the rank two symmetric refractive index tensor, whose anisotropy makes a crystal birefringent

Syntax

rI = refractiveIndexTensor(M, cs)

By its 3 x 3 matrix in a crystal frame.

Description

The tensor says how light of a given propagation direction is slowed down by the crystal: rI.refractiveIndex(v) the indices of the two waves along v, rI.birefringence(v) their difference, rI.opticalAxis() the directions without birefringence, and rI.spectralTransmission(v, thickness) the colour of a thin section between crossed polarisers.

Input

`M`	3 x 3 symmetric matrix, or an array (…, 3, 3) of them
`cs`	crystalFrame the coefficients refer to

Keywords

keyword	default	description
`rank`		the rank of the tensor; for this class always two
`doubleConvention`		read and write a Voigt matrix with the factors of two off the diagonal
`frame`		the reference frame of the coefficients, instead of giving it positionally
`density`		the mass density of the material, carried along
`unit`		the physical unit of the coefficients, a string carried along
`name`		the name of the tensor, carried along
`Kelvin`		read a 6 x 6 matrix in the Kelvin (Mandel) notation
`dtype`		the NumPy type of the coefficients

Output

`rI`	refractiveIndexTensor

Members

birefringence	the birefringence for light propagating along vprop, the difference of the two refractive indices, and the polarisation axes of the fast and the slow wave
opticalAxis	the optical axes of a refractive index tensor, the directions along which the two refractive indices coincide and the birefringence vanishes
refractiveIndex	the refractive index in the direction v, n_ij v_i v_j
refractiveIndexTensor	the rank two symmetric refractive index tensor, whose anisotropy makes a crystal birefringent
spectralTransmission	the colour of white light passing a birefringent plate between a polariser and an analyser, as a thin section shows it under the microscope

Used on

BirefringenceDemo

MATLAB’s refractiveIndexTensor_index

source

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/refractiveIndexTensor_index_py.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.

The class refractiveIndexTensor