Polarization: ratio of transmitted to incident intensity

In summary, a beam of unpolarized light is incident on three polarizers with transmission axis angles of 110°, 230°, and 370° relative to vertical. The ratio of transmitted intensity to incident intensity can be calculated using Malus' law, which states that S/S0 = cos2θ. After passing through the first polarizer, the angle and intensity are 71° and 0.11, respectively. After passing through the second polarizer, the angle and intensity are 142° and 0.23, respectively. Finally, after passing through the third polarizer, the angle and intensity are 284° and 0.37, respectively.
  • #1
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Homework Statement



A beam of unpolarized light is incident on a series of three polarizers as shown. The angle of the transmission axis of each polarizer is indicated by the dashed line, with q1 = 110, q2 =230, and q3 = 370 (all defined relative to vertical). What is the ratio of the transmitted intensity to the incident intensity?


Homework Equations



Malus' law S=S0cos2θ

The Attempt at a Solution



S/S0=cos2θ

θ=11°+23°+37°=71°

S/S0=cos2(71)=0.11
 
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  • #2
After passing thru the first polarizer, what is the angle and intensity? Then, after passing thru the second polarizer, what is the angle and intensity? Finally, after passing thru the third polarizer, what is the angle and intensity?
 

Related to Polarization: ratio of transmitted to incident intensity

What is polarization?

Polarization is a physical phenomenon that describes the orientation of electromagnetic waves, such as light, in a specific direction. It is the result of the transverse nature of these waves, which vibrate perpendicular to the direction of propagation.

How is polarization measured?

Polarization is measured using the ratio of transmitted to incident intensity. This can be calculated using a device called a polarimeter, which consists of a polarizing filter and an analyzer. The intensity of light passing through these two elements is compared to determine the polarization state.

What is the significance of polarization in nature?

Polarization plays a crucial role in many natural processes, such as the reflection and scattering of light by water droplets, which gives rise to rainbows. It also allows certain animals, such as bees and birds, to navigate using the polarization patterns of the sky.

How is polarization used in technology?

Polarization is used in a variety of technologies, including LCD screens, 3D glasses, and polarized sunglasses. It is also used in telecommunications, where it helps to reduce interference and improve signal quality.

Can polarization be changed?

Yes, polarization can be changed by passing light through a polarizing filter or by reflecting it off a polarizing surface. It can also be manipulated using specialized materials, such as liquid crystals, which can change their polarization state when subjected to an electric field.

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