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What is the role of coherence in Young’s double-slit experiment?

Coherence plays a crucial role in Young’s double-slit experiment, as it ensures that a stable and observable interference pattern forms. Coherence refers to the constant phase relationship between two waves. Here’s how it matters:

  1. Steady Interference:
    For clear and stable interference fringes to appear, the two waves from the slits must have a fixed phase difference over time. This is only possible if the light sources are coherent.
  2. Maintains Fringe Visibility:
    If the waves are not coherent, the phase relationship fluctuates randomly, causing the interference pattern to wash out or disappear. Coherence maintains the contrast between bright and dark fringes.
  3. Common Origin:
    In the experiment, a single source of light is usually split into two slits to ensure that the light waves reaching both slits are coherent and in phase with each other.
  4. Temporal and Spatial Coherence:
    • Temporal coherence ensures consistent phase over time.
    • Spatial coherence ensures that the waves maintain a uniform phase across the slit width.

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