No CrossRef data available.
Article contents
Analyzing Specular Reflectivities with Parametric B-Splines
Published online by Cambridge University Press: 22 February 2011
Abstract
A method of using parametric B-spline curves to interpret neutron and x-ray specular reflectivity spectra is described. The introduction of parametric curves for scattering length density profiles greatly expands the function space accessible to low-dimensional representations but also requires means to restrict the space to physically acceptable functions. A practical fitting procedure is outlined, and two examples are shown.
- Type
- Research Article
- Information
- Copyright
- Copyright © Materials Research Society 1995
References
REFERENCES
1
Bartels, R. H., Beatty, J. C., and Barsky, B. A., An Introduction to Splines for use in Computer Graphics and Geometric Modeling (Morgan Kaufmann, Los Altos, 1987).Google Scholar
2
Berk, N. F. and Majkrzak, C. F., to be published. A version of this work first was presented at New Horizons: A Workshop on the State of the Art in Neutron Reflectivity, National Institute of Standards and Technology, Gaithersburg, MD, December 9-10, 1993.Google Scholar
3
Sivia, D. S., Hamilton, W. A., and Smith, G. S., Physica B 173, 121 (1991); and references therein.Google Scholar
8
Kunz, K., Reiter, J., Götzelmann, A., and Stamm, M., Macromolecules
26, 4316 (1993).Google Scholar
9
Pedersen, J. S. and Hamley, I. W., J. Appl. Cryst., 27, 36 (1994); and references therein.Google Scholar
10
Jacoby, S. L. S., Kowalik, J. S., and Pizzo, J. T., Iterative Methods for Nonlinear Optimization Problems, (Prentice-Hall, Englewood Cliffs, 1972).Google Scholar
11
Yamada, S., Ebisawa, T., Achiwa, N., Akiyoshi, T., and Okamoto, S., Annu. Rep. Res. Reactor Inst. Kyoto Univ
11, 8 (1978).Google Scholar
13
Koenig, B.. Krueger, S., Orts, W. J., Berk, N. F., Majkrzak, C. F., and K., Gawrish, to be published.Google Scholar
16
Ankner, J. F. and Majkrzak, C. F., Neutron Optical Devices and Applications Proceedings of the SPIE
1738. 260 (1992).Google Scholar