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  • Letter
  • Open Access

Phase and contrast moiré signatures in two-dimensional cone beam interferometry

D. Sarenac1,2,*, G. Gorbet3, Charles W. Clark4, D. G. Cory2,5, H. Ekinci2, M. E. Henderson2,3, M. G. Huber6, D. S. Hussey6, C. Kapahi2,3 et al.

P. A. Kienzle6, Y. Kim6,7, A. M. Long8, J. D. Parker9, T. Shinohara10, F. Song10, and D. A. Pushin2,3,†

  • *Contact author: dusansar@buffalo.edu
  • †Contact author: dmitry.pushin@uwaterloo.ca
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Phys. Rev. Research 6, L032054 – Published 5 September, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L032054

Abstract

Neutron interferometry has played a distinctive role in fundamental science and characterization of materials. Moiré neutron interferometers are candidate next-generation instruments: they offer microscopy-like magnification of the signal, enabling direct camera recording of interference patterns across the full neutron wavelength spectrum. Here we demonstrate the extension of phase-grating moiré interferometry to two-dimensional geometries. Our fork-dislocation phase gratings reveal phase singularities in the moiré pattern, and we explore orthogonal moiré patterns with two-dimensional phase gratings. Our measurements of phase topologies and gravitationally induced phase shifts are in good agreement with theory. These techniques can be implemented in existing neutron instruments to advance interferometric analyses of emerging materials and precision measurements of fundamental constants.

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References (45)

