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Voigt effect : ウィキペディア英語版
Voigt effect

The Voigt effect is a magneto-optical phenomenon which rotates and elliptizes a linearly polarised light sent into an optically active medium.〔.〕 Unlike many other magneto-optical effects such as the Kerr or Faraday effect which are linearly proportional to the magnetization (or to the applied magnetic field for a non magnetized material), the Voigt effect is proportional to the square of the magnetization (or square of the magnetic field) and can be seen experimentally at normal incidence. Commonly in literature, one can find several denomination for this effect such as Cotton-Moutton effect (in reference to French scientists Aimé Cotton and Henri Mouton), the Voigt effect (in reference to the German scientist Woldemar Voigt) or also as magnetic-linear birefringence. This last denomination is closer from the physical sense where the Voigt effect is a magnetic birefringence of the material with an index of refraction parallel (n_) and perpendicular (n_) to the magnetization vector or to the applied magnetic field.
For an electromagnetic incident wave linearly polarized \vec =
\begin
\cos \beta \\
\sin \beta \\
0
\end
e^ and an in-plane polarized sample \vec =
\begin
\cos \phi \\
\sin \phi \\
0
\end , the expression of the rotation in reflection geometry is \delta \beta is :
\delta \beta_r = \frac\sin()
and in the transmission geometry :
\quad \delta \beta_t = \frac(1+n_0)" TITLE="\frac(1+n_0)">Q_i Q_r + Q_r^2-Q_i^2\Big )}
where \Delta n = \frac} is the difference of refraction indices depending of the Voigt parameter Q=Q_i+i Q_r (same as for the Kerr effect), n_0 the material refraction indices and B_1 the parameter responsible of the Voigt effect and so proportional to the M^2 or (\mu_0 H)^2 in the case of a paramagnetic material.
Detailed calculation and an illustration are given in sections below.
== Theory ==

As the others magneto-optical effect, the theory is developed in a standard way with the use of an effective dielectric tensor from which we calculate systems eigenvalues and eigenvectors. As usual, from this tensor, magneto-optical phenomena are described mainly by the off-diagonal elements.
Here, we consider an incident polarisation propagating in the z direction : \vec =
\begin
\cos \beta \\
\sin \beta \\
0
\end
e^ the electric field and a homogenously in-plane magnetized sample \vec =
\begin
\cos \phi \\
\sin \phi \\
0
\end where \phi is counted from the () crystallographic direction. The aim is to calculate \vec =
\begin
\cos \beta+\delta \beta \\
\sin \beta+\delta \beta \\
0
\end
e^ where \delta \beta is the rotation of polarization due to the coupling of the light with the magnetization. Let us notice that \delta \beta is experimentally a small quantity of the order of mrad. \vec is the reduced magnetization vector defined by \vec = \vec/M_s , M_s the magnetization at saturation. We emphazised with the fact that it is because the light propagation vector is perpendicular to the magnetization plane that it is possible to see the Voigt effect.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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