How to obtain the Sellmeier equation based on a new material?

[david_huang]

Homework Statement

I have synthesize a material used in optical transmission. I want to know its transmission constant beta and its higher derivative. So the first step is to use the Sellmeier equation to describe its refractive indices. And I have already tested a series of refractive indices value at different wavelengths. How to get ist Sellmeier equation ?

Relevant Equations

$$n=\sqrt{1+\frac{B_1}{\lambda^2-C_1}+\frac{B_2}{\lambda^2-C_2}+\frac{B_3}{\lambda^2-C_3}}$$

I have synthesize a material used in optical trasmission. I want to know its transmission constant beta and its higher derivative. so the first step is to use sellmeier equation to describe its refractive indices. and i have already test a series of refractive indices value in different wavelengh. how to get ist sellmeier equation ?

 

[Charles Link]

First, I would check the form off the equation as you wrote it above. See https://en.wikipedia.org/wiki/Sellmeier_equation

 

[david_huang]

actually i cannot find the link you provide.

 

[Charles Link]

It comes up on my computer.

 

[david_huang]

maybe this link is forbidden in my place, anyway, thank you very much.

 

[kuruman]

The equation in the link says
$$n^2(\lambda)=1+\frac{B_1\lambda^2}{\lambda^2-C_1}+\frac{B_2\lambda^2}{\lambda^2-C_2}+\frac{B_3\lambda^2}{\lambda^2-C_3}$$