Critical angle at the core wall–
Numerical aperture–
Acceptance cone and result–
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The two angles

Snell's law gives the critical angle at the core wall, measured from the perpendicular: sin(critical angle) = n2 / n1. Light striking the wall at a larger angle than that is totally reflected.

Working back to the fiber's end face gives the numerical aperture, NA = square root of (n1 squared minus n2 squared). The largest entry angle from air that will still be trapped is asin(NA). The zigzag path in the scene is a ray picture; very thin single mode fibers really carry light as a wave pattern.

Try it: set the core to 1.48 and the cladding to 1.46. The acceptance cone is only about 14 degrees, so an entry angle of 20 degrees leaks. Now drop the cladding to 1.40 and watch the cone open past 28 degrees.

Why the index step is small

Telecom fibers use a tiny index difference, often under 1 percent, because rays at very different angles travel different distances and spread a pulse out in time. A small step keeps pulses sharp, which allows faster data rates.

Sources

How to cite this model

Avid Solutions International. (2026, November 11). How light stays trapped in an optical fiber [Interactive 3D model]. Avid Field Lab. https://avidsolutionsintl.com/explore/fiber-optic

Last updated November 11, 2026

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