X-Ray Dynamical Diffraction Analogue of Talbot Effect in Case of Incident Finite Front Wave


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.

This is a preview of subscription content, access via your institution.


  1. 1.

    Talbot, H.F., Phil. Mag., 1836, vol. 9, p. 401.

    Google Scholar 

  2. 2.

    Lord Rayleigh, Phil. Mag., 1881, vol. 11, p. 196.

    Article  Google Scholar 

  3. 3.

    Edgar, R.F., Optica Acta, 1969, vol. 16, p. 281.

    ADS  Article  Google Scholar 

  4. 4.

    Guigay, G.P., Optica Acta, 1971, vol. 18, p. 677.

    ADS  Article  Google Scholar 

  5. 5.

    Berry, M.V. and Klein, S., Journal of Modern Optics, 1996, vol. 43, p. 2139.

    ADS  MathSciNet  Article  Google Scholar 

  6. 6.

    Berry, M.V. and Bodenschatz, E., Journal of Modern Optics, 1999, vol. 46, p. 349.

    ADS  Article  Google Scholar 

  7. 7.

    Case, W., Tomandl, M., Deachapunya, S., and Arndt, M., Optics Express, 2009, vol. 17, p. 20966.

    ADS  Article  Google Scholar 

  8. 8.

    Kim, M., Scharf, T., Menzel, C., Rockstuhl, C., and Herzig, H., Optics Express, 2013, vol. 21, p. 1287.

    ADS  Article  Google Scholar 

  9. 9.

    Cloetens, P., Guigay, J.P., De Martino, S., et al., Optics Letters, 1997, vol. 22, p. 1059.

    ADS  Article  Google Scholar 

  10. 10.

    Momose, A., Shinya, K., Ichiro, K., Yoshitaka, H., Kengo, T., and Yoshio, S., Jpn. J. Appl. Phys., 2003, vol. 42, p. L866.

    ADS  Article  Google Scholar 

  11. 11.

    Momose, A., Wataru, Y., Hirohide, M., and Yoshihiro, T., Optics Express, 2009, vol. 17, p. 12540.

    ADS  Article  Google Scholar 

  12. 12.

    Kohn, V.G., Journal of Surface Investigation, 2016, vol. 10, p. 698.

    Article  Google Scholar 

  13. 13.

    Kohn, V.G., J. Synchrotron Rad., 2018, vol. 25, p. 425.

    Article  Google Scholar 

  14. 14.

    Balyan, M.K., Journal of Optics, 2019, vol. 21. https://doi.org/10.1088/2040-8986/ab1409.

  15. 15.

    Authier, A., Dynamical theory of X-ray diffraction, Oxford, Oxford University Press, 2001.

    Google Scholar 

  16. 16.

    Pinsker, Z.G., Rentgenovskaya kristallooptika (X-ray Crystal Optics), Moscow: Nauka, 1982.

    Google Scholar 

  17. 17.

    Slobodetskii, I.Sh. and Chukhovskii, F.N., Kristallografiya, 1970, vol. 15, p. 1101.

    Google Scholar 

  18. 18.

    Abramowitz, M. and Stegun, I.A., Handbook of mathematical functions, Washington, National bureau of standards, 1964.

    Google Scholar 

  19. 19.

    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.

    Google Scholar 

Download references

Author information



Corresponding author

Correspondence to M. K. Balyan.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Fizika, 2020, Vol. 55, No. 1, pp. 95–103.

About this article

Verify currency and authenticity via CrossMark

Cite this article

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

Download citation


  • X-rays
  • dynamical diffraction
  • Talbot effect
  • crystal