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Grades 6–8 · Materials & Matter

How do overlapping reflections make colors in a thin film?

A thin oil film on water can shimmer with colors even when the oil has no bright pigment. These are interference colors. Some incoming light reflects from the upper surface, while some enters the film, reflects from the lower surface, and returns outward. The two contributions overlap rather than forming separate colored beams like a rainbow.

P31 visual explanationTwo equal-amplitude reflected contributions at normal incidence have relative phase 1 cycles and normalized toy intensity 1. Oil thickness 100 nm, wavelength 600 nm, indices air 1, oil 1.5, water 1.33; only the upper reflection reverses phase.Thin-film colors come from waves addingTwo reflecting surfacesReflected wavesAir: n = 1.00Oil: n = 1.50100 nmWater: n = 1.3312Sum12Selected light: 600 nmThe selected reflected waves reinforce.Normal incidence • equal amplitudes • not a full color spectrum

In the diagramThin-film colors come from waves addingTwo reflecting surfacesReflected wavesAir: n = 1.00Oil: n = 1.50100 nmWater: n = 1.3312SumSelected light: 600 nmThe selected reflected waves reinforce.Normal incidence • equal amplitudes • not a full color spectrum

Two reflected contributions emerge from the film and combine. For the selected ideal 100 nm film and 600 nm light, their phases line up and the summed wave is larger.

Light behaves as a wave. Its phase describes where it is in a repeating cycle. Waves that line up can reinforce one another; waves that oppose one another can weaken or cancel their combined effect. The extra travel through the film changes the phase of the lower reflection.

Reflection itself can also change phase. Refractive index is light’s vacuum speed divided by its speed in the material. The refractive indices are 1.00 for air, 1.50 for oil, and 1.33 for water. The upper reflection flips phase while the lower one does not. Together with the travel distance, this determines which wavelengths are reinforced. For the illustrated 100-nanometer oil film and selected 600-nanometer light at normal incidence, the two ideal reflected waves line up and reinforce.

White light contains many wavelengths, so a real film can strengthen some colors more than others. Changes in thickness or viewing angle alter the pattern. The equal-amplitude wave sketch isolates this mechanism; it does not calculate a realistic perceived color or include every repeated reflection within the film.

About this explanation

Starting knowledge: Understands wavelength, wave crests and troughs, reflection, and transparent material boundaries.

Sources

  • OpenStax, Rice University — Interference in Thin Films
  • OpenStax, Rice University — Thin Film Interference
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