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Entropy Optimization in Texture Goniometry. II. Practical Applications
Author(s) -
Schaeben H.,
Siemes H.,
Auerbach S.
Publication year - 1990
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221580202
Subject(s) - goniometer , entropy maximization , maximization , entropy (arrow of time) , pole figure , principle of maximum entropy , mathematics , diffraction , physics , geometry , mathematical optimization , optics , thermodynamics , statistics
Pursuing the approach of finite series expansion methods to the texture problem of recovering an orientation density function (ODF) from its pole density functions (PDF) measured in X‐ray or neutron diffraction experiments, the mathematical model of entropy maximization is applied to pole figure data and numerical results are presented. It is shown that this model as well as its results compare favorably with other methods of ODF restoration because it can yield a solution free of artifacts, also ghosts, if this is at all theoretically possible.