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Beam Splitter (BS)
Suppose a photon travels through an interferometer with 2L = 83 nm. In arm 1, we place a horizontal polarizer, while in arm 2 we place a polarizer at 45 degrees. The wavelength of the laser is 500 nm. Keep in mind, after traveling through a 45-degree polarizer, the photon will be represented by the wave function.
After traveling through a horizontal polarizer, the photon is represented by the wave function ei.
To simplify this problem, we will ask the probability that a photon at the detector is horizontal or vertical. So the probability of observing a photon of any polarization will be normalized to one; that is, Ph + Pu = 1.
1. Suppose we block arm 1. What is the probability that a photon we observe at a detector is horizontally polarized?
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Now we open arm 1 so that the sides can interfere. What's the probability that a photon observed at a detector is horizontally polarized?
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3. We keep arm 1 open so that the sides can interfere. What's the probability that a photon observed at a detector is vertically polarized?
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