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Wavefront and Huygens' principle sheet
3-mark answer frame

State Huygens' principle. Using it, show with a diagram how a plane wavefront moves forward in a uniform medium.

How to lay out the answer. Follow the frame, then write it in your own words.

  1. 1 · State the principle. Every point on a wavefront is a source of secondary wavelets that spread with the wave speed v.
  2. 2 · Give the rule for the new wavefront. The forward envelope (common tangent) of the wavelets after time τ is the new wavefront.
  3. 3 · Draw the construction. [Plane wavefront F₁ with points A to D; equal semicircles of radius vτ on the forward side; common tangent F₂; rays at right angles]
  4. 4 · Explain the result. All wavelets have the same radius vτ, so the tangent is a plane parallel to F₁, a distance vτ ahead.
  5. 5 · Mention the backwave. Huygens assumed zero amplitude backwards, so no backward wavefront forms.
  6. 6 · Real life. Sunlight reaches the Earth as plane wavefronts moving forward in this way.
  7. 7 · Close in one line. So, a plane wavefront in a uniform medium stays plane and moves at speed v.

Scoring tip: Draw at least four wavelets of equal radius and write vτ on one of them.