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Physics · Ch 6 — Optics

Double Slit as Coherent Sources

6.10.3

Double Slit as Coherent Sources

A double slit uses the principle of wavefront division: two slits S1,S2S_1,S_2, both illuminated by a single monochromatic source SS, act as a set of coherent sources. Waves from S1S_1 and S2S_2 travel in the same medium and superpose in the overlap region beyond the double slit: where the crest of one wave meets the crest of the other (or trough meets trough), the two waves are in-phase, the displacement is maximum, and the region appears bright -- constructive interference; where the crest of one wave meets the trough of the other, the waves are out-of-phase, the displacement is minimum, and the region appears dark -- destructive interference. So on a screen placed in this overlap regi …

Figure 6.57Interference due to double slit

What this figure shows. Panel (a) shows two overlapping sets of circular wavefronts (crests as solid lines, troughs as broken lines) spreading out from two coherent slits; wherever two crests (or two troughs) coincide, the waves add constructively and the region is marked bright, while wherever a crest meets a trough the waves cancel and the region is marked dark, tracing out fan-shaped bright and dark zones radiating outward from the two slits. Panel (b) shows the double slit S1, S2 itself, fed by a single upstream source S, generating exactly this coherent overlapp …