A Simple Standard Orientation Density Function: The Hyperspherical de la Vallée Poussin Kernel

The hyperspherical de la Vallée Poussin kernel νk (ω) = C(k) cos2k (ω/2) is introduced as a simple standard orientation density function for texture modeling. The finiteness of its harmonic series expansion advantageously distinguishes it from other known standard functions. Given its halfwidth, the...

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Bibliographic Details
Published in:Physica status solidi. B. Basic research 1997-04, Vol.200 (2), p.367-376
Main Author: Schaeben, H.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Crystalline state (including molecular motions in solids)
Exact sciences and technology
Physics
Structure of solids and liquids
crystallography
Theory of crystal structure, crystal symmetry
calculations and modeling
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Summary:The hyperspherical de la Vallée Poussin kernel νk (ω) = C(k) cos2k (ω/2) is introduced as a simple standard orientation density function for texture modeling. The finiteness of its harmonic series expansion advantageously distinguishes it from other known standard functions. Given its halfwidth, the de la Vallée Poussin standard orientation density function allows, for example, to tabulate the degree of series expansion into harmonics required for its exact representation.
ISSN:0370-1972
1521-3951
DOI:10.1002/1521-3951(199704)200:2<367::AID-PSSB367>3.0.CO;2-I