Now that we have learned about Jones calculus, we need to find an input light Jones vector for our desired output Jones vector. Let’s solve this problem step by step.

Task 1

We know the following information about the system:

There are a total of 6 components placed in the order of their subscripts: $C_1$, $C_2$, $C_3$, $C_4$ $C_5$, $C_6$.

$C_1=\begin{bmatrix}1 & -1 \\1 & 0 \end{bmatrix}$ $C_2=\begin{bmatrix}1 & 1 \\1 & 0 \end{bmatrix}$ $C_3=\begin{bmatrix}1 & -1 \\1 & 1 \end{bmatrix}$

$C_4=\begin{bmatrix}1 & 0 \\0 & 1\end{bmatrix}$ $C_5=\begin{bmatrix}0 & 1 \\1 & 1 \end{bmatrix}$ $C_6=\begin{bmatrix}1 & 0 \\0 & 1 \end{bmatrix}$

Problem statement

Find the System Matrix of the optical components given above.

Use all the suitable packages that you have learned throughout the course.