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Cauchy's transmission equation

A1  ?? With refractometry.py find the value of $n$ for each wavelength $\lambda$ in the table.

Using the program, we can find the following pairs of $n$.

$\lambda,~\text{nm}$$\Phi=60^\circ$$\Phi=50^\circ$
$n_1$$n_2$$n_1$$n_2$
3781.47322.07711.01291.4726
4061.46982.08331.01441.4691
4341.46712.08801.01531.4667
4661.46462.09261.01621.4645
4991.46242.09661.01711.4624
5351.46062.09991.01791.4605
5731.45902.10291.01861.4589
6141.45782.10511.01911.4577
6581.45662.10731.01971.4561
7061.45492.11041.02021.4551
7561.45372.11271.02061.4541
8101.45262.11491.02101.4532

As you can see the $n_1$ for $\Phi=60^\circ$ is approximately equal to the $n_2$ for $\Phi=50^\circ$. Let's use their average as the answer.

Answer:

A2  ?? Plot a linear graph $n(\lambda)$ and find the values of $A$ and $B$ for fused glass.

Let's plot $n$ vs. $1/\lambda^2$, so that $A$ is an intercept and $B$ is a slope.

Answer: \[A = 1.4479 \quad B = 3594\]