holography is the only phase-contrast technique in clinical practice, marketed as edge enhancement in the Konica Minolta RegiusPureView system.<sup>[12](https://pmc.ncbi.nlm.nih.gov/articles/PMC3747977/)</sup> In materials science and nondestructive testing, grating-based dark-field detects scattering centers smaller than the pixel size, revealing small cracks and voids invisible to conventional absorption imaging.<sup>[31](https://www.ndt.net/article/dir2011/papers/tu12.pdf)</sup> A laboratory phase-contrast X-ray microscope achieved nondestructive 3D virtual histology of unstained liver tissue with subcellular resolution, including machine-learning virtual H&E staining.<sup>[32](https://www.pnas.org/doi/abs/10.1073/pnas.2525239123)</sup>\n\n## Limitations and alternatives\n\nThe classic light-microscopy artifacts are the phase halo, a diffuse ring of opposite intensity surrounding the specimen caused by the phase strip acting on diffracted light, and the shade-off effect within the specimen.<sup>[5](https://www.med.unc.edu/microscopy/wp-content/uploads/sites/742/2018/06/lm-ch-10-phase-contrast.pdf)</sup><sup> • </sup><sup>[2](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)</sup> X-ray Zernike microscopy shows the same halo effect and gives lower contrast than absorption images on thick samples.<sup>[17](https://www.mdpi.com/2076-3417/11/7/2971)</sup> Coherence is a recurring constraint: propagation-based imaging needs high spatial coherence, met by a distant source or a source a few tens of microns or smaller, but tolerates polychromatic light<sup>[11](https://www.mdpi.com/1996-1944/5/5/937)</sup>; a diagnostic tube with a ~1.0 mm focal spot provides too little spatial coherence for grating configurations that require it, although Talbot-Lau systems use a source grating to work with such large-focal-spot, low-brilliance tubes<sup>[12](https://pmc.ncbi.nlm.nih.gov/articles/PMC3747977/)</sup>; and microfocus tubes suffer low flux, limiting practical use.<sup>[28](https://www.ncbi.nlm.nih.gov/books/NBK546148/)</sup> Grating-based CT introduces phase wrapping, with true phase values mapped into \\( -\\pi \\) to \\( +\\pi \\), plus beam-hardening-like artifacts, and material-science applications near 100 keV demand absorber grating aspect ratios above 100 while realized structure heights reach only ~0.1 mm.<sup>[31](https://www.ndt.net/article/dir2011/papers/tu12.pdf)</sup>\n\nDose comparisons do not point in one direction. For thin biological cells, water-window absorption imaging needs far lower dose and fluence than phase-contrast methods and is the method of choice for thin specimens with a high-efficiency zone plate.<sup>[33](https://pmc.ncbi.nlm.nih.gov/articles/PMC6140389/)</sup> A Talbot-Lau system is roughly half as dose-effective as a conventional X-ray system because the \\( G_{2} \\) grating absorbs part of the beam.<sup>[28](https://www.ncbi.nlm.nih.gov/books/NBK546148/)</sup> Yet propagation-based CT with TIE retrieval has delivered over 1000 times lower dose than conventional imaging under matched conditions<sup>[34](https://www.nature.com/articles/s41598-025-92857-1)</sup>, and Raupach and Flohr argued theoretically that phase contrast does not reduce absorbed dose relative to absorption contrast for many biological samples.<sup>[35](https://iopscience.iop.org/article/10.1088/1361-6560/ad1f84)</sup> The comparison therefore depends on variant, energy, resolution target, and retrieval method, and published comparisons do not settle it.