Determining the Handedness of Circular Polarized Waves

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Homework Help Overview

The discussion revolves around determining the handedness of circularly polarized waves as they pass through a quarter-wave plate. The original poster describes a scenario involving a polarized wave propagating in the z-axis with specific orientations of the fast and slow axes.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to visualize the handedness of the wave and considers the right-hand rule for determining handedness. Some participants explore the implications of the fast and slow axes on the polarization state, questioning whether the orientation affects the handedness.

Discussion Status

There is an ongoing exploration of the concepts involved, with participants sharing their thoughts and visualizations. Some guidance is offered regarding the application of the right-hand rule, but no consensus has been reached on the correct interpretation of the handedness.

Contextual Notes

Participants are discussing the effects of the quarter-wave plate on the polarization state, with specific attention to the orientations of the fast and slow axes. There is an acknowledgment of the complexity in visualizing the wave's behavior post-interaction with the plate.

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Homework Statement


A polarized wave in the y axis, propagates in the z axis and is incident to a quarter-wave plate. Viewing the down from -z to z, the fast axis is 45deg below the x-axis.

Determine the polarization of the beam immediately following the quart-wave plate.


Homework Equations


Conceptual Question, I am not using equations..


The Attempt at a Solution


The wave must be circular but I cannot visualize how to determine whether it is left handed or right handed. I realize that if you curl your fingers in the direction that it rotates, the hand with the thumb pointing in the direction of propagation is the handedness but I can't visualize how the wave curls coming out.
 
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Haven't seen any replies yet so I am curious if there are any issues with this post.
 
Last edited:
Well, I thought about it as I drifted off to sleep last night and I was thinking that crossing from from the slow axis (which must be orthogonal in this case) to the fast axis with the left hand allows for the thumb to be pointed in the direction of propagation. By doing this, I get a left handed curl. Is this correct? So in this case, it doesn't matter where the wave is polarized, as long as it has a non-zero component for the fast axis and a non-zero component for the slow axis, right??

Here is the image I drew for what I am doing.
 

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I believe if you were to apply the image above to the problem I posted, the fast and slow axis must be switched giving a right handed circle, I think.
 

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