Edge-illumination edit

Edge-illumination (EI) was developed at the Italian synchrotron (Elettra) in the late ‘90s[1],as an alternative to ABI. It is based on the observation that, by illuminating only the edge of detector pixels, high sensitivity to phase effects is obtained (see figure).

Drawing of Edge-illumination – sample positions resulting in increased (above) and decreased (below) detected counts are shown.

Also in this case,the relation between x-ray refraction angle and first derivative of the phase shift caused by the object is exploited:



If the x-ray beam is vertically thin and impinges on the edge of the detector, x-ray refraction can change the status of the individual x-ray from “detected” to “undetected” and vice-versa, effectively playing the same role as the crystal rocking curve in ABI. This analogy with ABI, already observed when the method was initially developed[1], was more recently formally demonstrated[2]. Effectively, the same effect is obtained – a fine angular selection on the photon direction; however, while in ABI the beam needs to be highly collimated and monochromatic, the absence of the crystal means that EI can be implemented with divergent and polychromatic beams, like those generated by a conventional rotating-anode x-ray tube. This is done by introducing two opportunely designed masks (sometimes referred to as “coded-aperture” masks[3]),one immediately before the sample, and one in contact with the detector (see figure).

Drawing of laboratory-based edge-illumination, obtained through (“coded”) aperture x-ray masks.

The purpose of the latter mask is simply to create insensitive regions between adjacent pixels,and its use can be avoided if specialized detector technology is employed.In this way,the EI configuration is simultaneously realized for all pixel rows of an area detector. This plurality of individual beamlets means that no scanning is required – the sample is placed downstream of the sample mask and imaged in a single shot (two if phase retrieval is performed[4]).It should be noted that, although superficially, the set-up might resemble that of a grating interferometer, the underpinning physical mechanism is different: while GI is an intrinsically coherent method, in which an incoherent source can be used only provided it is made sufficiently coherent through collimation via the source grating, EI is an incoherent technique, and was in fact proven to work with both spatially and temporally incoherent sources, without any additional source aperturing or collimation[4][5]. Quantitative phase retrieval was also demonstrated with (uncollimated) incoherent sources,showing that in some cases results analogous to the synchrotron gold standard can be obtained[4]. The highly simplified set-up, which however does not lead to reduced phase sensitivity[6], leads to a series of positive features,which include reduced exposure time for the same source power,reduced radiation dose,robustness against environmental vibrations,and easier access to high x-ray energy[6][7][8]. Moreover, since their aspect ratio is not particularly demanding,masks are cheap, easy to fabricate (e.g.do not require x-ray lithography) and can already be scaled to large areas. The method is easily extended to phase sensitivity in two directions, for example, through the realization of L-shaped apertures for the simultaneous illumination of two orthogonal edges in each detector pixel[9].More generally, while in its simplest implementation beamlets match individual pixel rows (or pixels), the method is highly flexible, and, for example, sparse detectors and asymmetric masks can be used[10].So far, the method has been successfully demonstrated in areas such as security scanning[11], biological imaging[6],material science[12], paleontology[12][13] and others; adaptation to 3D (computed tomography) was also demonstrated[12][14]. Alongside simple translation for use with conventional x-ray sources,it should be noted that there are substantial benefits in the implementation of EI with coherent synchrotron radiation,among which high performance at very high x-ray energies[13] and angular resolutions higher than in other approaches[15].