\n\n## References\n\n1. [Zernike, Phase contrast, a new method for the microscopic observation of transparent objects (Part II), Physica 9(10), 1942](https://www.sciencedirect.com/science/article/abs/pii/S0031891442800798)\n2. [F. Zernike, Nobel Lecture 1953: 'How I Discovered Phase Contrast'](https://www.nobelprize.org/uploads/2018/06/zernike-lecture.pdf)\n3. [Talbot and Talbot–Lau X-ray interferometers (Physics–Uspekhi, 2023)](https://ufn.ru/ufn2023/ufn2023_10/ufn2310b.pdf)\n4. [Introduction: Phase Contrast Microscopy (PCM), University of Leipzig Soft Matter Physics Division](https://home.uni-leipzig.de/pwm/web/?page=phasecontrast&section=introduction)\n5. [Phase Contrast (light microscopy chapter, UNC microscopy facility)](https://www.med.unc.edu/microscopy/wp-content/uploads/sites/742/2018/06/lm-ch-10-phase-contrast.pdf)\n6. [Diemoz et al., X-Ray Phase-Contrast Imaging with Nanoradian Angular Resolution (PRL 110, 138105, 2013)](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.110.138105)\n7. [Self-supervised denoising of grating-based phase-contrast computed tomography (Scientific Reports, 2024)](https://www.nature.com/articles/s41598-024-83517-x)\n8. [Tutorials on X-ray Phase Contrast Imaging: Some Fundamentals and Some Conjectures on Future Developments (arXiv)](https://ar5iv.labs.arxiv.org/html/1902.00364)\n9. [Diemoz, Bravin, Coan: Theoretical comparison of three X-ray phase-contrast imaging techniques: propagation-based, analyzer-based and grating interferometry (Optics Express 20(3), 2789-2805, 2012)](https://boa.unimib.it/retrieve/e39773b8-6051-35a3-e053-3a05fe0aac26/diemoz_optexpr_2012.pdf)\n10. [Amplifying image quality gain in x-ray phase contrast imaging of mastectomy samples with deep learning denoising (Physics in Medicine & Biology, 2025/2026)](https://iopscience.iop.org/article/10.1088/1361-6560/ae3c54)\n11. [In-Line Phase-Contrast X-ray Imaging and Tomography for Materials Science (Materials, 2012)](https://www.mdpi.com/1996-1944/5/5/937)\n12. [X-ray phase sensitive imaging methods: basic physical principles and potential medical applications](https://pmc.ncbi.nlm.nih.gov/articles/PMC3747977/)\n13. [Ziyao Wang and colleagues (2025). PIPN: Physics-inspired phase retrieval network for propagation-based X-ray phase-contrast imaging. Optics Letters.](https://doi.org/10.1364/ol.581596)\n14. [F. Zernike, F. J. M. Stratton (1934). Diffraction Theory of the Knife-Edge Test and its Improved Form, The Phase-Contrast Method. Monthly Notices of the Royal Astronomical Society.](https://doi.org/10.1093/mnras/94.5.377)\n15. [The invention of the phase contrast microscope by Frits Zernike (Nederlands Tijdschrift voor Natuurkunde historical review)](https://nijboerzernike.nl/_PDF/Zernike_Phase_Contrast_JB_NTvN_2023_English.pdf)\n16. [A. Köhler, W. Loos (1941). Das Phasenkontrastverfahren und seine Anwendungen in der Mikroskopie. Die Naturwissenschaften.](https://doi.org/10.1007/978-3-642-51845-4_6)\n17. [Principles of Different X-ray Phase-Contrast Imaging: A Review (Applied Sciences, 2021)](https://www.mdpi.com/2076-3417/11/7/2971)\n18. [T. J. Davis and colleagues (1995). Phase-contrast imaging of weakly absorbing materials using hard X-rays. Nature.](https://doi.org/10.1038/373595a0)\n19. [S. W. Wilkins and colleagues (1996). Phase-contrast imaging using polychromatic hard X-rays. Nature.](https://doi.org/10.1038/384335a0)\n20. [Atsushi Momose and colleagues (1996). Phase–contrast X–ray computed tomography for observing biological soft tissues. Nature Medicine.](https://doi.org/10.1038/nm0496-473)\n21. [P. Cloetens and colleagues (1999). Holotomography: Quantitative phase tomography with micrometer resolution using hard synchrotron radiation x rays. Applied Physics Letters.](https://doi.org/10.1063/1.125225)\n22. [C. David and colleagues (2002). Differential x-ray phase contrast