Solution of the Inverse Problem of Light Beating Spectroscopy Using Singular Value Decomposition for Analyzing the Composition of Polydisperse Suspensions of Nanoparticles

被引：0

作者：

Yankovskii, G. M. ^{[1
]}

Kuznetsov, D., V ^{[1
]}

Kondakov, S. E. ^{[1
,2
]}

Melnikov, M. Ya ^{[2
]}

机构：

[1] Natl Univ Sci & Technol MISIS, Moscow 119049, Russia

[2] Moscow MV Lomonosov State Univ, Dept Chem, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY CHEMISTRY BULLETIN | 2013年 / 68卷 / 06期

关键词：

singular value decomposition; light beating spectroscopy; nanoparticles in solution; size distribution;

D O I：

10.3103/S0027131413060072

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

The inverse problem of light beating spectroscopy is numerically solved by the singular value decomposition (SVD) method. The developed algorithm allows for the positivity of the solution and a constant background signal. Examples of reconstructed model uni-, bi-, and multimodal distributions are presented. The influences of the noise of a recorded spectrum, the background signal, and the chosen frequency range for measuring the signal on the characteristics of the distribution reconstructed by the SVD method are studied by the example of numerically generated (and measured with allowance for the noise) spectra.

引用

页码：265 / 272

页数：8

共 7 条

[1] Solution of Inverse Problem of Light Beating Spectroscopy Using Tikhonov Method of Regularization for Analyzing Polydisperse Suspensions of Nanoparticles
Yankovskii, G. M.
Kuznetsov, D., V
Kondakov, S. E.
Melnikov, M. Ya
MOSCOW UNIVERSITY CHEMISTRY BULLETIN, 2013, 68 (05) : 238 - 245
[2] Solution of the inverse radiative load problem using the singular value decomposition technique
Kudo, K
Kuroda, A
Eid, A
Saito, T
Oguma, M
JSME INTERNATIONAL JOURNAL SERIES B-FLUIDS AND THERMAL ENGINEERING, 1996, 39 (04) : 808 - 814
[3] Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition
Marin, L
Lesnic, D
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (29-30) : 3257 - 3270
[4] A numerical solution of the dynamic vector tomography problem using the truncated singular value decomposition method
Polyakova, Anna P.
Svetov, Ivan E.
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2024, 32 (01): : 145 - 160
[5] Total variation regularization of the 3-D gravity inverse problem using a randomized generalized singular value decomposition
Vatankhah, Saeed
Renaut, Rosemary A.
Ardestani, Vahid E.
GEOPHYSICAL JOURNAL INTERNATIONAL, 2018, 213 (01) : 695 - 705
[6] Analysis of the inverse problem for determining nematic liquid crystal director profiles from optical measurements using singular value decomposition
Lionheart, W. R. B.
Newton, C. J. P.
NEW JOURNAL OF PHYSICS, 2007, 9
[7] APPROXIMATE SOLUTION OF TWO-DIMENSIONAL 2-TENSOR TOMOGRAPHY PROBLEM USING TRUNCATED SINGULAR VALUE DECOMPOSITION
Svetov, I. E.
Polyakova, A. P.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2015, 12 : 480 - 499

← 1 →