$5-1)$ Saleh & Teich, Exercise $6\mathrm{.}1-3($p$.220$ in $3$e$,$ p$.208$ in $2$e$)$

Jones Matrix of a Polarizer. Show that the Jones matrix of a linear polarizer with a transmission

axis making an angle $$ with the $x$ axis is

$T=\left[\begin{array}{cc}co{s}^2& sincos\\ sincos& si{n}^2\end{array}\right]$

Linear Polarizer

at Angle $$

Derive $(6\mathrm{.}1-25)$ using $(6\mathrm{.}1-18),(6\mathrm{.}1-22),$ and $(6\mathrm{.}1-24)..$ Calculate the delay x bandwidth product for the following links. Use one$-$way delay,

measured from first bit sent to first bit received.

$($a$)100-$Mbps Ethernet with a delay of $101$ s$.$

$($c$)1\mathrm{.}5-$Mbps T$1$ link, with a transcontinental one$-$way delay of $50$ ms $.$

$($d$)1\mathrm{.}5-MbpT1$ link between two groundstations communicating via a satellite in

geosynchronous orbit, $35,900km$ high. The only delay is speed$-$of$-$light propagation delay

from Earth to the satellite and back.Calculate the total time required to transfer a $1000-KB$ file in the

following cases, assuming an RTT of $50$ ms $,$ a packet size of $1$ KB

data, and an initial $2$ RTT of "handshaking" before data is sent:

$($a$)$ The bandwidth is $1\mathrm{.}5$ Mbps $,$ and data packets can be sent

continuously.

$($b$)$ The bandwidth is $1\mathrm{.}5$ Mbps $,$ but after we finish sending each

data packet we must wait one RTT before sending the next.