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Understanding Fraunhofer Diffraction Patterns

Apr 27, 2025

Fraunhofer Diffraction - Single Slit

Introduction

  • Fraunhofer diffraction occurs when light passes through a single slit.
  • Observed using a spectroscope with a monochromatic light source.
  • Diffraction pattern spreads out as the slit narrows, disappearing at a slit width equal or less than one wavelength of light.

Diffraction Mechanics

  • Slit Width (a): The width of the single slit.
  • Diffraction Direction: Focus on one direction where diffraction occurs towards point P.
  • Path Difference (BN):
    • Waves from slit sides have a path difference.
    • Path difference BN = a sin(θ).
    • When BN = λ (wavelength), the light from top and bottom cancels out, resulting in a minimum at point P.
  • Condition for Minima:
    • General condition: [ m \lambda = a \sin(\theta) ]
    • ( m ) is the order of the diffraction image (m = 1, 2, 3, ...).
    • Path difference corresponds to m wavelengths fitting into BN.

Intensity Distribution

  • Intensity plotted against distance from the slit forms a distinct pattern.
  • Pattern varies with changes in wavelength.

Wavelength Effects

  • Pattern Variation:
    • Red light pattern is broader than blue due to longer wavelength.
  • Visual representation highlights broader spread for longer wavelengths.

Additional Information

  • A more detailed version is available in Word format on the Schoolphysics USB.