Abstract
Coherent reflection imaging at slant and grazing angles attracted attention during past years (Fenter et al., J Synchrotron Rad 15:558–571 2008; Marathe et al., Opt Express 18:7253–7262 2010; Roy et al., Nat Photonics 5:243–245 2011; Sun et al., J Nat Photon 6:586–590 2012; Gardner et al., Opt Express 20:19050–19059 2012; Zürch, Opt Express 21(18):21131–21147, 2013; Zhang et al., Extended reflection coherent diffraction imaging of nanostructures on a tabletop, Bulletin of the American Physical Society, APS March Meeting: Vol. 59, number 1, Monday–Friday, March 3–7, 2014, Denver). It is a new imaging technology allowing X-ray study of near surface layers of thick and opaque samples or nanostructures and thin samples fixed on a reflecting substrate. This work develops diffraction theory and calculations relevant to coherent reflection imaging of tilted objects illuminated below critical angles of X-ray reflection.
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References
Fenter, F., Park, C., Kohli, V., Zhang, Z.: Image contrast in x-ray reflection interface microscopy: comparison of data with model calculations and simulations. J. Synchrotron Rad. 15, 558–571 (2008)
Marathe, S., Kim, S.S., Kim, S.N., Kim, C., Kang, H.C., Nickles, P.V., Noh, D.Y.: Coherent diffraction surface imaging in reflection geometry. Opt. Express. 18, 7253–7262 (2010)
Roy, S., Parks, D., Seu, K.A., Su, R., Turner, J.J., Chao, W., Anderson, E.H., Cabrini, S., Kevan, S.D.: Lensless x-ray imaging in reflection geometry. Nat. Photonics. 5, 243–245 (2011)
Sun, T., Jiang, Z., Strzalka, J., Wang, O.L.: Three-dimensional coherent x-ray surface scattering imaging near total external reflection. J. Nat. Photon. 6, 586–590 (2012)
Gardner, D.F., Zhang, B., Seaberg, M.D., Martin, L.S., Adams, D.E., Salmassi, F., Gullikson, E., Kapteyn, H., Murnane, M.: High numerical aperture reflection mode coherent diffraction microscopy using off-axis apertured illumination. Opt. Express. 20, 19050–19059 (2012)
Zürch, M.: Christian Kern and Christian Spielmann. Opt. Express. 21(18), 21131–21147, 2013
Zhang B., Seaberg, M., Gardner, D., Shanblatt, E., Murnane, M., Kapteyn, H., Adams, D.: Extended reflection coherent diffraction imaging of nanostructures on a tabletop, Bulletin of the American Physical Society, APS March Meeting: Vol. 59, number 1, Monday–Friday, March 3–7, 2014; Denver. http://meetings.aps.org/link/BAPS.2014.MAR.Y50.14 (2014)
John, C.H.: scalar rayleigh-sommerfeld and kirchhoff diffraction integrals: a comparison of exact evaluations for axial points. JOSA. 63(8), 1003–1008 (1973)
Vinogradov, A.V., Popov, A.V., Kopylov, Yu.V., Kurokhtin, A.N.: Numerical Simulation of X-Ray Diffractive Optics. A & B Publishing House, Moscow (1999)
Luckt, R.L.: Rayleigh–Sommerfeld diffraction and Poisson’s spot. Euro. J. Phys. 27, 193–204 (2006)
Chang, H.-T.: Foundations of scalar diffraction theory, wave optics analysis of coherent optical systems, http://teacher.yuntech.edu.tw/htchang/Chap. 3.pdf
Artyukov, I.A., Popov, A.V., Vinogradov, A.V.: Wave field transformation at coherent imaging of a flat reflection mask, Proc. SPIE. 7451, 745114-1-745114-3 (2009)
Artyukov, I.A., Mitrofanov, A.N., Popov A.V., Vinogradov A.V., Theory and Computation Towards Coherent Reflection Imaging of Tilted Objects, Proc. 12th Int. Conf. on X-ray Lasers, pp. 329–340. Springer, Berlin (2010)
Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids, 2nd edn. Clarendon, Oxford (1959)
Kelly, D.P.: Numerical calculation of the Fresnel transform. JOSA A. 31, 755–764 (2014)
Delen, N., Hooker, B.: Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach. J. Opt. Soc. Am. A. 15(4), 857–867(1998)
Modregger, P., Lubbert, D., Schafer P.,Kohler R., Weitkamp, T., Hanke, M., Baumbach, T.: Fresnel diffraction in the case of an inclined image plane. Opt. Express. 16(7), 5141–5149 (2008)
Paganin, D.M.: Coherent X-ray Optic. Clarendon Press, Oxford (2005)
Artyukov, I.A., Feshchenko, R.M., Popov, N.L., Vinogradov, A.V.: Coherent scattering from tilted objects. J. Opt. 16, 035703 (2014)
Acknowledgement
The work was supported in part by RFBR Grant, no. 130201009 A. The authors are indebted to I N Bukreeva, A S Busarov, I V Epatko and R M Feshchenko for fruitful discussions.
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Artyukov, I., Popov, N., Vinogradov, A. (2016). On the Optical Transforms in the Fourier Space for Simulation of Coherent Imaging of Tilted Objects. In: Rocca, J., Menoni, C., Marconi, M. (eds) X-Ray Lasers 2014. Springer Proceedings in Physics, vol 169. Springer, Cham. https://doi.org/10.1007/978-3-319-19521-6_37
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DOI: https://doi.org/10.1007/978-3-319-19521-6_37
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