X-ray volumetric quantitative phase imaging by Foucault differential filtering with linear scanning

Young-Sung Park; Jieun Hong; Jaeho Choi

doi:10.3788/COL202321.013401

[1] B. G. Ziedses des Plantes. Eine Neue Methode Zur Differenzierung in der Rontgenographie (Planigraphies). Acta Radiol., 13, 182(1932).

[2] L. Helfen, T. Baumbach, P. Mikulik, D. Kiel, P. Pernot, P. Cloetens, J. Baruchel. High-resolution three-dimensional imaging of flat objects by synchrotron-radiation computed laminography. Appl. Phys. Lett., 86, 071915(2005).

[3] K. Krug, L. Porra, P. Coan, A. Wallert, J. Dik, A. Coerdt, A. Bravin, P. Reischig, M. Elyyan, L. Helfen, T. Baumbach. Relics in medieval altarpieces? Combining X-ray tomographic, laminographic and phase-contrast imaging to visualize thin organic objects in paintings. J. Synchrotron Rad., 15, 55(2008).

[4] F. Xu, L. Helfen, A. J. Moffat, G. Johnson, I. Sinclairb, T. Baumbach. Synchrotron radiation computed laminography for polymer composite failure studies. J. Synchrotron Rad., 17, 222(2010).

[5] V. Altapova, L. Helfen, A. Myagotin, D. Hänschke, J. Moosmann, J. Gunneweg, T. Baumbach. Phase contrast laminography based on Talbot interferometry. Opt. Express, 20, 6496(2012).

[6] R. Gradl, M. Dierolf, L. Hehn, B. Günther, A. Ö. Yildirim, B. Gleich, K. Achterhold, F. Pfeiffer, K. S. Morgan. Propagation-based phase-contrast X-ray imaging at a compact light source. Sci. Rep., 7, 4908(2017).

[7] M. Krenkel, M. Töpperwien, C. Dullin, F. Alves, T. Salditt. Propagation-based phase-contrast tomography for high-resolution lung imaging with laboratory sources. AIP Adv., 6, 035007(2016).

[8] P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landuyt, J. P. Guigay. Holotomography: quantitative phase tomography with micrometer resolution using hard synchrotron radiation X rays. Appl. Phys. Lett., 75, 2912(1999).

[9] D. Paganin, A. Barty, P. J. McMahon, K. A. Nugent. Quantitative phase-amplitude microscopy. III. The effects of noise. J. Microsc., 214, 51(2004).

[10] C. Zuo, Q. Chen, A. Asundi. Transport of intensity equation: a new approach to phase and light field. Proc. SPIE, 9271, 92710H(2014).

[11] M. Krenkel, M. Bartels, T. Salditt. Transport of intensity phase reconstruction to solve the twin image problem in holographic X-ray imaging. Opt. Express, 21, 2220(2013).

[12] L. Tian, J. C. Petruccelli, Q. Miao, H. Kudrolli, V. Nagarkar, G. Barbastathis. Compressive X-ray phase tomography based on the transport of intensity equation. Opt. Lett., 38, 3418(2013).

[13] K. A. Nugent. X-ray image reconstruction using the transport of intensity equation. IPAP Conf. Series, 7, 399(2006).

[14] M. Broxton, L. Grosenick, S. Yang, N. Cohen, A. Andalman, K. Deisseroth, M. Levoy. Wave optics theory and 3-D deconvolution for the light field microscope. Opt. Express, 21, 25418(2013).

[15] M. Mitome. Transport of intensity equation method and its applications. Microscopy, 70, 69(2021).

[16] T. E. Gureyev, A. Roberts, K. A. Nugent. Partially coherent fields, the transport-of-intensity equation, and phase uniqueness. J. Opt. Soc. Am. A, 12, 1942(1995).

[17] M. Das, Z. Liang. Approximated transport-of-intensity equation for coded-aperture X-ray phase-contrast imaging. Opt. Lett., 39, 5395(2014).

[18] A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, I. Schelokov. On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation. Rev. Sci. Instrum., 66, 5486(1995).

[19] K. A. Nugent, T. E. Gureyev, D. F. Cookson, D. Paganin, Z. Barnea. Quantitative phase imaging using hard X-rays. Phys. Rev. Lett., 77, 2961(1996).

[20] P. Cloetens, W. Ludwig, J. Baruchel, D. Van Dyck, J. Van Landuyt, J. P. Guigay, M. Schlenker. Holotomography: quantitative phase tomography with micrometer resolution using hard synchrotron radiation X-rays. Appl. Phys. Lett., 75, 2912(1999).

[21] J. Choi, Y.-S. Park. X-ray phase imaging microscopy with two-dimensional knife-edge filters. Appl. Phys. Express, 5, 042503(2012).

[22] M. R. Teague. Deterministic phase retrieval: a Green’s function solution. J. Opt. Soc. Am., 72, 1199(1982).

[23] M. R. Teague. Deterministic phase retrieval: a Green’s function solution. J. Opt. Soc. Am., 73, 1434(1983).

[24] J. P. Guigay, M. Langer, R. Boistel, P. Cloetens. Mixed transfer function and transport of intensity approach for phase retrieval in the Fresnel region. Opt. Lett., 32, 1617(2007).

[25] D. Paganin, K. A. Nugent. Noninterferometric phase imaging with partially coherent light. Phys. Rev. Lett., 80, 2586(1998).

[26] S.-A. Zhou, A. Brahme. Development of phase-contrast X-ray imaging techniques and potential medical applications. Phys. Med., 24, 129(2008).

[27] X. Wu, H. Liu. Clarification of aspects in in-line phase-sensitive X-ray imaging. Med. Phys., 34, 737(2007).

[28] J. Choi, Y.-S. Park. Enhanced quantitative X-ray phase-contrast images using Foucault differential filters. Chin. Opt. Lett., 15, 081103(2017).

[29] G. S. Settles. Schlieren and Shadowgraph Techniques: Visualizing Phenomena in Transparent Media(2001).

[30] F. Xu, L. Helfen, A. J. Moffat, G. Johnson, I. Sinclair, T. Baumbach. Synchrotron radiation computed laminography for polymer composite failure studies. J. Synchrotron Radiat., 17, 222(2010).

[31] F. Pfeiffer, C. Grünzweig, O. Bunk, G. Frei, E. Lehmann, C. David. Neutron phase imaging and tomography. Phys. Rev. Lett., 96, 215505(2006).

Data from CrossRef