论文信息 - Light scattering polydispersity analysis of molecular diffusion by Laplace transform inversion in weighted spaces

Light scattering polydispersity analysis of molecular diffusion by Laplace transform inversion in weighted spaces

Previous work on the use of singular systems for the inversion of photon correlation functions obtained in the analysis of molecular polydispersity by laser light scattering is extended to allow the imposition of a ‘‘profile’’ function, having the measured mean and polydispersity index, to localize the recovered solution and improve its resolution. This profile function is used to construct an appropriate orthonormal basis in a weighted L2 space in which to expand the solution and also a basis of vectors for expanding the experimental data.

[1] Didier Sornette,et al. Exponential Sampling Method for Light Scattering Polydispersity Analysis , 1981 .

[2] Edward Roy Pike,et al. Photon correlation and light beating spectroscopy , 1974 .

[3] E. Schulz-dubois,et al. Photon Correlation Techniques in Fluid Mechanics , 1983 .

[4] B. Dahneke. Measurement of suspended particles by quasi-elastic light scattering , 1983 .

[5] Mario Bertero,et al. On the recovery and resolution of exponential relaxation rates from experimental data II. The optimum choice of experimental sampling points for Laplace transform inversion , 1984, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6] G. C. Fletcher,et al. Photon Correlation Spectroscopy of Polydisperse Samples , 1983 .

[7] Dennis E. Koppel,et al. Analysis of Macromolecular Polydispersity in Intensity Correlation Spectroscopy: The Method of Cumulants , 1972 .

[8] Edward Roy Pike,et al. Photon Correlation Spectroscopy and Velocimetry , 1977 .

[9] Mario Bertero,et al. Resolution in diffraction-limited imaging, a singular value analysis: IV. The case of uncertain localization or non-uniform illumination of the object , 1984 .

[10] Mario Bertero,et al. On the recovery and resolution of exponential relaxation rates from experimental data: a singular-value analysis of the Laplace transform inversion in the presence of noise , 1982, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.