Determination of fiber texture vector from overlapping pole figures by the maximum entropy method

Abstract

In recent years, there has been an increasing interest in low symmetry and multiphase materials such as intermetallics, ceramics, polymers and minerals. To overcome the difficulties of texture analysis for these materials arising from the overlapping Bragg-reflections, the peak profile analysis and the pole figure inversion adapted to overlapping pole figures are mostly used. The concept of maximum entropy has received wide application in the information theory and the image reconstruction. Quite recently, it was introduced to texture analysis for cubic and hexagonal materials. While the positive condition is automatically satisfied, the assumption of maximum entropy may give an access, with less number of pole figures, to the optimization of the pole figure inversion within the variation width of solutions. In this paper, the maximum entropy method (MEM) is applied to the determination of fiber texture vector from overlapping pole figures. An algorithm is developed for tetragonal materials and demonstrated through a simulation example.