Wave behaviour

Wave Behaviour

Reflection and Refraction

  • Reflection is the phenomena when a wave bounces back after hitting a boundary. The angle of incidence equals the angle of reflection.
  • Refraction is the bending or changing direction of a wave passing from one medium to another, often due to the change in wave speed.
  • The wave normal is the line perpendicular (at 90 degrees) to the barrier at the point of incidence during reflection and refraction.
  • Snell’s law defines the path of a refracted wave as n1sin(θ1) = n2sin(θ2).

Coherence and Phase Differences

  • Coherent waves originate from the same source and have a constant phase difference. They also have the same frequency.
  • Phase difference is measured in degrees (0° to 360°) or radians (0 to 2π). A phase difference of 180° or π radians is equivalent to being half a cycle in or out of phase.
  • This phase difference can be found by studying the wave’s displacement from equilibrium at specific points.

Interference patterns

  • Two coherent waves can produce interference patterns. A wave interferes constructively with another when their phase difference is a multiple of 2π (including 0), resulting in an increased amplitude at the observed point.
  • Further, a wave interferes destructively with another when their phase difference is an odd multiple of π, resulting in an decrease or even cancellation of amplitude at the observed point.

Diffraction

  • Diffraction is the spreading of waves when they pass through a gap or around an obstacle.
  • Significant diffraction occurs when the gap or obstacle is approximately the same size as the wavelength of the waves.

Doppler Effect

  • The Doppler effect changes the observed frequency and wavelength of a wave due to the relative motion between the source of the wave and the observer.
  • If the source is moving closer, the observer perceives a higher frequency (shorter wavelength); if the source is moving away, the observer perceives a lower frequency (longer wavelength).