Need help solving nonhomogenous Sellmeier curve equations in Matlab?

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SUMMARY

The discussion focuses on solving nonhomogenous Sellmeier curve equations using Matlab. The specific equation format is n^2=A1+A2/(1-A3/lambda^2) + A4/(1-A5/lambda^2), where five experimental refractive index values are used to determine the parameters A1, A2, A3, A4, and A5. The recommended approach for solving this system is to utilize the multivariable Newton Raphson technique in conjunction with the SOLVE command in Matlab. The user successfully resolved the Sellmeier equation using these methods.

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  • Research the implementation of the SOLVE command in Matlab for solving equations.
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Researchers, optical engineers, and physicists who require precise modeling of refractive indices using experimental data and Matlab for computational analysis.

hrky
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I have five, very precise, experimental values of refractive index for five different wavelengths and would like to draw the Sellmeier fit of the form:

n^2=A1+A2/(1-A3/lambda^2) + A4/(1-A5/lambda^2)

So, to find A1, A2, A3, A4 and A5 parameters I need to solve the system of five equations. Those equations are nonhomogenous. I would like to use Matlab program to solve that, but I don’t know which function and which form to use…Anybody already solved this? Thanks!
 
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To solve numerically, you could use the multivariable Newton Raphson technique.

In Matlab, I'd guess you need the SOLVE command. Here's the online help documentation
 
Last edited:
thx!

Thanks! Sellmeier is now solved:cool:
 

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