JentooPhysics 2

AP® Physics 2: Algebra-Based · Unit 14 · Topic 14.8

Double-Slit Interference

When light passes through two narrow slits, the waves spreading out from each slit overlap and interfere, building a pattern of bright and dark stripes called fringes instead of two simple bright lines.

Each slit acts as a source of spreading waves. At any point on the screen, light from the two slits has traveled slightly different distances to get there, so the two waves arrive out of step by some amount. If that extra distance (the path difference) is a whole number of wavelengths, the waves arrive crest to crest and add up: a bright fringe. If it is a half wavelength off, crest meets trough, and the waves cancel: a dark fringe. Every point on the screen falls somewhere between these two extremes, which is why the pattern is a smooth series of bright and dark bands rather than just two spots.

If you watched the pattern build photon by photon, each single photon still lands somewhere and the bright fringes are just where photons land most often, dark fringes where they almost never land. The spacing between adjacent bright fringes depends on wavelength, slit separation, and screen distance: fringe spacing equals wavelength times screen distance divided by slit separation. This is why longer wavelengths or closer slits spread the fringes farther apart.

This topic sits right after single-slit diffraction and the two interact: each slit alone would spread light into a broad diffraction pattern, and the double-slit fringes actually appear inside that broader envelope, shaped by it but not caused by it. Sending the setup underwater shrinks the wavelength of light inside the water, which shrinks the fringe spacing without changing slit geometry, linking this topic directly to how wave speed and wavelength change in different media.

Key terms

Interference
The combining of two waves at a point, adding constructively or destructively depending on how in step they are.
Path difference
The difference in distance traveled by light from each slit to a given point on the screen.
Fringe
A bright or dark band on the screen caused by constructive or destructive interference.
Fringe spacing
The distance between adjacent bright (or dark) fringes, equal to wavelength times screen distance divided by slit separation.
Constructive interference
When waves arrive in step and add together to produce a brighter result.

Watch it explained

  1. How it worksHow does the extra distance to one slit decide whether a spot on the screen is bright or dark?
  2. How it worksWatch the fringe pattern build up on the screen one bright band at a time.
  3. Worked exampleFind the fringe spacing for 650 nm light through slits 0.20 mm apart on a screen 2.0 m away.
  4. Common mistakeWhy isn't the double-slit pattern just the two single-slit patterns sitting side by side?
  5. Going furtherWhat happens to the fringes when the whole apparatus is lowered into water?

Check yourself

Your turn1 of 2
Find the fringe spacing, in mm, for 609 nm light through slits 0.36 mm apart on a screen 2.83 m away.

End of topic.