  1. R. Colella, A. W. Overhauser, and S. A. Werner, Observation of gravitationally induced quantum interference, Phys. Rev. Lett. 34, 1472 (1975).
  2. H. Rauch, A. Zeilinger, G. Badurek, A. Wilfing, W. Bauspiess, and U. Bonse, Verification of coherent spinor rotation of fermions, Phys. Lett. A 54, 425 (1975).
  3. Y. Hasegawa, R. Loidl, G. Badurek, K. Durstberger-Rennhofer, S. Sponar, and H. Rauch, Engineering of triply entangled states in a single-neutron system, Phys. Rev. A 81, 032121 (2010).
  4. C. J. Wood, M. O. Abutaleb, M. G. Huber, M. Arif, D. G. Cory, and D. A. Pushin, Quantum correlations in a noisy neutron interferometer, Phys. Rev. A 90, 032315 (2014).
  5. C. W. Clark, R. Barankov, M. G. Huber, M. Arif, D. G. Cory, and D. A. Pushin, Controlling neutron orbital angular momentum, Nature (London) 525, 504 (2015).
  6. D. Sarenac, M. G. Huber, B. Heacock, M. Arif, C. W. Clark, D. G. Cory, C. B. Shahi, and D. A. Pushin, Holography with a neutron interferometer, Opt. Express 24, 22528 (2016).
  7. H. Lemmel, P. Brax, A. N. Ivanov, T. Jenke, G. Pignol, M. Pitschmann, T. Potocar, M. Wellenzohn, M. Zawisky, and H. Abele, Neutron interferometry constrains dark energy chameleon fields, Phys. Lett. B 743, 310 (2015).
  8. K. Li, M. Arif, D. G. Cory, R. Haun, B. Heacock, M. G. Huber, J. Nsofini, D. A. Pushin, P. Saggu, D. Sarenac, C. B. Shahi, V. Skavysh, W. M. Snow, and A. R. Young (The INDEX Collaboration), Neutron limit on the strongly-coupled chameleon field, Phys. Rev. D 93, 062001 (2016).
  9. A. Klein and S. Werner, Neutron optics, Rep. Prog. Phys. 46, 259 (1983).
  10. H. Abele, The neutron. Its properties and basic interactions, Prog. Part. Nucl. Phys. 60, 1 (2008).
  11. B. T. M. Willis and C. J. Carlile, Experimental Neutron Scattering (Oxford University Press, Oxford, 2017).
  12. R. M. Thaler, Polarizability of the neutron, Phys. Rev. 114, 827 (1959).
  13. W. T. Fuhrman, J. Leiner, P. Nikolić, L. DeBeer-Schmitt, G. E. Granroth, M. B. Stone, M. D. Lumsden, P. A. Alekseev, J. M. Mignot, S. M. Koohpayeh, P. Cottingham et al., Interaction driven subgap spin exciton in the Kondo insulator SmB6, Phys. Rev. Lett. 114, 036401 (2015).
  14. F. Qian, L. J. Bannenberg, H. Wilhelm, G. Chaboussant, L. M. Debeer-Schmitt, M. P. Schmidt, A. Aqeel, T. T. M. Palstra, E. Brück, A. J. E. Lefering et al., New magnetic phase of the chiral skyrmion material Cu2OSeO3, Sci. Adv. 4, eaat7323 (2018).
  15. C. D. Dewhurst, M. Mochizuki, K. Yanai et al., Néel-type skyrmion lattice with confined orientation in the polar magnetic semiconductor GaV4S8, Nat. Mater. 14, 1116 (2015).
  16. M. E. Henderson, B. Heacock, M. Bleuel, D. G. Cory, C. Heikes, M. G. Huber, J. Krzywon, O. Nahman-Levesqué, G. M. Luke, M. Pula et al., Three-dimensional neutron far-field tomography of a bulk skyrmion lattice, Nat. Phys. 19, 1617 (2023).
  17. J. F. Clauser and S. Li, Talbot-von Lau atom interferometry with cold slow potassium, Phys. Rev. A 49, R2213(R) (1994).
  18. F. Pfeiffer, C. Grünzweig, O. Bunk, G. Frei, E. Lehmann, and C. David, Neutron phase imaging and tomography, Phys. Rev. Lett. 96, 215505 (2006).
  19. A. D. Cronin and B. McMorran, Electron interferometry with nanogratings, Phys. Rev. A 74, 061602(R) (2006).
  20. C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, Differential x-ray phase contrast imaging using a shearing interferometer, Appl. Phys. Lett. 81, 3287 (2002).
  21. A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Optics and interferometry with atoms and molecules, Rev. Mod. Phys. 81, 1051 (2009).
  22. M. S. Chapman, C. R. Ekstrom, T. D. Hammond, J. Schmiedmayer, B. E. Tannian, S. Wehinger, and D. E. Pritchard, Near-field imaging of atom diffraction gratings: The atomic Talbot effect, Phys. Rev. A 51, R14(R) (1995).
  23. M. Busi, J. Shen, M. Bacak, M. C. Zdora, J. Čapek, J. Valsecchi, and M. Strobl, Multi-directional neutron dark-field imaging with single absorption grating, Sci. Rep. 13, 15274 (2023).
  24. H. Rauch and S. A. Werner, Neutron Interferometry: Lessons in Experimental Quantum Mechanics (Oxford University Press, New York, 2015).
  25. P. Saggu, T. Mineeva, M. Arif, D. G. Cory, R. Haun, B. Heacock, M. G. Huber, K. Li, J. Nsofini, D. Sarenac et al., Decoupling of a neutron interferometer from temperature gradients, Rev. Sci. Instrum. 87, 123507 (2016).
