Explain the use of wavefront to understand wave propagation. 

Vedclass pdf generator app on play store
Vedclass iOS app on app store

Principle : Every point or particle of a wavefront behave as an independent secondary source and emits by itself secondary spherical waves. After a very small time interval the surface tangential to all such secondary spherical wavelets give the position and shape of new wavefront.

Basically the Huygen's principle is a geometric construction.

Suppose, that $\mathrm{F}_{1} \mathrm{~F}_{2}$ represents a part of spherical wavefront at $t=0$ which is a wave propagating outwards.

According to Huygen's principle all points of this wavefront $\left(\mathrm{F}_{1} \mathrm{~F}_{2}\right)(\mathrm{A}, \mathrm{B}, \mathrm{C}, \ldots)$ behave as secondary sources and velocity of wave is $v$, then distance covered in time $\tau$ is $v \tau$.

To determine the shape of wavefront at $t=\tau$, draw spheres of radius $v \tau$ from each point on the spherical wavefront and draw a common tangent to all these sphere then at time $t$ after $\tau$ time gives the position and shape of new wavefront which is $\mathrm{G}_{1} \mathrm{G}_{2}$ in the forward direction. This is a spherical wavefront with centre $\mathrm{O}$ and $\mathrm{D}_{1} \mathrm{D}_{2}$ spherical wavefront is found backward. The points $\mathrm{A}^{\prime}, \mathrm{B}^{\prime}, \mathrm{C}^{\prime}$ on $\mathrm{G}_{1} \mathrm{G}_{2}$ act as secondary source.

906-s41

Similar Questions

Explain the reflection of plane wavefront from concave mirror. 

Huygen's conception of secondary waves

Huygen's theory of secondary waves can be used of find

Which one of the following phenomena is not explained by Huygen's construction of wavefront

  • [AIPMT 1988]

Ray diverging from a point source from a wave front that is