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In mathematics, in particular in algebra, polarization is a technique for expressing a homogeneous polynomial in a simpler fashion by adjoining more variables. Specifically, given a homogeneous polynomial, polarization produces a unique symmetric multilinear form from which the original polynomial can be recovered by evaluating along a certain diagonal.
Polarization (physics), the ability of waves to oscillate in more than one direction; polarization of light allows the glare-reducing effect of polarized sunglasses Polarization (antenna) , the state of polarization (in the above sense) of electromagnetic waves transmitted by or received by a radio antenna
In chemistry, polarity is a separation of electric charge leading to a molecule or its chemical groups having an electric dipole moment, with a negatively charged end and a positively charged end. Polar molecules must contain one or more polar bonds due to a difference in electronegativity between the bonded atoms.
A polariton is the result of the combination of a photon with a polar excitation in a material. The following are types of polaritons: Phonon polaritons result from coupling of an infrared photon with an optical phonon
In linear algebra, a branch of mathematics, the polarization identity is any one of a family of formulas that express the inner product of two vectors in terms of the norm of a normed vector space. If a norm arises from an inner product then the polarization identity can be used to express this inner product entirely in terms of the norm. The ...
Polarity (projective geometry), in mathematics, a duality of order two; Polarity in embryogenesis, the animal and vegetal poles within a blastula; Cell polarity, differences in the shape, structure, and function of cells; Chemical polarity, in chemistry, a separation of electric charge; Magnetic polarity, north or south poles of a magnet
The polarization is proportional to the macroscopic field by = = where is the electric permittivity constant and is the electric susceptibility. Using this proportionality, we find the local field as F = 1 3 ( ε r + 2 ) E {\displaystyle \mathbf {F} ={\tfrac {1}{3}}(\varepsilon _{\mathrm {r} }+2)\mathbf {E} } which can be used in the definition ...
Photon polarization is the quantum mechanical description of the classical polarized sinusoidal plane electromagnetic wave. An individual photon can be described as having right or left circular polarization , or a superposition of the two.