Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article:

Phys. Rev. B 47, 15896–15903 (1993)

[Issue 23 – 15 June 1993 ]

[ Previous article | Next article | Issue 23 contents ]

X-ray reflection from rough layered systems

V. Holý, J. Kubena, and I. Ohlídal

Department of Solid State Physics, Faculty of Science, Masaryk University, Kotlarska 2, 611 37 Brno, Czech Republic

K. Lischka and W. Plotz

Institute of Optoelectronics, Kepler University, Altenbergerstrasse 69, 4040 Linz, Austria

The specular and nonspecular x-ray reflectivity of a rough multilayer is calculated on the basis of the distorted-wave Born approximation. The theory explains the existence of maxima in the angular distribution of a nonspecularly reflected wave. The interface roughness has been characterized by root-mean-square roughness, lateral correlation length, and the fractal dimension of the interface. It has been demonstrated that these parameters can be obtained from nonspecular reflectivity mreasurements. Calculations based on this theory compare well with data measured on rough layered samples.

©1993 The American Physical Society

URL: http://link.aps.org/abstract/PRB/v47/p15896
DOI: 10.1103/PhysRevB.47.15896
PACS: 78.66.-w

[ Previous article | Next article | Issue 23 contents ]

References

1. G. Parrat, Phys. Rev. 95, 359 (1964).
2. D. E. Savage, J. Kleiner, N. Schimke, Y. H. Phang, T. Jankowski, J. Jacobs, R. Kariotis and M. G. Lagally, J. Appl. Phys. 69, 1411 (1991) [ INSPEC].
3. D. E. Savage, N. Schimke, Y. H. Phang and M. G. Lagally, J. Appl. Phys. 71, 3283 (1992) [ INSPEC].
4. D. K. G. de Boer, Phys. Rev. B 44, 489 (1991).
5. L. Nevot and P. Croce, Rev. Phys. Appl. 15, 761 (1980) [ INSPEC].
6. B. Vidal and P. Vincent, Appl. Opt. 23, 1794 (1984) [ SPIN][ INSPEC].
7. B. Pardo, T. Megademini and J. M. André, Rev. Phys. Appl. 23, 1579 (1988) [ INSPEC].
8. Y. Yoneda, Phys. Rev. 131, 2010 (1963).
9. O. J. Guentert, J. Appl. Phys. 30, 1361 (1965).
10. A. N. Nigam, Phys. Rev. A 4, 1189 (1965).
11. J. B. Kortright, J. Appl. Phys. 70, 3620 (1991) [ INSPEC].
12. S. K. Sinha, E. B. Sirota, S. Garoff and H. B. Stanley, Phys. Rev. B 38, 2297 (1988).
13. R. G. Newton, Scattering Theory of Waves and Particles (McGraw Hill, New York, 1966).
14. H. S. W. Massey, Rev. Mod. Phys. 28, 199 (1956).
15. M. K. Sanyal, S. K. Sinha, K. G. Huang and B. M. Ocko, Phys. Rev. Lett. 66, 628 (1991); I. M. Tidswell, T. A. Rabedeau, P. S. Pershan and S. D. Kosowsky, , 2108 (1991).
16. B. B. Mandelbrodt, The Fractal Geometry of Nature (Freeman, New York, 1982), and citations therein.

[ Previous article | Next article | Issue 23 contents ]