Consider a fiber $($a $=30$ m$,$ ~ $=1\mathrm{.}5\%,$ g $=1\mathrm{.}95,$ and n$1=1\mathrm{.}45)$ excited by a surface emitting

LED $($Bo$=2\mathrm{.}0$ x $102$ W$$cm$-2-$sr$-1$ and radius of $50$ m$).$ Calculate $...$

$($a$)...$ the power emitted by the source,

$($b$)...$ the power coupled into the fiber, and

$($c$)...$ the coupling losses $($in dB$).$