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4. In the array of beam splitters in the figure, a photon enters at point A amplitude 1. What is the probability that it emer

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Answer #1

1/2 P(E)= 1/2 A 1/2 1/2

Part(a)-Probability of photon to reflect at splitter and to transmit through splitter both are 1/2.

Probability of photon to transmit through first splitter i.e. emerges at point B-

P(E1)=1/2----------(1)

Part(b)-If photon reaches to point B,then the probability that it will emerges at C will be again 1/2 i.e.

P(E2)=1/2 ----------(2)

So overall probability that photon enters at point A emerges at C-

PE) = PE) P(E2

1 1 1 PE)

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