You are supposed to write MATLAB codes that plots the focal fields of a linearly polarized focused beam. The codes should ask for the following parameters as input: Wavelength of incident beam, half$-$beam angle, and refraction index of the medium. If you make assumptions, you should make a note and explain it in your report and in your codes as comments.

You would be finding solutions for the following $5$ problems:

Using the imagesc command in MATLAB, plot $|E_x(r){|}^2,|E_y(r){|}^2,|E_z(r){|}^2,$ and $|E_t(r){|}^2$ for $3$ different lens systems with numerical apertures of $NA=0\mathrm{.}4,0\mathrm{.}65,$ and $0\mathrm{.}9$ on $x-$y plane $($i$.$e$.z=0).$

For $NA=0\mathrm{.}65,$ plot $|E_x(r){|}^2,|E_y(r){|}^2,|E_z(r){|}^2,$ and $|E_t(r){|}^2$ on $x-z$ and $y-z$ planes.

Generate $|E_t(r){|}^2$ versus x on $y=0$ and $z=0$ for $n=1,n=1\mathrm{.}5$ and $n=2$ on the same graph. $(=700nm,=\frac{}{3})$

Generate $|E_t(r){|}^2$ versus x on $y=0$ and $z=0$ for $=\frac{}{6},=\frac{}{4}$ and $=\frac{}{3}$ on the same graph.