How can i change the subject of the reflection coefficient formula to refractive index and use matlab to plot from reflection coefficient data?

Hi All,

I guess this is two questions really:

How can i change the subject of the formula Gamma = ((n1-n2)^2)/((n1+n2)^2) for n2?

And

How can i use matlab to plot n2 if i have column vector data for Gamma and n1?

Many thanks in advance!

[KALYAN ACHARJYA]

What is Gamma, n2, n1? Any typical example?

[Jamie Blanche]

Hi! Gamma is the reflection coefficient for a wave reflecting off a transmission boundary. n1 is the refractive index of the air and n2 is the refractive index of the medium. I'm looking to infer the refractive index of the material by using the measured reflection coefficient and the known value of n1 for air (being 1). I'd like to rearrange the Gamma equation stated above for n2 and then plot n2, i already have a column vector for Gamma :)

[Bruno Luong]

With little effort it becomes a second degree equation in n2, you know " b^2-4*a*c ..." see in high school, or they don't teach it anymore?