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In 1801, an English physician and physicist established the principle of light interference, where he made a pinhole camera in cardboard and allowed sunlight to pass through it.
This white light was then allowed to fall upon another cardboard having two pinholes placed together symmetrically.
The emerging light was received on a plane screen placed at some distance.
At a given point on the screen, the waves emerging from two holes had different phases, interfering to give a pattern of bright and dark areas.
Such a variation of intensity on the plane screen demonstrated the light waves emerging from the two holes.
Therefore, this pattern of bright (constructive fringe) and dark (destructive fringe) areas can be sharply defined only if the light of a single wavelength is used.
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Young Double Slits Experiment Derivation
The two waves interfering at P have covered different distances.
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Let the waves from two coherent sources of light be represented as
y1 = a sinωt…(1)
y2 = b Sin(ωt + Φ)…(2)
Here, a and b are amplitudes of the two waves resp.
Φ is the constant phase angle by which the second wave leads the first wave.
Applying the superposition principle, the displacement(y) of the resultant wave at time
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Source: Math Hello Kitty
Categories: Physics
