Understanding Polarization of Linearly Polarized Light: Explained by Experts

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Homework Help Overview

The discussion revolves around understanding the polarization of linearly polarized light, specifically represented by the equation E=|E|cos(kx-wt)(ì+j). Participants are exploring the implications of the unit vectors i and j in relation to the direction of polarization and wave propagation.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to identify the direction of polarization based on the provided electric field equation. Questions are raised about the relationship between the unit vectors and the propagation direction of the wave, as well as the angle of polarization in the x-y plane.

Discussion Status

The discussion is ongoing, with participants offering hints and prompting each other to think critically about the relationship between the electric field, magnetic field, and wave propagation. Some guidance has been provided, but there is no explicit consensus on the interpretation of the polarization direction.

Contextual Notes

Participants are navigating the constraints of homework guidelines, with reminders to avoid providing direct solutions. There is an emphasis on fostering understanding through questioning and exploration of concepts.

vs5813
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Homework Statement


QUESTION: Consider linearly polarized light of the form:

E=|E|cos(kx-wt)(ì+j)

where i and j are the standard unit vectors. What is direction of polarization of this lightwave?

Homework Equations



The Attempt at a Solution



this is the first time i tackle a problem like this:bugeye: and I'm not sure where to start..i can see the wave is traveling in the positive x-direction, and I'm guessing the i and j indicate polarization...but I am not sure how :confused:
any explanations would be grrrreatly appreciated..thankyou!
 
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I think the unit vectors are orthogonal to the x axis, and the light is propagating down the x-axis, correct?

So the sum i + j is a (non-unit) vector pointing in what direction?
 
Hello.

The direction of polarization is given by the direction of the electric field. So, I guess your wave is polarized with an angle << answer deleted by berkeman >> in the (x,y)-plane measure from the x axis.
 
Last edited by a moderator:
Dox said:
Hello.

The direction of polarization is given by the direction of the electric field. So, I guess your wave is polarized with an angle << answer deleted by berkeman >> in the (x,y)-plane measure from the x axis.

Hi Dox,

Please do not post solutions to homework and coursework questions. That is specifically agains the PF guidelines. We appreciate your help very much in the Homework Help forums, but please focus on tutorial help, not providing the answers. Ask questions of the original poster (OP) to help them figure out the problem on their own.

Can you think of a good question to ask the OP to prod them along? I gave some hints in my post as well.
 
Oh! I'm so sorry. It won't happen again.
 
ooh

oh, i see..so in this case I could say it is traveling in the x direction, polarized to 45 degrees in the x-y plane :cool:
thankyou for the help!
 
vs5813 said:
oh, i see..so in this case I could say it is traveling in the x direction, polarized to 45 degrees in the x-y plane :cool:
thankyou for the help!

Hello again.

Please, be care... What is traveling in the x direction? The electromgnetic wave?

Cheers.
 
hmm..i would say..the direction of motion (propagation) of the light wave is the x-direction, while its polarization is at an angle..would that be correct? :rolleyes:
 
Not quiet... Think a little mor about it.

Try to imagine both the electric and the magnetic fields and the propagation of motion.(Hint: Pointing vector)
 

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