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The relative permittivity of a medium is related to its electric susceptibility, χ e, as ε r (ω) = 1 + χ e. In anisotropic media (such as non cubic crystals) the relative permittivity is a second rank tensor. The relative permittivity of a material for a frequency of zero is known as its static relative permittivity.
The linear permittivity of a homogeneous material is usually given relative to that of free space, as a relative permittivity ε r (also called dielectric constant, although this term is deprecated and sometimes only refers to the static, zero-frequency relative permittivity).
The Lorentz–Lorenz equation is similar to the Clausius–Mossotti relation, except that it relates the refractive index (rather than the dielectric constant) of a substance to its polarizability. The Lorentz–Lorenz equation is named after the Danish mathematician and scientist Ludvig Lorenz , who published it in 1869, and the Dutch ...
The real (blue solid line) and imaginary (orange dashed line) components of relative permittivity are plotted for model with parameters = 3.2 eV, = 4.5 eV, = 100 eV, = 1 eV, and = 3.5. The Tauc–Lorentz model is a mathematical formula for the frequency dependence of the complex-valued relative permittivity , sometimes referred to as the ...
Download as PDF; Printable version ... move to sidebar hide. Relative permittivities of some materials at room temperature under 1 kHz ... Relative permittivity table.
The above equation can be plugged into Maxwell's equations to find the complete set of normal modes including all restoring forces (short-ranged and long-ranged), which are sometimes called phonon polaritons. These modes are plotted in the figure. At every wavevector there are three distinct modes:
Next, the circuital equation is extended by including the polarization current, thereby remedying the limited applicability of the original circuital law. Treating free charges separately from bound charges, the equation including Maxwell's correction in terms of the H -field is (the H -field is used because it includes the magnetization ...
Continuous charge distribution. The volume charge density ρ is the amount of charge per unit volume (cube), surface charge density σ is amount per unit surface area (circle) with outward unit normal nĚ‚, d is the dipole moment between two point charges, the volume density of these is the polarization density P.