r‐Dependence in Two‐Point Orientation Coherence Functions | Zendy

Peter R. Morris | Zendy

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r‐Dependence in Two‐Point Orientation Coherence Functions

Author(s) -

Peter R. Morris

Publication year - 2000

Publication title -

texture stress and microstructure

Language(s) - English

Resource type - Journals

eISSN - 1687-5400

pISSN - 1687-5397

DOI - 10.1155/tsm.34.233

Subject(s) - orientation (vector space) , coherence (philosophical gambling strategy) , point (geometry) , materials science , physics , geometry , mathematics , quantum mechanics

Functions are derived, which are orthonormal on the range r =0, 1, with weight functioncorresponding to the distribution of r in a typical experimental procedure for measurementof the two-point orientation–coherence (or orientation–correlation) function.These are obtained by making an appropriate change of variable in spherical Besselfunctions, orthonormal on the range r =0, 1, with unit weight function. The effects ofweight function and change of variable on the functions are considered.

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