2. Optical interferometer. The Michelson interferometer shown below has the arms lengths of L - Ly...

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2. Optical interferometer. The Michelson interferometer shown below has the arms lengths of L - Ly NX for x = 0, where N is an integer and λ = 1064 nm is the laser wavelength, x is the position of one of the mirrors. Laser Ly Readout Lx In a) - c) assume monochromatic waves in the horizontal polarisation. In d) assume a realistic laser with coherence length lcoh. a) Find the power Pout at the readout port as a function of a given the input laser power Pin and sketch the result. M = b) Find , the smallest value of x when the optical gain dP/dx is maximum. c) Find how would the result in a) change if a half-wave plate was installed in the Y-arm of the interferometer with a Jones matrix = [0.83 0.56 0.56 -0.83 d) Find a condition on the coherence length of the laser for interference fringes to be visible at the readout port. 2. Optical interferometer. The Michelson interferometer shown below has the arms lengths of L - Ly NX for x = 0, where N is an integer and λ = 1064 nm is the laser wavelength, x is the position of one of the mirrors. Laser Ly Readout Lx In a) - c) assume monochromatic waves in the horizontal polarisation. In d) assume a realistic laser with coherence length lcoh. a) Find the power Pout at the readout port as a function of a given the input laser power Pin and sketch the result. M = b) Find , the smallest value of x when the optical gain dP/dx is maximum. c) Find how would the result in a) change if a half-wave plate was installed in the Y-arm of the interferometer with a Jones matrix = [0.83 0.56 0.56 -0.83 d) Find a condition on the coherence length of the laser for interference fringes to be visible at the readout port.

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a The power Pout at the readout port can be found by considering the light travelling through each of the paths in the interferometer In the absence of any losses the power at the readout port is equa... View the full answer