imaging using a shearing interferometer. Applied Physics Letters.](https://doi.org/10.1063/1.1516611)\n23. [Atsushi Momose and colleagues (2003). Demonstration of X-Ray Talbot Interferometry. Japanese Journal of Applied Physics.](https://doi.org/10.1143/jjap.42.l866)\n24. [Timm Weitkamp and colleagues (2005). X-ray phase imaging with a grating interferometer. Optics Express.](https://doi.org/10.1364/opex.13.006296)\n25. [F. Pfeiffer and colleagues (2007). Hard X-Ray Phase Tomography with Low-Brilliance Sources. Physical Review Letters.](https://doi.org/10.1103/physrevlett.98.108105)\n26. [F. Pfeiffer and colleagues (2008). Hard-X-ray dark-field imaging using a grating interferometer. Nature Materials.](https://doi.org/10.1038/nmat2096)\n27. [Franz Pfeiffer and colleagues (2006). Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources. Nature Physics.](https://doi.org/10.1038/nphys265)\n28. [Chapter 9 X-ray Phase Contrast: Research on a Future Imaging Modality (NCBI Bookshelf)](https://www.ncbi.nlm.nih.gov/books/NBK546148/)\n29. [Quantitative comparison of imaging performance of x-ray interferometric imaging and diffraction enhanced imaging (Medical Physics, 2008)](https://aapm.onlinelibrary.wiley.com/doi/10.1118/1.2977543)\n30. [Engelhardt et al., High resolution differential phase contrast imaging using microfocus X-ray sources (DIR 2007)](https://www.ndt.net/article/dir2007/papers/30.pdf)\n31. [The Benefits and Challenges of Differential Phase Contrast Imaging for Material Science (NDT.net, DIR 2011)](https://www.ndt.net/article/dir2011/papers/tu12.pdf)\n32. [Three-dimensional high-content imaging of unstained soft tissue with subcellular resolution using a laboratory-based X-ray microscope (PNAS, 2026)](https://www.pnas.org/doi/abs/10.1073/pnas.2525239123)\n33. [A comparison of absorption and phase contrast for X-ray imaging of biological cells (Journal of Synchrotron Radiation)](https://pmc.ncbi.nlm.nih.gov/articles/PMC6140389/)\n34. [Low-dose, high-resolution CT of infant-sized lungs via propagation-based phase contrast (Scientific Reports, 2025)](https://www.nature.com/articles/s41598-025-92857-1)\n35. [Analyzer-free hard x-ray interferometry (Physics in Medicine & Biology, 2024)](https://iopscience.iop.org/article/10.1088/1361-6560/ad1f84)\n\n---\n*Topic: Encyclopedia › Physical world and mathematics › Physics › Physics methods, practice, and community*\n\n*Initially written Sep 29, 2026 · Edited: Oct 15, 2026*\n\n*Copyright 2026 EdgeChat AI, a subsidiary of Biostate AI.*\n\nLicense: Edgepedia Community License 1.0, https://www.edgepedia.org/edgepedia/license\n",
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 "credit": "\"Phase-contrast imaging\", Edgepedia (EdgeChat), https://www.edgepedia.org/phase-contrast-imaging. Edgepedia Community License 1.0.",
 "credit_md": "\"[Phase-contrast imaging](https://www.edgepedia.org/phase-contrast-imaging)\", Edgepedia (EdgeChat), [https://www.edgepedia.org/phase-contrast-imaging](https://www.edgepedia.org/phase-contrast-imaging). [Edgepedia Community License 1.0](https://www.edgepedia.org/edgepedia/license).",
 "credit_html": "\"<a href=\"https://www.edgepedia.org/phase-contrast-imaging\">Phase-contrast imaging</a>\", Edgepedia (EdgeChat), <a href=\"https://www.edgepedia.org/phase-contrast-imaging\">https://www.edgepedia.org/phase-contrast-imaging</a>. <a href=\"https://www.edgepedia.org/edgepedia/license\">Edgepedia Community License 1.0</a>.",
 "speakable": "Phase-contrast imaging is a family of techniques that converts phase shifts of light, X-rays, or electrons into intensity contrast, revealing weakly absorbing structures; Frits Zernike invented the method in 1934."
}
