A monochromatic laser beam of intensity Io = 659 W/m2 is polarized in the y-direction and propagates in the positive z-direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of θ1 = 72 degrees with the positive x-axis.
1)
What is Imid, the intensity of the beam immediately following the polarizer whose transmission axis is aligned with the x-axis?
2)
What is Ifinal, the intensity of the beam immediately following the last polarizer?
3)
What is the ratio of Ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to Eo, the amplitude of theelectric field oscillations in the incident polarized beam?
4)
The positions of the quarter-waveplate and the last polarizer are now interchanged. What is Ifinal,new, the intensity of the beam after passing through the new arrangement of the two polarizers and the quarter-wave plate?
5)
What is the polarization of the beam immediately following the quarter-wave plate?
a). Right Circularly Polarized
b). Left Circularly Polarized
c). Linearly polarized at 45 degrees to the positive x-axis.
d). Linearly polarized at 135 degrees to the positive x-axis.
6)
Suppose you are free to rotate θ1, the transmission axis of the initial polarizer. How many values of θ1, 0 ≤ θ1 < 180o, will produce a final intensity of zero after the quarter-wave plate?
a). None
b). One
c). Two
please answer all 6 questions A monochromatic laser beam of intensity le=553 W/m2 is polarized in the y-direction and propagates in the positive z direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of 01 =...
A linearly polarized electromagnetic wave has an average intensity of 324 W/m2. This wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). Polarizer A is oriented with its transmission axis at an angle of θ1 = 40.0° with the incident electric field. Polarizer B has its axis at an angle of θ2 = 70.6° with the incident electric field, as shown in the figure. What is the average intensity of the...
For the polarizers in the figure, suppose the incident light is linearly polarized, the transmitted intensity (through both polarizers) is 0.15×I0, and the axis of the second polarizer makes an angle θ=50° with the axis of the first polarizer. What is the angle (in degrees) the initial direction of polarization makes with the first polarizer? (Insert the number of degrees without unit.)
Problem 3. (15 points in total) Quarter-wave retarder. The quarter-wave plate transforms light initially linearly polarized at an angle 45 (oscillating in the first and third quadrants) into right- circular light (rotating clockwise looking toward the source) when the fast axis of the waveplate is located vertically as shown in Figure 1 Prove that A(L)A(Qy)A(+45) where A is Jones matrix for L, Qy +45 which means left circular polarization, quarter-waveplate (fast axis on y-axis), +45 linear polarization. Fast axis wave...
I only need question #5 answered. I just posted the others in case they are helpful in getting the solution to #5. Polarizers An unpolarized beam of intensity lo 413 W/m2 travels in the positive z-direction and is incident from the left on a series of three linear polarizers as shown. The transmission axis of the first polarizer is aligned with the y-axis. The following polarizers make angles of 62 55 degrees, and 63 - 37 degrees with the positive...
GOAL Understand how polarizing materials affect light intensity. Unpolarized light is incident upon three polarizers. The first polarizer has a vertical transmission axis, the second has a transmission axis rotated 30.0 degree with respect to the first, and the third has a transmission axis rotated 75.0 degree relative to the first. If the initial light intensity of the beam is I_b, calculate the light intensity after the beam passes through the second polarizer and the third polarizer. After the beam...
The diagram below shows a beam of light shining through three linear polarizers in a row. The polarizing axis of each polarizer is measured at an angle (ϴ1,ϴ2,ϴ3) from vertical. Suppose that the original beam of light emanates from a vertically polarized laser. The laser has a power output of 1 mW and the beam has a diameter of 2 mm. What is the intensity of the laser beam before it travels through any polarizers? Calculate the final intensity of...
Using a quarter-wave plate and a polarizer, how would you distinguish randomly polarized light from circularly polarized light?
To understand polarization of light and how to use Malus's law to calculate the intensity of a beam of light after passing through one or more polarizing filters. The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized...