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You are here: Home Grade 11 Physical Sciences 2D and 3D wavefronts Huygens principle

Huygens principle

Christiaan Huygens described how to determine the path of waves through a medium.

Definition 1: The Huygens Principle

Every point of a wave front serves as a point source of spherical, secondary waves. After a time t, the new position of the wave front will be that of a surface tangent to the secondary waves.

Huygens principle applies to any wavefront, even those that are curved as you would get from a single point source. A simple example of the Huygens Principle is to consider the single wavefront in Figure Figure 1.

Figure 1: A single wavefront at time t acts as a series of point sources of circular waves that interfere to give a new wavefront at a time \(t+\Delta t\). The process continues and applies to any shape of waveform.
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Example 1: Application of the Huygens principle

Question

Given the wavefront,

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use the Huygens Principle to determine the wavefront at a later time.

Answer

Draw circles at various points along the given wavefront

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Join the circle crests to get the wavefront at a later time

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