Help with polarization problem

In summary, the problem being discussed is how to determine the ratio of intensity after two polarizers and a stack of 10 half-wave plates, each rotated at an angle of pi/20 rad from the previous one. The question is also posed about the effect of a half-wave plate at a certain angle with respect to the axes of the polarizer and half-wave plate.
  • #1
benoy
3
0
One problem in my homework assignment that I am having trouble with is:

Take two ideal polarizers (the first with its axis vertical and the second, horizontal) and insert between them a stack of 10 half-wave plates, the first with its fast axis rotated pi/20 rad. from the vertical, and each subsequent one rotated pi/20 rad. from the previous one. Determine the ratio of intensity after the second polarizer to that after the first polarizer.

Does anyone know how to solve this problem?
 
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  • #2
What is the effect of a half-wave plate, at some angle, where the angle is with respect to the axes of the polarizer and half-wave plate?
 
  • #3


I would suggest breaking down the problem into smaller steps and using mathematical equations to solve it. First, we can calculate the transmission coefficients for each of the half-wave plates using the equation T = cos^2(theta), where theta is the angle of rotation. Then, we can use the Malus' law, I = I0 * cos^2(theta), to determine the intensity after each half-wave plate. Finally, we can use the equation I2/I1 = (T2 * T1)^2 to calculate the ratio of intensity after the second polarizer to that after the first polarizer.

Additionally, it may be helpful to draw a diagram to visualize the setup and track the direction of polarization as it passes through each element. Don't forget to also consider the initial intensity (I0) before the first polarizer.

If you are still having trouble, I recommend seeking assistance from your instructor or a classmate who may have a better understanding of the concepts involved in this problem. It's also important to review any relevant equations and concepts from your class materials to better understand the problem and its solution. Good luck!
 

1. What is polarization?

Polarization refers to the phenomenon of light waves vibrating in a specific direction. In simple terms, it describes the direction of the electric field within a light wave.

2. Why is polarization important?

Polarization plays a crucial role in various scientific and technological applications. It helps in understanding the behavior of light and its interactions with matter, as well as in the design of devices such as polarizers and liquid crystal displays.

3. What causes polarization?

The polarization of light can be caused by various factors such as reflection, refraction, scattering, and birefringence. It can also be influenced by the orientation and alignment of the electric field of the light source.

4. What is a polarization problem?

A polarization problem occurs when the polarization of light is altered or disrupted in a way that affects its intended use or application. This can happen due to external factors such as obstructions or incorrect alignment of optical components.

5. How can polarization problems be solved?

Polarization problems can be solved by identifying the cause of the issue and taking appropriate corrective measures. This can involve adjusting the orientation of optical elements, using polarizers or filters, or addressing any external factors that may be causing the problem.

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