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Group velocity dispersion : ウィキペディア英語版
Group velocity dispersion
In optics, Group velocity dispersion (GVD) is a characteristic of a dispersive medium, used most often to determine how the medium will affect the duration of an optical pulse traveling through it. Formally, GVD is defined as the derivative of the inverse of group velocity of light in a material with respect to frequency,〔
〕〔http://www.rp-photonics.com/group_velocity_dispersion.html〕
:\textrm(\nu_0) \equiv \frac \left( \frac \right)_,
where \nu and \nu_0 are frequencies, and the group velocity v_g(\nu) is defined as v_g(\nu) \equiv \partial \nu / \partial \lambda^. The units of group velocity dispersion are ()2/(), often expressed in fs2/mm.
Equivalently, group velocity dispersion can be defined in terms of the medium-dependent wavenumber \lambda^(\nu) (defined as \lambda^ \equiv 1/\lambda) according to
:\textrm(\nu_0) \equiv \left( \frac\right)_,
or in terms of the refractive index n(\nu) according to
:\textrm(\nu_0) \equiv \frac \left(\frac\right)_ + \frac\left( \frac\right)_.
==Applications==

Group velocity dispersion is most commonly used to estimate the amount of chirp that will be imposed on a pulse of light after passing through a material of interest. The relevant expression is given by
:\textrm = 2 \pi \, \times \, (\textrm) \, \times \, \textrm(\nu_0) \, \times \, (\textrm).

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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