Question

A vertically polarized beam of light, having intensity 100 W/m^2 , is incident on a stack of identical linear polarizers that are arranged one behind the other so that the transmission axis of the first is vertical, the second at 45, the third at 90 with the vertical.1. Find the intensity of the emerging beam, which will be oscillating in a direction perpendicular to the incident one. 2. If we would like to rotate a polarized beam of light through an angle 90 , we can use a similar stack with N polarizers. What is the least number of polarizers needed to have the intensity of the emerging light higher than 85 W/m . 3. Can we rotate the polarized beam emerging from the first polarizer, through an angle 90 , by replacing the stack of linear polarizers with a half-wave plate (HWP)? What angle will its slow axis make with the vertical direction? Validate your response using Jones matrices.

Answer #1

A vertically polarized beam of light, having intensity 100 W/m ,
is incident on a stack of
identical linear polarizers that are arranged one behind the
other so that the transmission axis
∘∘ ofthefirstisvertical,thesecondat45,thethirdat90
withthevertical.(i)Findtheintensity
of the emerging beam, which will be oscillating in a direction
perpendicular to the incident one.
∘
(ii) If we would like to rotate a polarized beam of light through
an angle 90 , we can use a
similar stack with N polarizers. What is...

A beam of polarized light with an average intensity of 14.5 W/m²
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in T.

Unpolarized light with an intensity of 605 W / m2 is
incident on a polarizer with an unknown axis. The light then passes
through a second polarizer with has an axis which makes an angle of
72.5° with the vertical. After the light passes through the second
polarizer, its intensity has dropped to 132 W / m2. What
is the angle between the axes of the polarizers in degrees? What
angle from the vertical is the first polarizer's axis? (Assume...

Unpolarized light with an intensity of 680 W / m2 is
incident on a polarizer with an unknown axis. The light then passes
through a second polarizer with has an axis which makes an angle of
79.5° with the vertical. After the light passes through the second
polarizer, its intensity has dropped to 196 W / m2.
1) What is the angle between the axes of the polarizers in
degrees?
2) What angle from the vertical is the first polarizer's...

For the polarizers in the figure below, suppose the incident
light is linearly polarized, the transmitted intensity (through
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makes an angle ? = 54° with the axis of the first polarizer. What
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Unpolarized light with an intensity of 510 W / m2 is
incident on a polarizer with an unknown axis. The light then passes
through a second polarizer with has an axis which makes an angle of
83.0° with the vertical. After the light passes through the second
polarizer, its intensity has dropped to 164 W / m2. What
is the angle between the axes of the polarizers? (Please provide an
explanation along with use of equations. Thank you.)

1. Answer these following questions on polarizers and light.
a. A polarized light is incident on several polarizing disks
whose planes are parallel and centered on common axis. Suppose that
the transmission axis of the first polarizer is rotated 24°
relative to the axis of polarization of the incident light, and
that the transmission axis of each additional analyzer is rotated
24° relative to the transmission axis of the previous one. What is
the minimum number of polarizer needed (whole...

An unpolarized light beam of 800 W/m2 is incident on an ideal
pair of crossed linear polarizers. Crossed polarizers indicate that
the transmission axes of the polarizers are at 900 to one another.
Now, a third polarizer is inserted between the other two with its
transmission axis at 450 to that of each of the others. Determine
the emerging intensity
a) before and
b) after the insertion of the third polarizer c) explain the
results of parts a) and b).

Find the final transmitted intensity (as a percentage of the
incident intensity) for unpolarized light passing through two
polarizers 90° apart. Do it again for three polarizers
45° apart from each other. For 9 polarizers all 10° apart. I want
to rotate an incident light beam by 90°. I'll do it by
using 181 polarizers in a chain, all separated by 1/2°.
Repeat the calculation for initially unpolarized light and tell me
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A beam of polarized light with an average intensity of 17.0 W/m²
is sent through a polarizer. The transmission axis makes an angle
of 27.0° with respect to the direction of polarization. Determine
the rms value of the magnetic field of the transmitted beam.
I = I0 cos^2(theta)
I = 17*cos(27)^2=13.50
I = c n e0 Erms^2
Erms = sqrt(13.50/(3E8*8.85E-12))=71.31 was wrong

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