The formula for fringe shift refers to the change in the position of the interference fringes when certain conditions are altered, such as changing the wavelength of light, the distance between slits, or the distance to the screen.
For a double-slit interference experiment, the fringe shift (the distance by which the fringes move) is given by:
\[
\Delta y = \frac{\lambda D}{d}
\]
Where:
- \(\Delta y\) is the fringe shift (the change in the position of the central maximum).
- \(\lambda\) is the wavelength of light used.
- \(D\) is the distance from the slits to the screen.
- \(d\) is the distance between the two slits.
This formula assumes you're observing the interference pattern on a screen, and it describes the shift in the position of the fringes when any of the factors (\(\lambda\), \(D\), or \(d\)) is changed. The fringe shift \(\Delta y\) is most noticeable when you alter one of these parameters, such as using a different light source (changing \(\lambda\)) or moving the screen (changing \(D\)).