Polarization Beamsplitter Cubes

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When a linearly polarized laser beam passes through a polarization beamsplitter (PBS) oriented parallel to its polarization, it reflects completely. For an elliptically polarized beam with its long axis parallel to the PBS coating, the reflected beam results from the projection of the ellipse onto the axis of the PBS. This projection can be understood as a linear combination of vertical and horizontal components, with each component reflecting in different directions. The vertical component reflects one way, while the horizontal component reflects another, leading to a complex output. Understanding this behavior is crucial for applications involving polarization optics.
Niles
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Hi

Say I have a laser beam, which is linearly polarized. Now I let it pass through a polarization beamsplitter cube (PBS). If I orient the PBS such that the polarization of light is "parallel" to the coating/cement (nicely illustrated here: http://www.thorlabs.com/images/TabImages/BS_PolarizedCube2.gif), I get 100% reflection (the red beam).

Say my beam is elliptically polarized instead with the long axis parallel to the cement. Is it correct that the reflected beam is merely the projection of the ellipse onto the axis parallel to the cement?

Help is greatly appreciated. I have thought about this for some time, and I can't figure it out. Hecht's "Optics" doesn't explain it either.

Best wishes,
Niles.
 
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Yes.
You may treat elliptically polarized beam as a linear combination of vertical and horizontal waves, shifted in phase by 90^\circ. The vertical part will be reflected in one direction, the horizontal one in another in your cube.
 
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