Polarization on an interface at Brewster's angle

Your Name]In summary, for the case in which a circularly-polarized field is incident on an interface at Brewster's angle, the polarization of both the transmitted and reflected waves would be linear. This is due to the perpendicular nature of the reflected and transmitted rays at Brewster's angle.
  • #1
jun9008
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Homework Statement



Characterize the polarization (i.e., linear, circular, or elliptical) of the transmitted and reflected waves for the case in which a circularly-polarized field is incident on an interface at Brewster's angle

Homework Equations



N/A

The Attempt at a Solution



I thought that since he transmitted and reflected waves would be going in the perpendicular direction of each other, and as taken frame by frame, in a circularly-polarized field, the waves reflecting and transmitting through them would make a linear shape.

thanks for all your help
 
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  • #2

Thank you for your question. In this scenario, the polarization of both the transmitted and reflected waves would be linear. This is because Brewster's angle is the angle at which the reflected and transmitted rays are perpendicular to each other. Therefore, the polarization of the incident wave would be maintained in both the reflected and transmitted waves.

I hope this helps clarify your understanding. Let me know if you have any further questions.
 
  • #3


I would like to clarify that the polarization of the transmitted and reflected waves in this scenario would not be linear, but rather elliptical. This is because at Brewster's angle, the reflected and transmitted waves are polarized perpendicular to each other, resulting in an elliptical polarization. This is due to the fact that at Brewster's angle, the incident wave is polarized at an angle of 45 degrees to the plane of incidence, resulting in a circularly-polarized field. When this circularly-polarized field is reflected and transmitted, the polarization of the waves will be elliptical. This can be observed by analyzing the electric field vectors of the reflected and transmitted waves. So, in summary, the polarization of the transmitted and reflected waves in this scenario would be elliptical, not linear.
 

1. What is Brewster's angle?

Brewster's angle is the angle at which unpolarized light is completely polarized when it reflects off a medium with a higher refractive index. It is named after the Scottish physicist Sir David Brewster who first described it in 1815.

2. How is polarization affected at Brewster's angle?

At Brewster's angle, the reflected light is completely polarized, meaning that it oscillates in only one direction. This is because the reflected light is perpendicular to the refracted light, resulting in a polarized wave.

3. What is the significance of Brewster's angle?

Brewster's angle is important in optics as it allows for the manipulation of light to achieve polarization. It is also used in polarizing lenses, such as those found in sunglasses, to reduce glare and improve visibility.

4. How is Brewster's angle calculated?

Brewster's angle can be calculated using the formula θB = arctan(n2/n1), where θB is the Brewster's angle, n1 is the refractive index of the incident medium, and n2 is the refractive index of the medium the light is entering.

5. Can Brewster's angle be observed in other types of waves?

Yes, Brewster's angle can also be observed in other types of waves, such as sound waves. In this case, it is known as the Brewster angle of sound and is the angle at which a sound wave is completely polarized when it is transmitted through a solid medium.

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