(Solved): 6. A Tessar is a photographic lens design consisting of 4 individual lenses. A schematic of a Tess ...

6. A Tessar is a photographic lens design consisting of 4 individual lenses. A schematic of a Tessar is shown in the figure below. (a) Write the overall ray matrix as the product of the individual ray matrices. Use any programming language or software to evaluate the overall ray matrix of the Tessar. (b) What are the first and second foci of this Tessar? (c) Two important parameters that are used to characterize lens systems are the $\mathrm{f}$-number, $\mathrm{f}/\#$, and the numerical aperture, $NA$. Assuming the lens system has a diameter of $D=50\mathrm{mm}$, calculate both of these parameters using the following equations: $\begin{array}{c}f/\#=\frac{f}{D}\\ NA=\frac{1}{2(f/\#)}\end{array}$ Figure 3: Schematic for Q5. Use the following parameters for your calculations: $t_1=9.07\mathrm{mm},t_2=2.05\mathrm{mm},t_3=5.51\mathrm{mm},t_4=10.05$ $\mathrm{mm},d_1=4.90\mathrm{mm},d_2=6.50\mathrm{mm},R_1=41.35\mathrm{mm},R_2=?700.28,R_3=?87.81\mathrm{mm},R_4=40.18\mathrm{mm}$, $R_5=48.77\mathrm{mm},R_6=?60.96\mathrm{mm},n_1=1.6116,n_2=1.6053,n_3=1.5123,n_4=1.6116$. Assume that the refractive index of the surrounding medium (air) is $n=1.0$.