  26. H. F. Talbot, LXXVI. Facts relating to optical science. No. IV, Philos. Mag. 9, 401 (1836).
  27. H. Miao, A. Panna, A. A. Gomella, E. E. Bennett, S. Znati, L. Chen, and H. Wen, A universal moiré effect and application in x-ray phase-contrast imaging, Nat. Phys. 12, 830 (2016).
  28. D. A. Pushin, D. Sarenac, D. S. Hussey, H. Miao, M. Arif, D. G. Cory, M. G. Huber, D. L. Jacobson, J. M. LaManna, J. D. Parker, T. Shinohara, W. Ueno, and H. Wen, Far-field interference of a neutron white beam and the applications to noninvasive phase-contrast imaging, Phys. Rev. A 95, 043637 (2017).
  29. D. S. Hussey, H. Miao, G. Yuan, D. Pushin, D. Sarenac, M. G. Huber, D. L. Jacobson, J. M. LaManna, and H. Wen, Demonstration of a white beam far-field neutron interferometer for spatially resolved small angle neutron scattering, arXiv:1606.03054.
  30. D. Sarenac, D. A. Pushin, M. G. Huber, D. S. Hussey, H. Miao, M. Arif, D. G. Cory, A. D. Cronin, B. Heacock, D. L. Jacobson, J. M. LaManna, and H. Wen, Three phase-grating moiré neutron interferometer for large interferometer area applications, Phys. Rev. Lett. 120, 113201 (2018).
  31. A. J. Brooks, D. S. Hussey, H. Yao, A. Haghshenas, J. Yuan, J. M. LaManna, D. L. Jacobson, C. G. Lowery, N. Kardjilov, S. Guo et al., Neutron interferometry detection of early crack formation caused by bending fatigue in additively manufactured SS316 dogbones, Mater. Design 140, 420 (2018).
  32. A. J. Brooks, G. L. Knapp, J. Yuan, C. G. Lowery, M. Pan, B. E. Cadigan, S. Guo, D. S. Hussey, and L. G. Butler, Neutron imaging of laser melted SS316 test objects with spatially resolved small angle neutron scattering, J. Imag. 3, 58 (2017).
  33. J. F. Nye and M. V. Berry, Dislocations in wave trains, Proc. R. Soc. London, Ser. A 336, 165 (1974).
  34. D. Sarenac, M. E. Henderson, H. Ekinci, C. W. Clark, D. G. Cory, L. DeBeer-Schmitt, M. G. Huber, C. Kapahi, and D. A. Pushin, Experimental realization of neutron helical waves, Sci. Adv. 8, eadd2002 (2022).
  35. D. Sarenac, G. Gorbet, C. Kapahi, Charles W. Clark, D. G. Cory, H. Ekinci, D. V. Garrad et al., Cone beam neutron interferometry: From modeling to applications, Phys. Rev. Res. 6, 023260 (2024).
  36. E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor, CODATA recommended values of the fundamental physical constants: 2018, J. Phys. Chem. Ref. Data 50, 033105 (2021).
  37. C. Rothleitner and S. Schlamminger, Invited review article: Measurements of the Newtonian constant of gravitation, G, Rev. Sci. Instrum. 88, 111101 (2017).
  38. K. Kuroda, Anelasticity in G experiments, Meas. Sci. Technol. 10, 435 (1999).
  39. W. Michaelis, J. Melcher, and H. Haars, Supplementary investigations to PTB's evaluation of G, Metrologia 41, L29 (2004).
  40. P. Milde, D. Köhler, J. Seidel, L. M. Eng, A. Bauer, A. Chacon, J. Kindervater, S. Mühlbauer, C. Pfleiderer, S. Buhrandt et al., Unwinding of a skyrmion lattice by magnetic monopoles, Science 340, 1076 (2013).
  41. X. Yu, J. Masell, F. S. Yasin, K. Karube, N. Kanazawa, K. Nakajima, T. Nagai, K. Kimoto, W. Koshibae, Y. Taguchi, N. Nagaosa, and Y. Tokura, Real-space observation of topological defects in extended skyrmion-strings, Nano Lett. 20, 7313 (2020).
  42. M. Strobl, General solution for quantitative dark-field contrast imaging with grating interferometers, Sci. Rep. 4, 7243 (2014).
  43. R. O. Nelson, S. C. Vogel, J. F. Hunter, E. B. Watkins, A. S. Losko, A. S. Tremsin, N. P. Borges, T. E. Cutler, L. T. Dickman, M. A. Espy et al., Neutron imaging at LANSCE—From cold to ultrafast, J. Imag. 4, 45 (2018).
  44. T. Shinohara, T. Kai, K. Oikawa, T. Nakatani, M. Segawa, K. Hiroi, Y. Su, M. Ooi, M. Harada, H. Iikura et al., The energy-resolved neutron imaging system, RADEN, Rev. Sci. Instrum. 91, 043302 (2020).
  45. Certain trade names and company products are mentioned in the text or identified in an illustration in order to adequately specify the experimental procedure and equipment used. In no case does such identification imply recommendation or endorsement by the National Institute of Standards and Technology, nor does it imply that the products are necessarily the best available for the purpose.

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Phys. Rev. Research 6, L032054– Published 5 September, 2024
  • Received 1 February 2024
  • Revised 4 June 2024
  • Accepted 7 August 2024
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