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
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.
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