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

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The discussion focuses on constructing elliptical polarization in Jones Matrix form and analyzing it with a linear polarizer. It clarifies that the Jones calculus describes the electric field, not intensity, and emphasizes the need to square the Jones vector to obtain intensity. For analyzing the effect of elliptically polarized light through a linear polarizer, one should multiply the Jones vector by the Jones matrix of the polarizer. If the goal is measurement rather than theoretical formulation, the Mueller calculus should be used instead. The user expresses confusion over the intensity results from their experiments, which do not align with expected outcomes.
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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