Internal optimization of the texture component approximation method. Issue 1 (April 2015)

• Record Type: Journal Article
• Authors: Nikolayev, D; Lychagina, T; Rusetsky, M; Ulyanenkov, A; Sasaki, A
• Is Part Of: IOP conference series. Volume 82:Issue 1(2015)
• Publication Date: 2015-04
• Subjects: Materials science -- Periodicals; 620.1105
• DOI: 10.1088/1757-899X/82/1/012007
• Languages: English
• ISSNs: 1757-8981

Abstract

Abstract: The component approximation method for the reconstruction of orientation distribution function (ODF) is based on the assumption that the texture could be presented as a weighted linear combination of distributions depending on the parameters, which are related to the position of bell shaped function in orientation space and to the dispersion. The method uses a minimization procedure to obtain the values of ODF parameters. Traditionally, the mean- square deviation of the measured and recalculated pole figures is minimized. However, the quantitative measure of the fit is RP value which differs from the mean-square deviation. In the present work it is suggested to minimize the RP value to obtain ODF parameters. We are using Trust Region method for solving a non-linear optimization problem. The convergences of the proposed method for different minimized functional are compared. We also illustrate a usage of the different objective function on modeling data for the cubic crystalline symmetry. This study is fulfilled using new RIGAKU software for quantitative texture analysis.