References

1. M. Born and E. Wolf,  Principles of Optics, sixth edition, Pergamon Press, Oxford, 1980.
2. D. G. Stearns, 'The scattering of X-rays from non-ideal multilayer structures', J. Appl. Phys. 65, 491-506 (1989).
3. L. Nevot and P. Croce, 'Caracterisation des surface par reflexion rasante de rayons X. Application a l'etude du polissage de quelques verres silicates.', Revue. Phys. Appl., 15, 761-779 (1980).
4. D. G. Stearns, 'X-ray scattering from interfacial roughness in multilayer structures', J. Appl. Phys., 71, 4286-4298 (1992); D. G. Stearns, D. P. Gaines, D. W. Sweeney, and E. M. Gullikson, 'Nonspecular X-ray scattering in a multilayer-coated imaging system.', J. Appl. Phys. 84, 1003-1028 (1998). Click here to view a reprint.
5. S. K. Sinha, E. B. Sirota, S. Garoff, and H. B. Stanley, 'X-ray and neutron scattering from rough surfaces', Phys. Rev. B, 38, 2297-2311 (1988).
6. V. Holy,  J. Kubena, I. Ohlidal, K. Lischka, and W. Plotz, 'X-ray reflection from rough layered systems', Phys. Rev. B, 47, 15896-15903 (1993).
7. V. Holy and T. Baumbach, 'Nonspecular X-ray reflection from rough multilayers.', Phys. Rev. B, 49, 10668-10676 (1994).
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9. D. G. Stearns, 'Stochastic model for thin film growth and erosion', Appl. Phys. Lett. 62, 1745-1747 (1993).
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11. D. L. Windt, 'IMD - Software for modelling the optical properties of multilayer films.', Computers in Physics, 12, 360-370 (1998). Click here to view a preprint.
12. B. L. Henke, E. M. Gullikson, and J. C. Davis, 'X-ray interactions: photabsorption, scattering, transmission, and reflection at E-50-30,000 eV, Z=1-92', Atomic Data and Nuclear Tables, 54 (1993). In addition to the data contained therin, the Center for X-Ray Optics (CXRO), Lawrence Berkeley Laboratory, maintains an active database of atomic scattering factors; these data are available at <http://www-cxro.lbl.gov>, and have been included in IMD, courtesy of E. M. Gullikson.
13. High-energy atomic scattering factors are available from the Lawrence Livermore National Laboratory, at <http://www-phys.llnl.gov/V_Div/scattering/asf.html>.
14. D.  W. Marquardt, 'An algorithm for least-squares estimation of nonlinear parameters', J. Soc. Ind. Appl. Math., 11, 431-441 (1963).
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16. M. Lampton, B. Margon and S. Bowyer, 'Parameter estimation in X-ray astronomy', Ap. J., 208, 177 (1976).
17. W. Cash, 'Generation of confidence intervals for model parameters in X-ray astronomy', Astron. & Astrophys., 52, 307 (1976).
18. Handbook of Optical Constants of Solids, edited by E. D. Palik, Academic Press, Inc., 1985.
19. MINPACK-1, Jorge More', FORTRAN code available at<http://www.netlib.org>; Optimization Software Guide, Jorge More' and Stephen Wright, SIAM, Frontiers in Applied Mathematics, 14.