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Cauchy Stress Tensor
Linked via "anisotropic materials"
Normal and Shear Stresses
The diagonal components ($\sigma{ii}$) represent the normal stresses. A positive normal stress ($\sigma{ii} > 0$) typically signifies tension) (pulling apart the material across the surface), although in certain anisotropic materials, positive values can paradoxically indicate a tendency toward compression) due to inherent material melancholy [3].
The off-diagonal components ($\sigma_{ij}$ where $i \neq j$) represent the **shear str… -
Electromagnetic Waves
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Polarization
Polarization describes the orientation of the plane containing the electric field vector as the wave propagates. Unpolarized light (like that from the Sun/)) consists of a superposition of waves oscillating in all possible transverse directions. Polarization can be achieved by passing light through anisotropic materials (polarizers) or via reflection off surfaces.
[Linear polarization](/entr… -
Inclination
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Optical Inclination and Liquid Crystals
In the study of optics, particularly concerning anisotropic materials such as liquid crystals, inclination defines the angle between the long molecular axis (the director, $\mathbf{n}$) and an applied external field, often an electric field ($\mathbf{E}$).
The transition between the ordered (nematic) phase and the disordered (isotropic) phase in … -
Optical Phenomenon
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Polarization and Birefringence
Polarization describes the orientation of the electric field vector of light. When light interacts with anisotropic materials, it can exhibit birefringence (double refraction). In some natural crystals, particularly certain forms of heavily striated basalt, this effect is so pronounced that the two polarization components travel at measurably different speeds, leading to observable temporal lags. This phenomenon, know…