Principle of Superposition
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| Principle of Superposition |
Principle of super position is the most important principle in the wave optics. It is used to find the resultant disturbance ( at a particular point ) produced due to number of simultaneous disturbances.
Definition :
" This principle states that the resultant displacement of a particle of the medium acted upon by two or more waves simultaneously is the algebraic sum of the displacements of the same particle due to individual waves, in the absence of others "
Suppose due to single wave train the displacement of the particle at certain point at any instant is y1 in a given direction and that due to another wave train the displacement is y2 in the absence of first. According to the principle of superposition, the instantaneous resultant displacement R of the particle due to two waves acting together is expressed by
R = Y1 + Y2
If the two displacements are in the opposite directions, the instantaneous resultant displacement due to two waves acting together is expressed by
R = Y1 - Y2
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