When I analyze elliptical polarization using a linear polarizer....

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SUMMARY

This discussion focuses on the analysis of elliptical polarization using Jones's Matrix form and linear polarizers. The Jones calculus is emphasized as a method for describing electric fields, while intensity calculations require squaring the Jones vector. For accurate measurements, the Mueller calculus and Stokes vector are recommended instead of Jones calculus. The user seeks to construct arbitrary elliptical polarization in matrix form, specifically [1, 1+.021354i], and is confused about the intensity outcomes when passing through a linear polarizer.

PREREQUISITES
  • Understanding of Jones calculus for polarization analysis
  • Familiarity with Mueller calculus and Stokes vectors for measurement
  • Knowledge of elliptical polarization parameters
  • Basic concepts of linear polarizers and their effects on light
NEXT STEPS
  • Study the construction of Jones vectors for elliptical polarization states
  • Learn how to compute intensity from Jones vectors by squaring them
  • Research the application of Mueller calculus in polarization measurements
  • Explore the parameters needed to define an ellipse in polarization contexts
USEFUL FOR

Researchers, physicists, and optical engineers involved in polarization analysis, particularly those working with elliptical polarization and its representation in matrix form.

Pattarasak
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hello everyone,I want to construct the elliptical polarization in Jones's Matrix form . So, I use the linear polarizer to analyze this polarization. where the Intensity ,which obtain by using the linear polarizer,come from? by integrating overall angle or the other way ?
 
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Pattarasak said:
hello everyone,I want to construct the elliptical polarization in Jones's Matrix form . So, I use the linear polarizer to analyze this polarization. where the Intensity ,which obtain by using the linear polarizer,come from? by integrating overall angle or the other way ?

Not really sure what you are trying to do- a measurement or just write down some formulas- but you are already headed for trouble. The Jones calculus is a description of the electric field, not the intensity. If you want the intensity, you have to 'square' the Jones vector.

The Jones vector for an elliptical polarization state is easily constructed, for either linear or circular basis states, once you specify the four parameters needed to define the ellipse. Then, if you want to compute what happens when elliptically polarized light is transmitted through a linear polarizer (or any other polarization optical element), you simply multiply the Jones vector and Jones matrix for the element.

On the other hand, if this is a measurement, you shouldn't be using the Jones calculus since you can't measure the field. In this case, you should be using the Mueller calculus/Stokes vector to model the process.
 
Andy Resnick said:
The Jones vector for an elliptical polarization state is easily constructed, for either linear or circular basis states, once you specify the four parameters needed to define the ellipse. Then, if you want to compute what happens when elliptically polarized light is transmitted through a linear polarizer (or any other polarization optical element), you simply multiply the Jones vector and Jones matrix for the element.
thank for yours answer.But the actually thing that i want to do is experiment to construct the arbitrary elliptical polarization in matrix form e.g. : [1 , 1+.021354i ]. So, i want to know the phase of this polarization (exp[i theta]) then i use the linear polarizer to analyze this polarization. However the result from this experiment is very weird (Because i can't plot the ellipse by using this data). So, i just confuse in the Intensity ,which is the outcome when the elliptical polarization pass through a linear analyzer.
 

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