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Diffraction of X-ray spatially inhomogeneous beam in a crystal with cubic nonlinearity

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

Abstract

Diffraction of a spatially inhomogeneous X-ray wave was theoretically studied in a crystal with cubic nonlinear response to the strength of an external electric field. Using numerical calculations in case of two-beam diffraction of a narrow incident beam, the intensity distributions on the output surface of the crystal was investigated depending on the thickness and intensity of the incident beam. The results of numerical calculations of integral (spatial) coefficients of transmission and reflection are given as functions of incident wave intensity for fixed thickness of the crystal.

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References

  1. Nazarkin, A., Podorov, S., Uschmann, I., Förster, E., and Sauerbrey, R., Phys. Rev. A, 2003, vol., 67, p. 041804.

    Article  ADS  Google Scholar 

  2. Tamasaku, K. and Ishikawa, K., Phys. Rev. Lett., 2007, vol. 98, p. 244801.

    Article  ADS  Google Scholar 

  3. Tamasaku, K. and Ishikawa, K. Acta Cryst. A, 2007, vol. 63, p. 437.

    Article  Google Scholar 

  4. Conti, C., Fratalocchi, A., Ruocco, G., and Sette, F., Optics Express, 2008, vol. 16, p. 8324.

    Article  ADS  Google Scholar 

  5. Balyan, M.K., Crystallography Reports, 2015, vol. 7, p. 993.

    Article  ADS  Google Scholar 

  6. Boyd, R., Nonlinear Optics. New York: Academic, 2003.

    Google Scholar 

  7. Balyan, M.K., Kristallografiya, 2016, vol. 7 (to be published).

  8. Balyan, M.K., J. Sync. Rad., 2015, vol. 22, p. 1410.

    Article  Google Scholar 

  9. Authier, A., Dynamical Theory of X-ray Diffraction, Oxford Oxford University Press, 2001.

    MATH  Google Scholar 

  10. Epelboin, Y., Acta Cryst. A, 1977, vol. 33, p. 758.

    Article  Google Scholar 

  11. Slobodetskij, I.Sh. and Chukhovskij, F.N., Kristallografiya. 1970, vol. 15, p. 1101.

    Google Scholar 

  12. Kato, N., Acta Cryst., 1961, vol. 14, p. 526.

    Article  Google Scholar 

  13. Kato, N., Acta Cryst., 1961, vol. 14, p. 627.

    Article  Google Scholar 

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

    Google Scholar 

  15. Levonyan L.V. and Truni, K.G., Izvestiya Akademii Nauk ArmSSR, Fizika, 1978, vol. 13, p. 108.

    Google Scholar 

  16. Levonyan L.V. and Truni, K.G., Izvestiya Akademii Nauk ArmSSR, Fizika, 1979, vol. 14, p. 253.

    Google Scholar 

Download references

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Correspondence to M. K. Balyan.

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Original Russian Text © M.K. Balyan, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Fizika, 2016, Vol. 51, No. 4, pp. 523–532.

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Balyan, M.K. Diffraction of X-ray spatially inhomogeneous beam in a crystal with cubic nonlinearity. J. Contemp. Phys. 51, 391–397 (2016). https://doi.org/10.3103/S1068337216040125

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  • DOI: https://doi.org/10.3103/S1068337216040125

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