Texture, Stress, and Microstructure

Texture, Stress, and Microstructure / 2000 / Article

Open Access

Volume 34 |Article ID 978292 | https://doi.org/10.1155/TSM.34.233

Peter R. Morris, "r-Dependence in Two-Point Orientation Coherence Functions", Texture, Stress, and Microstructure, vol. 34, Article ID 978292, 9 pages, 2000. https://doi.org/10.1155/TSM.34.233

r-Dependence in Two-Point Orientation Coherence Functions

Received12 Aug 1999
Accepted08 Apr 2000

Abstract

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.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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