Huygen's Principle

Huygen's Principle

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

Definition: The Huygen's 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 the figure below.

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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.

Example: Application of the Huygen's Principle

Question

Given the wavefront,

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

Step 1: Draw circles at various points along the given wavefront

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Step 2: Join the circle crests to get the wavefront at a later time

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This lesson is part of:

Introducing Electromagnetic Waves

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