What is the significance of a fringe shift in Fizeau's experiment?

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The significance of a fringe shift in Fizeau's experiment relates to the movement of the interference pattern caused by the addition of velocities between the light source and the observer. A fringe shift quantifies the change in the location of bright and dark fringes, which occurs as the relative velocity alters the wavelength of light. The formula for calculating fringe shift incorporates the velocities of both the light source and observer, as well as the wavelength of light. A fringe shift of 0.3 indicates a displacement of the interference pattern by 0.3 wavelengths.

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I'm working on a modification of Fizeau's experiment in 1851 about the addition of velocities. I've derived the formula for the fringe shift. But the problem is I actually don't know what it is. I know it's the movement of the interference pattern. But it has no unite, so what is the meaning of a fringe shift of let's say 0,3. Or how can I determine the fringe shift in the interference pattern?
 
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Maybe you calculated the "phase shift" and then is obvious you got something adimensional (that is rad) ... :confused:
 


A fringe shift refers to the change in the interference pattern observed when two waves of light interfere with each other. In the context of Fizeau's experiment, it is the change in the location of the bright and dark fringes as the relative velocity between the light source and the observer changes. This shift is caused by the addition of velocities, which affects the wavelength of the light and thus the spacing between fringes. The formula for calculating the fringe shift takes into account the velocity of the light source, the velocity of the observer, and the wavelength of the light. A fringe shift of 0.3 would mean that the interference pattern has shifted by 0.3 wavelengths. This can be determined by measuring the distance between the fringes before and after the addition of velocities.
 

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