Plotting the polarization ellipse

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To plot the polarization ellipse of a laser using intensity values from a polarimeter, one can take the square root of the intensity as a function of the rotational angle of a polarizing sheet. This data can then be plotted in a polar plot format. The discussion also highlights the use of a quarter wave plate to differentiate between right and left circular polarization, which can help determine the direction of the light's rotation. It is important to ensure that the intensity is plotted against the angle, not time. Understanding the relationship between intensity and amplitude is crucial for accurate plotting.
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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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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