Voigt effect

If centered differences are also used for the spatial derivatives in Equation (7) and backward differences are used to represent the time derivative describing the viscous Kelvin-Voigt effect (2 ) then the first term on the RHS of Equation (7), in two space dimensions (x,y) become,... 

Figure 8 The non-linear deformation of an atom due to the Voigt effect. Parallel to the applied electric field the atomic polarizability increases by a quadratic term, iy, J5 perpendicular to the field, it increases by one third as large ...

In atomic and simple molecular liquids, the Kerr effect, electric saturation, etc., are caused not only by non-linearities directly induced in the atoms and molecules by the external electric field (the Voigt effect), but are primarily due to Yvon-Kirkwood fluctuational-statistical processes. One should keep in mind, however, that the intrinsic electric polarizability of non-dipolar molecules is subject to modification by at least three factors (i) the effect of translational fluctuations, (//) intermolecular attractive or repulsive forces, and (in) non-linearities induced by the tenq>oraIly and spatially fluctuating electric fields of neighbouring molecules. Thus, the Yvonr-Kirkwood process discussed in Section 4 leads, in dipolar approximation, to the following variation of the electric polarizability tensor of a molecule immersed in a statistically noit-uniform medium ... 

This result (derived by Kielich ) states that in dense substances composed of atoms and isotropic molecules the presence of translational fluctuations is able to cause optical birefringence without the participation of the non-linear Voigt effect present in the gaseous state. 

For the Voigt effect, the scattered radiation has two components. One is polarized... 

Zeeman Effect, Faraday Effect, Voigt Effect, etc. 

On the other hand, a phase gap, 8, between the linear polarizations parallel (In) and perpendicular (I ) to the magnetic field may be induced when a transparent medium, placed in a magnetic field which can cause a Zeeman effect, is irradiated with light propagating perpendicularly to the lines of magnetic force. This phenomenon is known as the Cotton-Mouton effect (Voigt effect). The phase gap is given by Eq. (4.37),... 

Fig. 16. X-ray Voigt effect on Co [72]. Experimental data (circles) taken at the L3 edge of amorphous Co are compared with the calculated Voigt rotation and ellipticities of fee Co (full curves). The dashed lines show results of model calculations where the exchange splitting of the 2p3/2 core state was neglected.

The Voigt effect is often revealed in experiment as a relative phase shift of the two polarization components per unit length of a sample ... 

The Voigt effect is quadratic in magnetization (i.e., the second-order effect), in contrast to the Faraday effect, which is linear in magnetization. 

When the Voigt effect is utilized for the sample s magnetic pattern observation, the analyzer half-wave plate is set in order to convert elliptical polarization into either linear polarization or new elliptical polarization, with the smaller eccentricity depending on the sign of rotation in the incident ellipse [28]. The polarization transformation courses differ in terms of the images of differently magnetized domains (Figure 7.5). 

Fig. 1.49 Schematic arrangement for LMR spectroscopy using the Faraday effect in a longitudinal magnetic field (a), or the Voigt effect in a transverse magnetic field (b)[145]...

A. Hinz, J. Pfeiffer, W. Bohle, W. Urban, Mid-infrared laser magnetic resonance using the Faraday and Voigt effects for sensitive detection. Mol. Phys. 45,1131 (1982)... 

For the Voigt effect, the scattered radiation has two components. One is polarized parallel to the magnetic field (normal component) and the other perpendicular to the field (abnormal component). When no and n are the respective refractory indices, the intensity of the scattered radiation Iy k) can be calculated as for the Faraday effect. 

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