Polarization of light using Mueller matrix

  • #1
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Hi everyone
First of all, I am a computer science student and I have a question regarding the polarization of light as stated in an article entitled "Multi-stage quantum secure communication using polarization hopping" by Rifai et al.,2015.
Given the Mueller matrix:
upload_2018-7-17_23-6-47.png

The input of light state is:
upload_2018-7-17_23-8-46.png

And lastly, the operation to produce the output of light after it go through a half wave plate:
upload_2018-7-17_23-10-37.png

After I do the calculation, the S_out for the θx=0° is [1 1 0 0] meaning that the light is horizontally polarized. However, when the θx=45°, I didn't get the vertical light polarization [1 -1 0 0] as stated in wikipedia:
upload_2018-7-17_23-27-30.png

This is the result of my calculation using Python programming language:
upload_2018-7-17_23-24-43.png

It seems that my vertical polarization of light is wrong. I hope that anyone may help me to clarify this problem.
Thank you so much & regards.
 

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  • #2
Andy Resnick
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Hi everyone
First of all, I am a computer science student and I have a question regarding the polarization of light as stated in an article entitled "Multi-stage quantum secure communication using polarization hopping" by Rifai et al.,2015.
I did a quick read of the paper, and I'm a little confused by the parameter 'θx'. How does θx relate to θA and/or θB (referring to Figure 3)?
 
  • #3
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I did a quick read of the paper, and I'm a little confused by the parameter 'θx'. How does θx relate to θA and/or θB (referring to Figure 3)?
θA is the rotational of half wave plate at Alice side while θB is rotational at Bob and they are unitary transformation.
 
  • #4
Andy Resnick
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θA is the rotational of half wave plate at Alice side while θB is rotational at Bob and they are unitary transformation.
Ok, I read through the paper more carefully and was able to reproduce most of their equations. I did indeed get vertical polarization for θx=45°. I'm not sure why your Python script returned a different result. Try it by hand, leaving θx as a free parameter, then after you calculate Sout, put in different values for θx.
 
  • #5
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Ok, I read through the paper more carefully and was able to reproduce most of their equations. I did indeed get vertical polarization for θx=45°. I'm not sure why your Python script returned a different result. Try it by hand, leaving θx as a free parameter, then after you calculate Sout, put in different values for θx.
Finally I got the true result. Something mistakes happened in my Python codes. Anyway, thank you for your explanation.
 

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