Light beams from two sources are directed at a polarizer. One of the sources con

Question

Light beams from two sources are directed at a polarizer. One of the sources consists of unpolarized light, while the other consists of polarized light. The polarizer's axis is tilted 37degree relative to the polarization direction of the polarized beam. Both the polarized and unpolarized beam have an intensity of 12 watts/meter^2. a.] Sketch the description clearly. b.] Calculate the aggregate amplitude just past the polarizer, c.] At what angle, relative to the first polarizer's axis, should a second polarizer be oriented in order that amplitude exiting it is just 10% of what entered. d.] Repeat part 'c' for exiting intensity dropping to 10%.

Explanation / Answer

b) I = A^2

for unpolarized light,

I = I0/2

A = A0 / sqrt(2) = 0.770 A0

for polarized,

I = (I0 cos(37))^2 = 0.638 I0

A = sqrt(0.638) A0 = 0.800 A0

c) for unpolarized,

0.10 A0 = 0.770A0 cos@

@ = 82.5 deg

for polarized,

0.10A0 = 0.8A0 cos@

@ = 82.8 deg

d) 0.10I0 = I0 (cos@)^2 / 2

cos@ = 0.447

@ = 63.4 deg

for polarzed,

0.10I0 = I0 (cos@)^2 (cos37)^2

@ = 66.7 deg

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.