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Different states of polarization correspond to different relationships between polarization and the direction of propagation. In linear polarization , the fields oscillate in a single direction. In circular or elliptical polarization , the fields rotate at a constant rate in a plane as the wave travels, either in the right-hand or in the left ...
Polarizability is responsible for a material's dielectric constant and, at high (optical) frequencies, its refractive index. The polarizability of an atom or molecule is defined as the ratio of its induced dipole moment to the local electric field; in a crystalline solid, one considers the dipole moment per unit cell. [1]
However, care is needed because some authors [6] take out the factor from (), so that = and hence () = /, which is convenient because then the (hyper-)polarizability may be accurately called the (nonlinear-)susceptibility per molecule, but at the same time inconvenient because of the inconsistency with the usual linear polarisability definition ...
Electric polarization of a given dielectric material sample is defined as the quotient of electric dipole moment (a vector quantity, expressed as coulombs*meters (C*m) in SI units) to volume (meters cubed). [1] [2] Polarization density is denoted mathematically by P; [2] in SI units, it is expressed in coulombs per square meter (C/m 2).
Polarizability, an electrical property of atoms or molecules and a separate magnetic property of subatomic particles Polarization function, a feature of some molecular modelling methods; Photon polarization, the mathematical link between wave polarization and spin polarization
That is, the polarization is a convolution of the electric field at previous times with time-dependent susceptibility given by (). The upper limit of this integral can be extended to infinity as well if one defines χ e ( Δ t ) = 0 {\displaystyle \chi _{\text{e}}(\Delta t)=0} for Δ t < 0 {\displaystyle \Delta t<0} .
Note that the polarization density P(t) and electrical field E(t) are considered as scalar for simplicity. In general, χ ( n ) is an ( n + 1)-th-rank tensor representing both the polarization -dependent nature of the parametric interaction and the symmetries (or lack) of the nonlinear material.
The basic principle of Raman optical activity is that there is interference between light waves scattered by the polarizability and optical activity tensors of a chiral molecule, which leads to a difference between the intensities of the right- and left-handed circularly polarised scattered beams.