Nepedia
Back to Discover
Advanced Reader
⚛️

Moiré pattern

physical science Maturity 7-9 Next article →

A moiré pattern, or moiré fringe, is a large-scale wave interference pattern. It occurs when a partially opaque ruled pattern is overlaid on another similar pattern. For this interference to happen, the two patterns must not be identical. They must be displaced, rotated, or have a slightly different pitch. The result is the perception of a third, distinct pattern. This new pattern often appears as large, wavy bands of light and dark.

The mechanism behind this effect is a nonlinear interaction of optical patterns. When two patterns overlap, the lines do not always align. In areas where the lines from both patterns sit together, the density increases. This creates a dark zone. In other areas, the lines of the second pattern fall into the gaps of the first. This creates a pale or white zone.

Moire-bridge-picket-fence
Moire-bridge-picket-fence

This constant switching between dark and pale zones creates the visible moiré pattern. This is a form of wave interference. It is similar to the beat phenomenon in acoustics. In acoustics, a beat occurs when two pure notes of almost identical pitch are played together.

There are different types of moiré patterns, such as line moiré and shape moiré. Line moiré occurs when the superposed patterns consist of straight or curved lines. If you move one layer, the resulting pattern moves at a much higher velocity. This is known as optical moiré speedup.

070309-moire-a5-a5-upward-movement
070309-moire-a5-a5-upward-movement

Shape moiré is a more complex version that demonstrates moiré magnification. This happens when a pattern containing tiny lines is placed over a layer with a repeating complex shape. This can create band moiré patterns that reveal sequences of symbols.

070320-a6-shape-moire-pr-gt-pb
070320-a6-shape-moire-pr-gt-pb

The term originates from the French word "moiré," which describes a type of textile. Historically, this fabric was made of silk, but it is now made of cotton or synthetic fibers. The fabric has a rippled or "watered" appearance. To create this effect, two layers of the textile are pressed together while wet. The imperfect spacing of the threads creates a characteristic pattern that remains after drying. The noun "moire" has been used in French since the 17th century. The adjective "moiré" has been used in English since at least 1823.

Mathematics can describe exactly how these patterns form. For parallel patterns, we look at the step or pitch of the lines. If the first pattern has a step of $d_1$ and the second has a step of $d_2$, a shift occurs. As you move across the patterns, the lines eventually become opposed. The distance between the dark and pale zones depends on the difference between these steps. A larger discrepancy between the steps makes the zones closer together.

This principle is very similar to the way a Vernier scale works.

Moiré patterns have many important applications in science and technology. In digital photography and television, they can be an unwanted artifact. This happens when a pattern on an object interferes with the shape of the light sensors. In printing, the patterns of dots can interfere with the intended image. However, scientists use the effect deliberately in micrometers. This allows them to amplify the effects of very small movements.

Moire extensometrie
Moire extensometrie

They can also use a phase moiré effect to reveal hidden patterns in invisible layers.

One of the most striking properties of this effect is magnification. You can see this when viewing a chain-link fence through a second chain-link fence. The fine structure of the design remains visible even at great distances. This is because the two patterns work together to stretch the shapes. In optics, the phase moiré effect and the classical moiré effect are two ends of a continuous spectrum. This is known as the universal moiré effect. It provides a way to create broadband interferometers for x-ray and particle wave applications.

625 words

Where will your curiosity go next?

Keep exploring at your chosen reading level.

🖼️ Images & Media (9)
File:Moire-bridge-picket-fence.jpg
Moire-bridge-picket-fence.jpg
File:Moiré pattern.png
Moiré pattern.png
ShadingNetMoiree.webm
File:070309-moire-a5-a5-upward-movement.gif
070309-moire-a5-a5-upward-movement.gif
File:070320-a6-shape-moire-pr-gt-pb.gif
070320-a6-shape-moire-pr-gt-pb.gif
File:Moire.gif
Moire.gif
File:Moiré grid.svg
Moiré grid.svg
File:Moire extensometrie.png
Moire extensometrie.png
BeatTrackMoirePattern.ogg
More to explore

🔬 Go deeper

More advanced topics to explore

🪜 Step back

Simpler topics to build understanding

What is Nepedia?

A free, ad-free encyclopedia for children. Every article is written at five reading levels, so the same page works for a five-year-old and a fifteen-year-old — use the level switcher above to see this one change. No account needed to read.