added ser prof

Author: eahussein

resources/links/.ipynb_checkpoints/sersic profile-checkpoint.md

@@ -0,0 +1,20 @@
+Reference:
+- http://www-star.st-and.ac.uk/~spd3/Teaching/AS3011/AS3011_5.pdf
+
+---
+#### What is the sersic profile used for:
+- It describes how surface brightness decreases relative to the radius.
+- The simplest form is when $n = 1$, where $n$ is the sersic index, where it changes depending on the structure.
+
+<p align="center" width="100%">
+    <img width="33%" src="Sershapes.png"> 
+</p>
+
+#### The Sersic profile equation $$I(r)=I_{0}\exp(-(\frac{r}{\alpha})^{1/n})$$ where:
+- $I(r)$ = intensity at radius r ~ (total light profile ?)
+- $I_0$ = central intensity
+- $\alpha$ = scale length (what ever that is)
+- n = Sersic index, where the index is based on the structure.
+<p align="center" width="100%">
+    <img width="33%" src="n.png"> 
+</p>