Brewster angle & polarised light

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SUMMARY

The discussion centers on the Brewster angle and the polarization of light upon reflection and refraction. It is established that at the Brewster angle, the reflected ray is polarized in the plane of the incident beam, while the refracted ray is polarized in the plane normal to the incident beam. The Brewster angle is defined as the angle at which the incident angle of light equals the polarizing angle, resulting in complete plane polarization of the reflected light. Misunderstandings regarding the polarization states of the rays are clarified through visual aids and definitions.

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  • Understanding of Brewster's Law
  • Knowledge of light polarization concepts
  • Familiarity with reflection and refraction principles
  • Basic optics terminology
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  • Learn about the mathematical formulation of polarization states
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  • Investigate the behavior of light at different angles of incidence
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Homework Statement



A beam of polarised light is incident at Brester angle to a piece of glass. Which is true?

The ans is the refracted ray is polarized in the plane of incident beam , and the reflected ray is polarised in the plane normal to the plane of incident beam. Or
The reflected ray is polarized in the plane of incident beam , and the refracted ray is polarised in the plane normal to the plane of incident beam?
For me the above statement is correct… I need someone to verify my ans….

Homework Equations

The Attempt at a Solution

 
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Which answer above is true? Is any of them true?
How is the Brewster angle defined?
 
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brewster angle is defined as when the the incident angle of light is equal to polarising angle (brewster) , the reflected lught will be completely plane polarised.

my ans is The ans is the refracted ray is polarized in the plane of incident beam , and the reflected ray is polarised in the plane normal to the plane of incident beam.

is it correct?
 
desmond iking said:
brewster angle is defined as when the the incident angle of light is equal to polarising angle (brewster) , the reflected lught will be completely plane polarised.

my ans is The ans is the refracted ray is polarized in the plane of incident beam , and the reflected ray is polarised in the plane normal to the plane of incident beam.

is it correct?

No, it is wrong. See picture. It show the reflectance for both the parallel and perpendicular polarized light in terms of the angle of incidence. . It is zero at the Brewster angle for which polarization? So how can be the reflected light polarized at the Brewster angle?
The incident energy is partly reflected, partly transmitted (refracted) . What can you say about the polarization of the refracted light?
brewster.gif
 
The reflected ray is polarized in the plane of incident beam , and the refracted ray is polarised in the plane normal to the plane of incident beam...this is the correct ans?
 
desmond iking said:
The reflected ray is polarized in the plane of incident beam , and the refracted ray is polarised in the plane normal to the plane of incident beam...this is the correct ans?

NO. Look at the figure. r means reflection, what is at the Brewster angle in case of parallel polarization? r with the two small parallel lines means the reflectance at parallel polarization. Parallel and perpendicular are meant with respect to the plane of incidence, defined by the incoming ray and the normal of the interface.
 

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