The attatched figure shows a Michelson interferometer with a movable mirror M1, a fixed mirror M2, and a beam splitter Ms , which is a half-silvered mirror that transmits one-half the light and reflects one-half the light incident upon it independent of the direction of the light. The source emits monochromatic light of wavelength λ. Assume the beam splitter introduces a phase change of π for light that follows path 1 from the source to the detector relative to light that follows path 2 from the source to the detector. Also assume the mirrors M1 and M2 reflect 100% ofthe light incident upon them and the photodetector PM (a photomultiplier) is 100% efficient as well. Question: Use the principles of quantum mechanics to determine the probability that a photon entering the interferometer is detected by the photodetector. Express your answer in terms of the lengths I1 , I2 and λ. Find an expression for I1 in terms of I2 and λ, such that there is 100% probability that the photon is detected by the photodetector.
The attatched figure shows a Michelson interferometer with a movable mirror M1, a fixed mirror M2, and a beam splitter Ms , which is a half-silvered mirror that transmits one-half the light and reflects one-half the light incident upon it independent of the direction of the light. The source emits monochromatic light of wavelength λ. Assume the beam splitter introduces a phase change of π for light that follows path 1 from the source to the detector relative to light that follows path 2 from the source to the detector. Also assume the mirrors M1 and M2 reflect 100% ofthe light incident upon them and the photodetector PM (a photomultiplier) is 100% efficient as well. Question: Use the principles of quantum mechanics to determine the probability that a photon entering the interferometer is detected by the photodetector. Express your answer in terms of the lengths I1 , I2 and λ. Find an expression for I1 in terms of I2 and λ, such that there is 100% probability that the photon is detected by the photodetector.
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The attatched figure shows a Michelson interferometer with a movable mirror M1, a fixed mirror M2, and a beam splitter Ms , which is a half-silvered mirror that transmits one-half the light and reflects one-half the light incident upon it independent of the direction of the light. The source emits monochromatic light of wavelength λ.
Assume the beam splitter introduces a phase change of π for light that follows path 1 from the source to the detector relative to light that follows path 2 from the source to the detector. Also assume the mirrors M1 and M2 reflect 100% ofthe light incident upon them and the photodetector PM (a photomultiplier) is 100% efficient as well.
Question:
- Use the principles of
quantum mechanics to determine the probability that a photon entering the interferometer is detected by the photodetector. Express your answer in terms of the lengths I1 , I2 and λ. Find an expression for I1 in terms of I2 and λ, such that there is 100% probability that the photon is detected by the photodetector.
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