Photonic Devices - Bowing Parameters of Ternary Semiconductor Alloy

[kwilczak]

Homework Statement

Homework Equations

Shown in question.

The Attempt at a Solution

So I was given this question for homework and I'm really not sure where to start. I'm not looking for somebody to do my homework for me, just somebody to point me in the right direction. The professor never went over anything like this in class or described the formula for the curve fitting to us. I have searched through my book and the internet and can not find much useful information to get me started. Any help would be appreciated. Thanks in advance.

 

[LightHero]

This type of problem is known as curve fitting, and it involves finding an equation that best fits a set of data points. There are many different methods for curve fitting, but the most commonly used one is least squares regression. This method uses linear algebra to find the equation that minimizes the sum of the squared errors between the model and the data points. In this case, you need to find the equation that best fits the given data points (x1, y1), (x2, y2), ..., (xn, yn). You can do this by setting up a system of linear equations with unknown coefficients, then solving the system using matrix operations or other methods. Once you have calculated the coefficients, you can plug them into the equation of the form y = a + bx + cx2 + dx3 + ... to get the best fit curve.