Class 12 Physics Wave Optics Huygens Principle

Huygens Principle

  • Huygens principle states that each point of a wavefront is the source of secondary wavelets (small waves) which spread in all directions with the speed of the wave.
  • The new wavefront is formed by drawing a line tangent to all the wavelets.

 

For example:-

  • If a stone is thrown in the river,waves will be formed surrounding that point.
  • These waves look like concentric circles and they are known aswavefronts.
  • The wavefronts gradually spread in all the directions.
  • When the locus of all the waves is joined which are in the same phase, it will be the same as a sphere, and are known as Primary wavefront.
  • Secondary wavefront are formed fromeach point on the Primary wavefront.
  • The common tangential line that envelopes these secondary wavefronts will further give rise to other secondarywavefronts.
  • All wavefronts will gradually fade after some time.
  • Conclusion: - According to Huygens principle, every point on a wavefront give rise to secondary wavelets which spread out in all the directions with the speed of a wave.

 

  • Using Huygens principle we can determine the new position of the wavefront after time t.
  • Mathematically: To calculate the new position of the wavefront after time t.
    • Let the initial time ti =0.
    • Each wave will travel =vt1where v=speed of the wave.
    • Distance travelled by each wave is equal to the radius of the sphere.
    • Therefore radius of sphere = v t1.
    • Common tangent joining all the spheres will give the position of the new wavefront at time t=t1.
    • There are 2 possibilities: - outer tangent and inner tangent.
    • The amplitude of the back wave is 0. Therefore the back wave is neglected and the forward wave was considered.
    • New wave front will arise from each point on the outer wavefront.
    • Therefore the distance covered by these wavefronts = vt2.
    • And again spheres will be obtained and by drawing common tangent will tell the position of all the new wavefront after time t2.
    • Again back wave is neglected and forward wavefront is considered.
    • This shows the wavefront keep on spreading with time.

 

Share these Notes with your friends  

< Prev Next >

You can check our 5-step learning process


.