Fringe width (distance between consecutive bright or dark fringes):
β=dλD[L],SI unit: m
Bright fringe positions (from center):
ynbright=nβ=dnλD,n=0,±1,±2,…
Dark fringe positions (from center):
yndark=(n−21)β=2d(2n−1)λD,n=1,2,3,…
Effect of changing parameters:
| Change | Effect on β |
|---|
| λ doubled | β doubles |
| D doubled | β doubles |
| d doubled | β halved |
| Immersed in liquid (n) | β reduced by factor n (λ′=λ/n) |
| D doubled AND d halved | β becomes 4× |
Pattern with white light:
- Central fringe: white (all λ's have Δ=0)
- Higher-order fringes: colored (violet innermost, red outermost)
- After a few orders: colors overlap → pattern unrecognizable