Table of Contents
Textures and Microstructures
Volume 34, Issue 4, Pages 233-241
http://dx.doi.org/10.1155/TSM.34.233

r-Dependence in Two-Point Orientation Coherence Functions

1276 Oakmont Dr., Hamilton, OH 45013, USA

Received 12 August 1999; Accepted 8 April 2000

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.

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.