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Newton's rings

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Circular fringes from a lens on a flat surface.

A convex lens on a flat plate produces concentric rings from an air-wedge interference; the radius of the nth dark ring is r_n = √(nλR). Used to test lens surfaces.

Worked example

R = 1 m, λ = 589 nm: r₁₀ = 2.4 mm.

Common mistake

Centre is dark due to the phase change.

In more detail

Newton's rings are concentric interference fringes formed between a convex lens and a flat glass plate. The air gap thickness varies with radius, producing rings of alternate light and dark.

Real-world uses

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Frequently asked questions

Why are the rings concentric?

Because the air gap thickness depends only on distance from the centre.

What does a dark centre mean?

Contact between the lens and plate causes a phase change, making the centre dark.

What do the rings show?

The ring spacing depends on the air gap, so irregular rings reveal a surface that is not flat.

Related topics in Optics

Fringe width · Intensity in interference · Thin film interference · Michelson interferometer · Single slit diffraction · Diffraction grating

← All Optics topics