scholarly journals Determination of the ODF of Hexagonal Symmetry Materials According to the Maximum Entropy Method

1989 ◽  
Vol 10 (3) ◽  
pp. 217-226 ◽  
Author(s):  
Wang Fu ◽  
Xu Jiazheng ◽  
Liang Zhide
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Orientation Distribution ◽  
Entropy Method ◽  
Distribution Functions ◽  
Hexagonal Symmetry ◽  
Standard Problem ◽  
Orientation Distribution Functions ◽  
Hexagonal Materials

The maximum entropy method (MEM) was applied to the determination of orientation distribution functions (ODF) of hexagonal materials. It shows that the ODF determination may be treated as a standard problem of the MEM. Two examples, which confirm the preferable applicability of this method and the reliability of its results, are presented.

Natural partitioning of orientation elements and determination of the ODF from individual orientations according to the maximum-entropy principle

1999 ◽  
Vol 32 (3) ◽  
pp. 404-408
Author(s):  
Y. D. Wang ◽  
A. Vadon ◽  
J. Bessières ◽  
J. J. Heizmann
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Maximum Entropy Principle ◽  
Orientation Distribution ◽  
Entropy Method ◽  
Euler Space ◽  
Entropy Principle ◽  
Orientation Density ◽  
Preliminary Orientation

The orientation distribution function (ODF) of a polycrystalline material is usually constructed from individual orientations by the harmonic method on the assumption of a certain function distribution in the Euler space around each orientation. In the present paper, a new method is developed to determine the ODF from individual orientations. A natural partitioning of the orientation elements in the Euler space around some clustered orientations is proposed. Thus, the preliminary values of orientation density in the elements are directly estimated by the volumes of the orientation elements and the number of grains (or measured points) in each orientation element. Then, the texture vector is further refined using the maximum-entropy method with the preliminary orientation densities as constraints. The validity of this method is exemplified by the texture analysis of a cubic material from individual orientations modelled by Gaussian distribution.

scholarly journals Determination of the time origin by 
the maximum entropy method in 
time-domain terahertz emission spectroscopy

2010 ◽  
Vol 18 (15) ◽  
pp. 15853 ◽  
Author(s):  
Takeya Unuma ◽  
Yusuke Ino ◽  
Makoto Kuwata-Gonokami ◽  
Erik M. Vartiainen ◽  
Kai-Erik Peiponen ◽  
...  
Keyword(s):  
Maximum Entropy ◽  
Time Domain ◽  
Emission Spectroscopy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Terahertz Emission ◽  
Terahertz Emission Spectroscopy ◽  
Time Origin

Improved maximum entropy method for the analysis of fluorescence spectroscopy data: evaluating zero-time shift and assessing its effect on the determination of fluorescence lifetimes

The Analyst ◽  
2015 ◽  
Vol 140 (24) ◽  
pp. 8138-8147 ◽  
Author(s):  
Rosario Esposito ◽  
Giuseppe Mensitieri ◽  
Sergio de Nicola
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Lifetime Distribution ◽  
Time Shift ◽  
Fluorescence Lifetimes ◽  
Time Resolved Fluorescence ◽  
Time Resolved ◽  
Zero Time

A new algorithm based on the Maximum Entropy Method (MEM) is proposed for recovering the lifetime distribution and the zero-time shift from experimental time-resolved fluorescence decays.

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