Abstract
X-ray dynamical diffraction Talbot effect in perfect crystals is studied. The effect is analyzed for the case of incident final front wave. Some peculiarities of effect are revealed, expressions for the Talbot effect and exact Talbot effect are found. The results are compared with the ones obtained earlier in a diffracted beam in case of incident infinite front wave.
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References
Talbot, H.F., Phil. Mag., 1836, vol. 9, p. 401.
Lord Rayleigh, Phil. Mag., 1881, vol. 11, p. 196.
Edgar, R.F., Optica Acta, 1969, vol. 16, p. 281.
Guigay, G.P., Optica Acta, 1971, vol. 18, p. 677.
Berry, M.V. and Klein, S., Journal of Modern Optics, 1996, vol. 43, p. 2139.
Berry, M.V. and Bodenschatz, E., Journal of Modern Optics, 1999, vol. 46, p. 349.
Case, W., Tomandl, M., Deachapunya, S., and Arndt, M., Optics Express, 2009, vol. 17, p. 20966.
Kim, M., Scharf, T., Menzel, C., Rockstuhl, C., and Herzig, H., Optics Express, 2013, vol. 21, p. 1287.
Cloetens, P., Guigay, J.P., De Martino, S., et al., Optics Letters, 1997, vol. 22, p. 1059.
Momose, A., Shinya, K., Ichiro, K., Yoshitaka, H., Kengo, T., and Yoshio, S., Jpn. J. Appl. Phys., 2003, vol. 42, p. L866.
Momose, A., Wataru, Y., Hirohide, M., and Yoshihiro, T., Optics Express, 2009, vol. 17, p. 12540.
Kohn, V.G., Journal of Surface Investigation, 2016, vol. 10, p. 698.
Kohn, V.G., J. Synchrotron Rad., 2018, vol. 25, p. 425.
Balyan, M.K., Journal of Optics, 2019, vol. 21. https://doi.org/10.1088/2040-8986/ab1409.
Authier, A., Dynamical theory of X-ray diffraction, Oxford, Oxford University Press, 2001.
Pinsker, Z.G., Rentgenovskaya kristallooptika (X-ray Crystal Optics), Moscow: Nauka, 1982.
Slobodetskii, I.Sh. and Chukhovskii, F.N., Kristallografiya, 1970, vol. 15, p. 1101.
Abramowitz, M. and Stegun, I.A., Handbook of mathematical functions, Washington, National bureau of standards, 1964.
Sidorov, Yu., Fedoruk, M., and Shabunin, M., Lektsii po teorii funktsij kompleksnogo peremennogo (Lectures on the theory of functions of complex variables), Moscow: Nauka Publishers, 1989.
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Russian Text © The Author(s), 2020, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Fizika, 2020, Vol. 55, No. 1, pp. 95–103.
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Balyan, M.K. X-Ray Dynamical Diffraction Analogue of Talbot Effect in Case of Incident Finite Front Wave. J. Contemp. Phys. 55, 70–76 (2020). https://doi.org/10.3103/S1068337220010107
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DOI: https://doi.org/10.3103/S1068337220010107