The two-dimensional Poincaré sphere can help you visualize the state of a polarizedwave. Any point on or in the sphere represents a state of polarization determined by thefour Stokes parameters, S0, S1, S2, and S3. On the Poincaré sphere, the angle from the S1-S2 plane to a point on the sphere is twice the ellipticity angle, ε. The angle from the S1-axis to the projection of the point into the S1-S2 plane is twice the tilt angle, τ.
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