Poincare sphere and Degree of polarization

AI Thread Summary
The Poincaré sphere is a geometric representation of the state of polarization of electromagnetic fields, described by the four-component Stokes vector. Points on the surface of the sphere correspond to fully polarized light, while points inside represent partially polarized light, indicated by the Stokes parameter S_0. The transition from the Stokes formulation to the Jones formulation can be complex, as Stokes and Mueller formulations account for statistical properties, while Jones matrices apply only to completely polarized light. For further details, additional resources such as Wikipedia can provide more in-depth explanations. Understanding these concepts is essential for studying polarization in electromagnetic fields.
Madara
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Hi,

Can someone explain the concept of "Poincare sphere"? What's the relationship between the Poincare Sphere and the Degree of polarization of EM fields?

Thanks
Madara
 
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The Poicare sphere is a way of describing the 4-component Stokes vector:

http://en.wikipedia.org/wiki/Polarization (about 1/2-way down)

The state of polarization is represented by a point on the sphere. Note: for fully polarized light, S_0 = 1 and the point lies on the surface of the sphere; partially polarized light has S_0<1 and so the point lies within the sphere.

Going from the Stokes formulation to the Jones formulation can be a little tricky:

http://en.wikipedia.org/wiki/Stokes_vector

Since the Stokes/Mueller forumlation is inherently statistical in nature, while the Jones matrices only hold for completely polarized light.

Does that help?
 
Thanks Andy. I will refer the wikipedia for more info.
 
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