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

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A fringe shift in Fizeau's experiment represents the movement of the interference pattern due to the addition of velocities affecting light's wavelength. It indicates how the positions of bright and dark fringes change as the relative velocity between the light source and observer varies. The formula for fringe shift incorporates the velocities of both the light source and observer, along with the light's wavelength. A fringe shift value, such as 0.3, signifies a shift of 0.3 wavelengths in the interference pattern. This shift can be measured by comparing the distances between the fringes before and after the velocity changes.
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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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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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