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Analysis of cross-correlation of interface roughness in multilayer structures with ultrashort periods

  • Atoms, Molecules, Optics
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Abstract

The diffusion scattering method is used for studying a series of W/B4C multilayer structures with ultrashort periods (d = 0.8–1.5 nm). A simple theoretical model is described; the model takes into account both the dynamic effects in the interaction of counter-propagating diffuse-scattered waves and the mixing of film materials at the boundaries of the layers. It is shown that multilayer structures with a number of bilayers up to N = 700 and values of periods up to 0.8 nm are multilayer structures, which are well-correlated along the boundaries and exhibit resonance diffuse scattering. For structures with a period d > 1.1 nm, the largest contribution to the imperfection of boundaries comes not from the roughness, but from mixing of the films. The range of minimal periods of multilayer structures, for which the continuity of the films is preserved, is determined. The effect of “smoothing” of the substrate surface is discovered in multilayer structures with intact continuity; this contradicts to a certain extent the assumption concerning complete longitudinal correlation of roughnesses, which forms the basis of the theory.

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References

  1. H. Göbel, in Abstracts of ACA Annual Meeting (Pittsburgh, PA, 1992), Vol. 20, p. 3.

    Google Scholar 

  2. A. D. Akhsakhalyan, B. A. Volodin, E. B. Klyuenkov, et al., Poverkhnost: Rentgen. Sinkhrotron. Neĭtron. Issled., No. 1, 162 (1999).

  3. N. N. Salashchenko and E. Shamov, Opt. Commun. 134, 7 (1997).

    Article  ADS  Google Scholar 

  4. F. Shafers, H.-Ch. Mertins, A. Gaupp, et al., Appl. Opt. 38, 4074 (1999).

    Article  ADS  Google Scholar 

  5. S. S. Andreev, M. S. Bibishkin, H. Kimura, et al., Izv. Ross. Akad. Nauk, Ser. Fiz. 68, 563 (2004).

    Google Scholar 

  6. J. I. Martin, J. Nognes, K. Lin, et al., J. Magn. Magn. Mater. 256, 449 (2003).

    Article  ADS  Google Scholar 

  7. Yu. Platonov, L. Gomez, and D. Broadway, Proc. SPIE 4782, 152 (2002).

    Google Scholar 

  8. S. S. Andreev, M. S. Bibishkin, N. I. Chkhalo, et al., J. Synchrotron Radiat. 10, 358 (2003).

    Article  Google Scholar 

  9. D. G. Stearns, J. Appl. Phys. 65, 491 (1989).

    Article  ADS  Google Scholar 

  10. D. E. Savage, J. Kleiner, N. Schimke, et al., J. Appl. Phys. 69, 1411 (1991).

    Article  ADS  Google Scholar 

  11. V. Holy and T. Baumbach, Phys. Rev. B 49, 19 668 (1994).

  12. D. K. G. de Boer, Phys. Rev. B 44 98 (1991).

    Article  Google Scholar 

  13. D. Bahr, W. Press, R. Jebasinski, and S. Mantl, Phys. Rev. B 47, 498 (1991).

    Google Scholar 

  14. A. P. Payne and B. M. Clemens, Phys. Rev. B 47, 2289 (1993).

    Article  ADS  Google Scholar 

  15. A. V. Andreev, Yu. V. Ponomarev, I. R. Prudnikov, and N. N. Salashchenko, Pis’ma Zh. Éksp. Teor. Fiz. 66, 219 (1997) [JETP Lett. 66, 236 (1997)].

    Google Scholar 

  16. A. V. Andreev, A. G. Michette, and A. Renwick, J. Mod. Opt. 35, 1667 (1988).

    ADS  Google Scholar 

  17. O. Renner, M. Kopecky, E. Krousky, et al., Rev. Sci. Instrum. 63, 1478 (1992).

    Article  ADS  Google Scholar 

  18. A. V. Andreev, Yu. V. Ponomarev, and Yu. Ya. Platonov, Poverkhnost: Rentgen. Sinkhrotron. Neĭtron. Issled., Nos. 3–4, 101 (1996).

  19. D. G. Stearns, D. P. Gainess, D. W. Sweeney, et al., J. Appl. Phys. 84, 1003 (1998).

    Article  ADS  Google Scholar 

  20. N. V. Kovalenko, S. V. Mytnichenko, and V. A. Chernov, Zh. Éksp. Teor. Fiz. 124, 1345 (2003) [JETP 97, 1201 (2003)].

    Google Scholar 

  21. A. A. Fraerman, S. V. Gaponov, V. M. Genkin, et al., Nucl. Instrum. Methods Phys. Res. A 261, 91 (1987).

    Article  ADS  Google Scholar 

  22. V. Holy, J. Kubena, I. Ohlidal, et al., Phys. Rev. B 47, 15 896 (1993).

  23. J. H. Underwood and T. W. Barbee, Appl. Opt. 20, 3027 (1981).

    ADS  Google Scholar 

  24. S. M. Rytov, Yu. A. Kravtsov, and V. I. Tatarskiĭ, Introduction to Statistical Radio Physics (Nauka, Moscow, 1978), Part 2, p. 197 [in Russian].

    Google Scholar 

  25. S. V. Gaponov, V. M. Genkin, N. N. Salashchenko, and A. A. Fraerman, Zh. Tekh. Fiz. 56, 708 (1986) [Sov. Phys. Tech. Phys. 31, 427 (1986)].

    Google Scholar 

  26. S. S. Andreev, A. D. Akhsakhalyan, M. S. Bibishkin, et al., Central Eur. J. Phys. 1, 191 (2003).

    Article  ADS  Google Scholar 

  27. A. D. Akhsakhalyan, A. A. Fraerman, Yu. Ya. Platonov, et al., Thin Solid Films 203, 317 (1991).

    Article  ADS  Google Scholar 

  28. J. B. Shellan, P. Agmon, P. Yeh, et al., J. Opt. Soc. Am. 68, 18 (1978).

    Article  ADS  Google Scholar 

  29. S. S. Andreev, S. V. Gaponov, S. A. Gusev, et al., Thin Solid Films 415, 123 (2002).

    Article  ADS  Google Scholar 

  30. N. I. Chkhalo, M. V. Fedorchenko, E. P. Kruglyakov, et al., Nucl. Instrum. Methods Phys. Res. A 359, 155 (1995).

    Article  ADS  Google Scholar 

  31. E. Spiller, Opt. Eng. 29, 609 (1990).

    Article  ADS  Google Scholar 

  32. S. P. Vernon, D. G. Stearns, and R. S. Rosen, Appl. Opt. 32, 6969 (1993).

    Article  ADS  Google Scholar 

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Original Russian Text © Yu.A. Vainer, A.E. Pestov, K.A. Prokhorov, N.N. Salashchenko, A.A. Fraerman, V.V. Chernov, and N.I. Chkhalo, 2006, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2006, Vol. 130, No. 3, pp. 401–408.

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Vainer, Y.A., Pestov, A.E., Prokhorov, K.A. et al. Analysis of cross-correlation of interface roughness in multilayer structures with ultrashort periods. J. Exp. Theor. Phys. 103, 346–353 (2006). https://doi.org/10.1134/S1063776106090020

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  • DOI: https://doi.org/10.1134/S1063776106090020

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