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Sersic profile : ウィキペディア英語版
Sersic profile
The Sérsic profile (or Sérsic model or Sérsic's law) is a mathematical function that describes how the intensity I of a galaxy varies with distance R from its center. It is a generalization of de Vaucouleurs' law. José Luis Sersic first published his law in 1963.〔J. L. Sérsic (1963), ( Influence of the atmospheric and instrumental dispersion on the brightness distribution in a galaxy )〕
==Definition==

The Sérsic profile has the form
:
\ln\ I(R) = \ln\ I_ - k R^ ,

where I_ is the intensity at R=0.
The parameter n, called the "Sérsic index," controls the degree of curvature of the profile (see figure). The smaller the value of n, the less centrally concentrated the profile is
and the shallower (steeper) the logarithmic slope at small (large) radii is:
:
\frac = -(k/n)\ R^ .


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