Intensity of Light With a Given Power of Through a Polarizer

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SUMMARY

The discussion centers on calculating the power of a 200 mW horizontally polarized laser beam after passing through a polarizing filter oriented at 25 degrees from vertical. The correct approach involves applying Malus's Law, which states that the transmitted intensity is proportional to the cosine squared of the angle between the light's polarization direction and the filter's axis. The power of the laser beam after the filter can be calculated using the formula P = P0 * cos²(θ), where P0 is the initial power and θ is the angle of 25 degrees. The final power output is determined to be approximately 200 mW * cos²(25°).

PREREQUISITES
  • Understanding of Malus's Law in optics
  • Familiarity with the concept of polarized light
  • Basic knowledge of trigonometric functions
  • Ability to perform calculations involving power and intensity
NEXT STEPS
  • Study the derivation and applications of Malus's Law in various optical systems
  • Learn about the behavior of polarized light in different materials and filters
  • Explore the relationship between intensity, power, and area in electromagnetic waves
  • Investigate the effects of varying angles on light transmission through polarizers
USEFUL FOR

Students in physics, optical engineers, and anyone interested in understanding the principles of light polarization and its practical applications in optics.

cvangheem
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1. Homework Statement
A 200 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 25 degrees from vertical.

What is the power of the laser beam as it emerges from the filter?
P=mW

2. Homework Equations

I0cos2(theta)
I≈E0cos(theta)
I=E0cos2(theta)
I=P/A=(E02)/(cμ0)=(cε0E02)/2

3. The Attempt at a Solution
I have tried numerous ways and I still can't seem to get it
I'm almost positive you must use 65° instead of 25°, and I have ran out of ways for me to do this problem because I don't know how to get my Intensity because we don't know the Area, so I'm sort of stuck
.2= E(incident) cos (65)
E(incident)= .473 ---> wrong






Thanks!
 
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Power and intensity are proportional, so just use your first equation (Malus's law).
 

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