Skip to main content
Log in

Eikonal approximation of dynamical diffraction equations for X-ray beams with a two-dimensional curvature of the wave front. II. Focusing of an X-ray beam by a crystal with non-plane entrance and exit surfaces. Symmetrical Laue case

  • Published:
Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

On the basis of eikonal approximation developed in the first part of this work, diffraction of X-ray beam with a two-dimensional curvature of wave front and its focusing by a crystal with nonplane entrance and exit surfaces is studied in symmetrical Laue case. The expressions for eikonal and focusing distances inside and outside the crystal in the vacuum, are obtained. The size of the focal spot and the intensity gain in the spot, are estimated. The condition of point focusing is obtained. The conditions for obtaining practically achievable focusing distances are investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Afanasyev, A.M. and Kon, V.G., FTT, 1977, vol. 19, p. 1775.

    Google Scholar 

  2. Levonyan, L.V., Pis’ma v ZhETF, 1981, vol. 7, p. 269.

    Google Scholar 

  3. Hrdy J., J. Synchrotron Rad., 1998, vol. 5, p. 1206.

    Article  Google Scholar 

  4. Hrdy, J., Hoszowska, J., et al., J. Synchrotron Rad., 2003, vol. 10, p. 233.

    Article  Google Scholar 

  5. Balyan, M.K., J. Contemp. Phys. (Armenian Ac. Sci.), 2013, vol. 48, p. 144.

    Article  ADS  Google Scholar 

  6. Pinsker, Z.G., Rentgenovskaya kristllooptika (X-Ray Crystal Optics), Moscow: Nauka, 1982.

    Google Scholar 

  7. Grigoryan, A.G., Balyan, M.K., Gasparyan, L.G., and Aghasyan, M.M., J. Contemp. Phys. (Armenian Ac. Sci.), 2004, vol. 39, p. 46.

    Google Scholar 

  8. Kohn, V.G., Chumakov, A.I., and Ruffer, R., J. Synchrotron Rad., 2009, vol. 16, p. 635.

    Article  Google Scholar 

  9. Grigoryan, A.H., Balyan, M.K., and A.H. Toneyan, J. Synchrotron Rad., 2010, vol. 17, p. 332.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. K. Balyan.

Additional information

Original Russian Text © M.K. Balyan, 2013, published in Izvestiya NAN Armenii, Fizika, 2013, Vol. 48, No. 5, pp. 363–370.

About this article

Cite this article

Balyan, M.K. Eikonal approximation of dynamical diffraction equations for X-ray beams with a two-dimensional curvature of the wave front. II. Focusing of an X-ray beam by a crystal with non-plane entrance and exit surfaces. Symmetrical Laue case. J. Contemp. Phys. 48, 247–252 (2013). https://doi.org/10.3103/S1068337213050101

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068337213050101

Keywords

Navigation