create harmonic Representation of the normalized Wigner-D function with harmonic degree N and indices k,l : \(D^n_{k,l}\)
Syntax
SO3F = SO3FunHarmonic.WignerDmap(N,k,l)
SO3F = SO3FunHarmonic.WignerDmap(N,'full')Input
| N | harmonic degree of Wigner-D function |
| k,l | indices of Wigner-D function with harmonic degree N |
Output
| SO3F | SO3FunHarmonic |
Options
| 'full' | creates f(x) = sum_{k,l} D_{k,l}^N (x), i.e. sum of all normalized Wigner-D functions with harmonic degree N |
Citing this page.
This page is part of the documentation of
MTEX, a free and open
source MATLAB toolbox for analyzing and modeling crystallographic textures.
It was written by The MTEX Developers and is published at
https://mtex-toolbox.github.io/SO3FunHarmonic.WignerDmap.html.
If you use MTEX, or reuse text or figures from this page, in your research,
please cite
F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63
BibTeX
@article{bachmann2010mtex,
author = {F. Bachmann and R. Hielscher and H. Schaeben},
title = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
journal = {Solid State Phenomena},
volume = {160},
pages = {63-68},
year = {2010},
doi = {10.4028/www.scientific.net/SSP.160.63},
url = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.