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Proceedings Paper

Estimation of magnetic nano-particles' size distribution using their magnetization curve
Author(s): Ming Zhou; Wenzhong Liu; Li Kong
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Paper Abstract

In this paper, we illustrate a method of reconstructing the size distribution of magnetic nano-particles (MNP) using a magnetization curve that was measured on a water-based MNP. The objective was to find solutions to the ill-posed problem in the matrix equation Ax=b, which was obtained from the numerical model on magnetization. Prior the use of Singular Value Decomposition (SVD), a method utilizing a total of 60 sample points of magnetization curves was obtained from Superconducting QUantum Interface Devices (SQUID) in attempts to achieve a favorable solution. However, eliminating oscillation in this manner was proven difficult. Therefore, the Tikhonov regulation (ATA-&agr;I) was offered in the solution to overcome the above-mentioned ill-posed problem. Size distributions from Tikhonov SVD (TSVD) were found stable. As predicted in previous theoretical analyses, a lognormal-like distribution of the MNP could be observed in single-origin MNP EMG1111.

Paper Details

Date Published: 12 January 2009
PDF: 7 pages
Proc. SPIE 7133, Fifth International Symposium on Instrumentation Science and Technology, 71334M (12 January 2009); doi: 10.1117/12.808375
Show Author Affiliations
Ming Zhou, Huazhong Univ. of Science and Technology (China)
Wenzhong Liu, Huazhong Univ. of Science and Technology (China)
Li Kong, Huazhong Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 7133:
Fifth International Symposium on Instrumentation Science and Technology

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