NSMQ Icon
NSMQ

Wave Optics in Physics

Two beams of light meeting in the same place behave in a way no stream of separate particles would. They add, and whether they add to brightness or to darkness depends entirely on how far one has travelled compared with the other. That single idea, the path difference, produces the whole subject. Young's experiment turns it into a row of bright and dark bands whose spacing reads off the wavelength directly, a thin film turns it into the coloured swirls on a soap bubble, and a Michelson interferometer turns it into a distance measurement of startling precision. The blocks give the path difference and the two conditions, the fringe positions and spacing, the intensity pattern, the half wavelength shift that reflection sometimes adds, and the film and interferometer relations that follow from it.

Path difference between the two slits and a point on the screen

Given

  • (m)
  • (rad)
Condition for a bright fringe in Young's experiment

Given

  • (m)
  • (rad)
Condition for a dark fringe in Young's experiment

Given

  • (m)
  • (rad)
Position of a bright fringe on the screen

Given

  • (m)
  • (m)
  • (m)
Position of a dark fringe on the screen

Given

  • (m)
  • (m)
  • (m)
Spacing between neighbouring fringes

Given

  • (m)
  • (m)
  • (m)
Phase difference produced by a path difference

Given

  • (m)
  • (m)
Resultant amplitude of two waves of equal amplitude

Given

  • (V/m)
  • (rad)
Intensity of the double-slit interference pattern

Given

  • (V/m)
  • (rad)
Intensity written in terms of the slit geometry

Given

  • (W/m²)
  • (m)
  • (rad)
Change of Phase Due to Reflection
Interference in a thin film with one reflection reversed

Given

  • (m)
Interference in a thin film that does not reverse either reflection

Given

  • (m)
Mirror movement in a Michelson interferometer

Given

  • (m)
Wavelength measured with a Michelson interferometer

Given

  • (m)