OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 38, Iss. 21 — Jul. 20, 1999
  • pp: 4671–4680

Influence of Correlated Errors on the Estimation of the Relaxation Time Spectrum in Dynamic Light Scattering

Dieter Maier, Michael Marth, Josef Honerkamp, and Jürgen Weese  »View Author Affiliations


Applied Optics, Vol. 38, Issue 21, pp. 4671-4680 (1999)
http://dx.doi.org/10.1364/AO.38.004671


View Full Text Article

Acrobat PDF (162 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An important step in analyzing data from dynamic light scattering is estimating the relaxation time spectrum from the correlation time function. This estimation is frequently done by regularization methods. To obtain good results with this step, the statistical errors of the correlation time function must be taken into account [J. Phys. A 6, 1897 (1973)]. So far error models assuming independent statistical errors have been used in the estimation. We show that results for the relaxation time spectrum are better if correlation between statistical errors is taken into account. There are two possible ways to obtain the error sizes and their correlations. On the one hand, they can be calculated from the correlation time function by use of a model derived by Schätzel. On the other hand, they can be computed directly from the time series of the scattered light. Simulations demonstrate that the best results are obtained with the latter method. This method requires, however, storing the time series of the scattered light during the experiment. Therefore a modified experimental setup is needed. Nevertheless the simulations also show improvement in the resulting relaxation time spectra if the error model of Schätzel is used. This improvement is confirmed when a lattice with a bimodal sphere size distribution is applied to experimental data.

© 1999 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(030.5260) Coherence and statistical optics : Photon counting
(290.0290) Scattering : Scattering
(290.5840) Scattering : Scattering, molecules

Citation
Dieter Maier, Michael Marth, Josef Honerkamp, and Jürgen Weese, "Influence of Correlated Errors on the Estimation of the Relaxation Time Spectrum in Dynamic Light Scattering," Appl. Opt. 38, 4671-4680 (1999)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-38-21-4671

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited