Please calculate and plot the $V-b$ diagram $($for $a=0,0\mathrm{.}125,1,10,)$ for TE modes and the $V-$

$b$ diagram for TM modes $($for $a=0,\frac{n_1}{n_3}=1\mathrm{.}001,1\mathrm{.}5,2\mathrm{.}33,3\mathrm{.}5)$ in a slab waveguide, using any

mathematic tool and$/$or your own computer program.