Optical Bit Error Rate

Chapter 2.9.2 - The Poincaré Sphere

2.9.2   The Poincaré Sphere

The interaction of light with matter affects the state (or states) of polarization (SoP).
In general, a SoP with azimuth α and ellipticity ε is expressed by

 

Under certain circumstances, the SoP of a wave changes (rotates) as it travels
through a medium; such change is associated with delay. When the rotation is 90°,
it results in two orthogonal SoPs (one before and one after the rotation). Two mutually
orthogonal SoPs, both at equal intensity, result in a depolarized field.

Described in terms of the Stokes parameters, the unpolarized part
in the Poincaré sphere is left out and only the polarized part is considered. The three
Stokes parameters on terms of the azimuth χ and ellipticity ψ are expressed by

 

The Poincaré sphere is a graphical representation of all possible SoPs; each point on
the sphere’s surface is a SoP defined by S (Figure 2.7).

 Figure 2.7. Poincaré sphere.

 

 

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