盧羿彣
0932653
光學作業
Problem14-20
a. Identify the state of polarization corresponding to the Jones vector
2
3
i
3
and write it in the standard ,normalized form of Table 14-1.
b. Let this light be transmitted through as element that rotates linearly polarized light
by +30o.Find the new, normalized form and describe the result.
Sol)
a.
Y
ExpToTrig 3 Exp I
3
3
2
3
2
3
2
1
2
ArcTan
3
MatrixForm[{A,B+CI}]
A
B
CI
m2={{2,Y}}
2,
3
3
3
2
2
MatrixForm[{m2}]
2
3
2
3
3
2
a=2
3
b
2
2
3
2 a b Cos
a2
b2
2
3
3
2
2
3
6
5
1
2
1
2
a2
5
6
ArcTan
c
6
ArcTan
5
b2
13
1
MatrixForm
3
3
2
2
m2
c
3
2
13
13
b.
m3={{ Cos[30 ],Sin [30 ]},{-Sin [30 ],Cos[ 30 ]}}
3
2
,
m4
1
2
2
3
2 ,
3
3
,
I
2
3
2 ,
1
,
2
3
3
2
3
2
2
MatrixForm[m3.m4]
1
2
3
1
1
2
3
3
2
3
3
2
3
2
3
3
2