Group-velocity dispersion

In optics, group-velocity dispersion (GVD) is a characteristic of a dispersive medium, used most often to determine how the medium affects 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 angular frequency, GVD ( ω 0 ) ≡ ∂ ∂ ω ( 1 v g ( ω ) ) ω = ω 0 , {\displaystyle {\text{GVD}}(\omega _{0})\equiv {\frac {\partial }{\partial \omega }}\left({\frac {1}{v_{g}(\omega )}}\right)_{\omega =\omega _{0}},} where ω {\displaystyle \omega } and ω 0 {\displaystyle \omega _{0}} are angular frequencies, and the group velocity v g ( ω ) {\displaystyle v_{g}(\omega )} is defined as v g ( ω ) ≡ ∂ ω / ∂ k {\displaystyle v_{g}(\omega )\equiv \partial \omega /\partial k} .

Source: Wikipedia — Group-velocity dispersion (CC BY-SA 4.0)

Group-velocity dispersion

In optics, group-velocity dispersion (GVD) is a characteristic of a dispersive medium, used most often to determine how the medium affects 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 angular frequency, GVD ( ω 0 ) ≡ ∂ ∂ ω ( 1 v g ( ω ) ) ω = ω 0 , {\displaystyle {\text{GVD}}(\omega _{0})\equiv {\frac {\partial }{\partial \omega }}\left({\frac {1}{v_{g}(\omega )}}\right)_{\omega =\omega _{0}},} where ω {\displaystyle \omega } and ω 0 {\displaystyle \omega _{0}} are angular frequencies, and the group velocity v g ( ω ) {\displaystyle v_{g}(\omega )} is defined as v g ( ω ) ≡ ∂ ω / ∂ k {\displaystyle v_{g}(\omega )\equiv \partial \omega /\partial k} .

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Source: Wikipedia "Group-velocity dispersion" · CC BY-SA 4.0

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