Plotting the polarization ellipse

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Discussion Overview

The discussion revolves around the process of plotting the polarization state of a laser using data obtained from a polarimeter. Participants are exploring how to convert intensity values as a function of the rotational angle of a polarizing sheet into a polarization ellipse plot, as well as the role of a quarter wave plate in distinguishing between right and left circular polarization.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant seeks guidance on how to plot the polarization ellipse from intensity values related to the rotational angle of a polarizing sheet.
  • Another participant suggests understanding the relationship between intensity and amplitude to facilitate plotting.
  • A participant questions whether taking the square root of the intensity values allows for plotting against the rotational angle in a polar plot.
  • There is mention of using a quarter wave plate to differentiate between right and left circular polarization, with a participant expressing uncertainty about the necessary optics background.
  • Clarification is provided that the plotting should be done as a function of angle rather than time.
  • Participants discuss using the quarter wave plate to determine the direction of rotation of the electric field, indicating a focus on the polarization characteristics of the light.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the methods for plotting the polarization ellipse and the use of the quarter wave plate. There is no consensus on the best approach, and participants express varying levels of understanding and uncertainty.

Contextual Notes

Participants have not fully resolved the steps required to plot the polarization ellipse, and there are assumptions about the relationship between intensity and amplitude that remain unexamined. The discussion also highlights a lack of clarity regarding the optics background necessary for the project.

Who May Find This Useful

This discussion may be useful for individuals working on optics projects, particularly those involving polarization measurements and plotting techniques.

patmyer1
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Hello,
I am tasked with plotting the polarization state of a laser (basically I've made a polarimeter), but I really have no idea where to go at this point. Below is a sample of the program I have written with some real data that I just took from a laser. I have the intensity profile as a function of the rotational angle of a linear polarizing sheet that I am driving with a motor.

How do I go from the intensity values as a function of the rotational angle of the polarizer to the polarization ellipse plot?

Any help would be doing me a huge favor and would be greatly appreciated.
 

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  • Sample data.png
    Sample data.png
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Do you know the relation between intensity and amplitude? This way, you get the relation angle/amplitude, which can be plotted with your favorite plotting tool.
 
So if I simply take the square root of the intensity value as a function of time I can plot that against rotational angle in a polar plot?
 
I also have a quarter wave plate to distinguish between right and left circular polarization, but I am unclear on how to go about that also. This is a project for my work, and I am simply not up to speed on the requisite optics background to finish it is all. Thanks for any help!
 
patmyer1 said:
So if I simply take the square root of the intensity value as a function of time I can plot that against rotational angle in a polar plot?
As a function of angle not time, right.

With a quarter wave plate, you could check the direction of rotation of the field - find out if you have more clockwise or more ccw polarized light.
 

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