References edit

  1. ^ a b Olivo, A.; Arfelli, F; Cantatore, G.; Longo, R.; Menk, R. H.; Pani, S.;Prest, M.; Poropat, P. et al. (2001). “An innovative digital imaging set-upallowing a low-dose approach to phase contrast applications in the medicalfield”. Medical Physics 28 (8): 1610-1619. doi: 10.1118/1.1388219
  2. ^ Munro, P. R. T.; Hagen, C. K.; Szafraniec, M. B.; Olivo, A. (2013). “Asimplified approach to quantitative coded aperture X-ray phase imaging”. Optics Express 21 (9): 11187-11201. doi: 10.1364/OE.21.011187
  3. ^ Olivo, A.; Speller, R. (2007). “Acoded-aperture technique allowing x-ray phase contrast imaging withconventional sources”. Applied Physics Letters 91 (7): 074106. doi: 10.1063/1.2772193
  4. ^ a b c Munro, P. R. T.; Ignatyev, K.; Speller, R.D.; Olivo, A. (2012). “Phase and absorption retrieval using incoherent x-raysources.” Proceedings of the National Academy of Sciences of USA 109(35): 13922-13927. doi: 10.1073/pnas.1205396109 
  5. ^ Olivo, A.; Speller, R. (2007). “Modelling of a novel x-ray phasecontrast imaging technique based on coded apertures”. Physics in Medicine and Biology 52 (22): 6555-6573. doi: 10.1088/0031-9155/52/22/001
  6. ^ a b c Marenzana, M.; Hagen, C. K.; Das NevesBorges, P.; Endrizzi, M.; Szafraniec, M. B.; Ignatyev, K.; Olivo, A. (2012).“Visualization of small lesions in rat cartilage by means of laboratory-basedx-ray phase contrast imaging.” Physics in Medicine and Biology 57 (24): 8173-8184.doi: 10.1088/0031-9155/57/24/8173
  7. ^ Olivo, A.; Ignatyev, K.; Munro, P. R. T.; Speller, R. D. (2011). “Non interferometricphase-contrast images obtained with incoherent x-ray sources.” Applied Optics 50 (12): 1765-1769. doi: 10.1364/AO.50.001765. (see also: Research Highlights, Nature 472 (2011) p. 382)
  8. ^ Ignatyev, K.; Munro, P. R. T.; Chana, D.; Speller,R. D.; Olivo, A. (2011). “Coded apertures allow high-energy x-ray phase contrast imaging with laboratory sources”. Journal of Applied Physics 110 (1):014906. doi: 10.1063/1.3605514
  9. ^ Olivo, A.; Bohndiek, S. E.; Griffiths, J. A.; Konstantinidis, K.;Speller, R. D. (2009) “A non-free-space propagation x-ray phase contrast imaging method sensitive to phase effects in two directions simultaneously.” Applied Physics Letters 94 (4): 044108. doi: 10.1063/1.3078410
  10. ^ Olivo, A.; Pani, S.; Dreossi, D., Montanari, F.; Bergamaschi, A.,Vallazza, E. Arfelli, F; Longo, et al. (2003). “A Multilayer edge-on singlephoton counting silicon microstrip detector for innovative imaging techniquesin diagnostic radiology”. Review ofScientific Instruments 74 (7): 3460-3465.doi: 10.1063/1.1582390
  11. ^ Ignatyev, K.; Munro, P. R. T.; Chana, D.; Speller, R. D.; Olivo, A.(2011). “A new generation of x-ray baggage scanners based on a differentphysical principle.” Materials 4 (10) 1846-1860. doi: 10.3390/ma4101846
  12. ^ a b c Diemoz P. C.; Endrizzi, M.; Zapata, C. E.; Bravin, A.; Speller, R. D.;Robinson, I.K.; Olivo, A. (2013). “Improved sensitivity at synchrotrons using edge illumination x-ray phase contrast imaging.” Journal of Instrumentation 8(6): C06002 doi: 10.1088/1748-0221/8/06/C06002
  13. ^ a b Olivo, A.; Diemoz, P. C.; Bravin, A. (2012). “Amplification of the phase contrast signal at very high x-ray energies”. Optics Letters 37 (5):915-917. doi: 10.1364/OL.37.000915
  14. ^ Endrizzi, M.; Diemoz, P. C.; Munro, P. R. T.; Hagen, C. K.; Szafraniec,M. B.; Millard, P. T.; Zapata, C. E.; Speller, R. D. et al. (2013) “Applications of a non-interferometric x-ray phase contrast imaging method withboth synchrotron and conventional sources.” Journal of Instrumentation 8 (5): C05008doi: 10.1088/1748-0221/8/05/C05008
  15. ^ Diemoz, P.C.; Endrizzi, M.; Zapata, C. E.; Pešić,Z. D.; Rau, C.; Bravin, A.; Robinson, I.K.; Olivo, A. (2013). X-ray phase-contrast imaging with nanoradian angular resolution. Physical Review Letters 110 (13):138105. doi: 10.1103/PhysRevLett.110.138105