$14.$ Consider a fiber $($a $=30$ pm$,$ A $=1\mathrm{.}5\%,$ g $=1\mathrm{.}95,$ and nl $=1\mathrm{.}45)$ excited by a surface emitting LED $($Bo $=2\mathrm{.}0$ x lo$2$ ~$.$cm$-$~$.$sr$-\text{'}$ and radius of $50$ pm$).$ Calculate $...($a$)...$ the power emitted by the source, $($b$)...$the power coupled into the fiber, and $($c$)...$ the coupling losses $($