What will be the relation between visibility of fringe pattern as a function of d, for a Michelson interferometer where d denotes the travel for one of the mirrors. Assume the light source to have (a) Gaussian, (b) Lorenzian spectral distribution
Dear @Muhammad,
usually, in studying the effect of diffraction, we use uniform lighting over the slits of the apparatus.
If you want to use different lighting (Guassian, like you suggested), you simply have to convolute the reference pattern (uniform lighting) with the chosen functional lighting you want.
Tell me if everything is clear
The fringe visibility recorded over the path difference, which is the envelope of the intensity trace, should be the autocorrelation of the electrical field which in turn is also the fourier transform of the spectral power. So if your spectrum is lorentzian, the envelope should be an exponential decay and if the spectrum is gaussian, the visibility is also gaussian.
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