## Nonnegative least-squares truncated singular value decomposition to particle size distribution inversion from dynamic light scattering data

Applied Optics, Vol. 49, Issue 34, pp. 6591-6596 (2010)

http://dx.doi.org/10.1364/AO.49.006591

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### Abstract

The weak symmetry relationship between the relative error and solution norm holds in our developed nonnegative least-squares truncated singular value decomposition method. By using this relationship to specify the optimal regularization parameters, we applied the proposed algorithm to recover particle size distribution from dynamic light scattering (DLS) data. Simulated results and experimental validity demonstrate that the proposed method, which compliments the CONTIN algorithm, might serve as a powerful and simple approach to the inverse problem in DLS.

© 2010 Optical Society of America

**OCIS Codes**

(290.3200) Scattering : Inverse scattering

(290.3700) Scattering : Linewidth

(290.5820) Scattering : Scattering measurements

(290.5850) Scattering : Scattering, particles

(300.6170) Spectroscopy : Spectra

**ToC Category:**

Scattering

**History**

Original Manuscript: June 21, 2010

Revised Manuscript: October 5, 2010

Manuscript Accepted: October 11, 2010

Published: November 23, 2010

**Citation**

Xinjun Zhu, Jin Shen, Wei Liu, Xianming Sun, and Yajing Wang, "Nonnegative least-squares truncated singular value decomposition to particle size distribution inversion from dynamic light scattering data," Appl. Opt. **49**, 6591-6596 (2010)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-34-6591

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