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in Class 12 by kratos

Define Huygens principle. Explain wave front: plane, spherical and cylindrical type.

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by kratos
 
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A locus of points, which oscillate in phase is called a wavefront ; thus a wavefront is defined as a surface of constant phase. The speed with which the wavefront moves outwards from the source is called the speed of the wave. The energy of the wave travels in a direction perpendicular to the wavefront.

If we have a point source emitting waves uniformly in all directions, then the locus of points which have the same amplitude and vibrate in the same phase are spheres and we have what is known as a spherical wave as shown in Fig.

At a large distance from the source, a small portion of the sphere can be considered as a plane and we have what is known as a plane wave Fig.

A according to Huygens principle, each point of the wavefront is the source of a secondary disturbance and the wavelets emanating from these points spread out in all directions with the speed of the wave. These wavelets emanating from the wavefront are usually referred to as secondary wavelets and if we draw a common tangent to all these spheres, we obtain the new position of the wavefront at a later time.

A wavefront is the long edge that moves, for example, the crest or the trough. Each point on the wavefront emits a semicircular wave that moves at the propagation speed v . These are drawn at a time t later, so that they have moved a distance = vt . The new wavefront is a line tangent to the wavelets and is where we would expect the wave to be a time t later. Huygens’ principle works for all types of waves, including water waves, sound waves, and light waves.

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