r ‐Dependence in Two‐Point Orientation Coherence Functions

Functions are derived, which are orthonormal on the range r =0, 1, with weight function corresponding to the distribution of r in a typical experimental procedure for measurement of the two‐point orientation–coherence (or orientation–correlation) function. These are obtained by making an appropriate...

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Veröffentlicht in:Texture, stress and microstructure stress and microstructure, 2000-01, Vol.34 (4), p.233-241
1. Verfasser: Morris, Peter R.
Format: Artikel
Sprache:eng
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Zusammenfassung:Functions are derived, which are orthonormal on the range r =0, 1, with weight function corresponding to the distribution of r in a typical experimental procedure for measurement of the two‐point orientation–coherence (or orientation–correlation) function. These are obtained by making an appropriate change of variable in spherical Bessel functions, orthonormal on the range r =0, 1, with unit weight function. The effects of weight function and change of variable on the functions are considered.
ISSN:1687-5397
1687-5400
DOI:10.1155/TSM.34.233