Extinction and polarization

Theta. In summary, the Jones matrices for the horizontal polarizer, vertical analyzer, and half-wave plate can be used to determine the rotation angle of the polarizer, which can be calculated using the Fresnel equations.
  • #1
atomqwerty
94
0

Homework Statement



A half-wave plate is put between an horizontal polarizer and a vertical analyzer, so we have extinction.
If the anylizer is rotated clockwise an angle Theta, Which angle do we have to ratate the polarizer to keep the extinction of the light?

Homework Equations



The Jones matrix related are

Vertical analyzer
(0 0
0 1)

Horizontal polarizer
(1 0
0 1)

Half-wave plate
(1 0
0 -1)


The Attempt at a Solution



If we call the previous matrix A, B and C respectively, we can do A'·B·C=(0 0 0 0), where A' is the rotated A matrix, I mean, [tex]A' = R^{-1}AR[/tex] where R is the matrix of rotation,

R= (cos t sin t
-sin t cost)

(t= theta)



Thanks a lot!
 
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  • #2


what is extinction cooefficients? how it wil l be calculate? pls answer quickly
 
  • #3


am.bassha said:
what is extinction cooefficients? how it wil l be calculate? pls answer quickly

They're called the Fresnell equations, check this out: http://en.wikipedia.org/wiki/Fresnel_equations

Carlos
 

What is extinction?

Extinction refers to the complete disappearance of a species from the Earth. It occurs when there are no longer any individuals of a particular species alive.

What causes extinction?

There are many potential causes of extinction, including natural events such as climate change, natural disasters, and disease outbreaks. However, human activities, such as habitat destruction, overhunting, and pollution, are major contributing factors to extinction.

How does extinction impact the environment?

Extinction can have significant impacts on the environment, as it disrupts the delicate balance of ecosystems. When a species goes extinct, it can have a cascading effect on other species that depend on it for food or other resources. This can ultimately lead to a loss of biodiversity and destabilization of the ecosystem.

What is polarization?

Polarization refers to the increasing divide between different groups or individuals with opposing beliefs or ideologies. It often results in extreme and rigid views, making it difficult for constructive dialogue and compromise.

How does polarization affect society?

Polarization can have negative effects on society, such as increasing social and political divisions, reducing trust and cooperation, and hindering progress on important issues. It can also lead to conflict and violence, as individuals or groups become more entrenched in their beliefs and less willing to find common ground.

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