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The way a PBS cube works is that it only reflects light of a certain polarity. If your light is polarized perpendicular to that reflect-polarity it passes through the PBS without interaction.
In order to combine beams, one beam is in the pass-polarity, so it passes straight through. The other beam, polarized in the reflect-polarity direction, enters the cube from the side and reflects off the 45-degree polarity-reflective surface and out of the cube in the same direction as the pass-polarity beam, combining the two beams. Neither beam requires the other to interact/not interact with the cube.
In order to combine beams, one beam is in the pass-polarity, so it passes straight through. The other beam, polarized in the reflect-polarity direction, enters the cube from the side and reflects off the 45-degree polarity-reflective surface and out of the cube in the same direction as the pass-polarity beam, combining the two beams. Neither beam requires the other to interact/not interact with the cube.