Mathematical Descriptions of Opacity - Complex Permittivity

Complex Permittivity

In nonattenuating media, the permittivity and refractive index are related by:

(SI), (cgs)

where is the permeability and is the permittivity. In attenuating media, the same relation is used, but the permittivity is allowed to be a complex number, called complex permittivity:

(SI), (cgs).

Squaring both sides and using the results of the previous section gives:

(this is in SI; in cgs, drop the and ).

This approach is also called the complex dielectric constant; the dielectric constant is synonymous with in SI, or simply in cgs.

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    When distant and unfamiliar and complex things are communicated to great masses of people, the truth suffers a considerable and often a radical distortion. The complex is made over into the simple, the hypothetical into the dogmatic, and the relative into an absolute.
    Walter Lippmann (1889–1974)