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Wave interference

physical science Maturity 11-13 Next article →

Interference is a physical phenomenon that occurs when two or more coherent waves combine. When waves overlap, they add their intensities or displacements together based on their phase difference. This process results in a non-uniform distribution of energy through space. In some locations, the energy reaches a maximum level. In other locations, the energy reaches a minimum level. This effect is not limited to one type of wave. It can be observed in light, radio waves, acoustic waves, and surface water waves. It even applies to matter waves and electrical waves in loudspeakers.

Interference of two waves
Interference of two waves

The mechanism behind this phenomenon is known as the principle of superposition. This principle states that when multiple waves of the same type meet at a single point, the resulting amplitude is the vector sum of the individual amplitudes. The outcome depends entirely on the phase of the waves. If the waves are in phase, they undergo constructive interference. This happens when a crest of one wave meets a crest of another wave of the same frequency. The amplitudes add together to create a larger wave.

Waventerference
Waventerference

Conversely, waves can also undergo destructive interference. This occurs when the waves are out of phase. If the crest of one wave meets the trough of another, the resulting amplitude is the difference between the two individual amplitudes. In an ideal medium like air or water, energy is always conserved. At points of destructive interference, the wave amplitudes cancel each other out. This does not mean the energy disappears. Instead, the energy is simply redistributed to other areas.

Interfering surface waves on a lake
Interfering surface waves on a lake

There are different ways to categorize these interactions based on the wave geometry. For example, two plane waves of the same frequency can intersect at an angle. This creates a pattern known as interference fringes. The separation between these maxima is called the fringe spacing. This spacing increases if the wavelength increases or if the angle decreases.

Another type involves spherical waves produced by point sources. When light from two point sources overlaps, the interference pattern maps how the phase difference varies in space. This pattern depends on both the wavelength and the distance between the sources.

wavepanel
wavepanel

History shows that our understanding of these patterns has evolved significantly. Around the year 1800, Thomas Young used the term "interference" while developing his theories regarding optics and acoustics.

His work provided a foundation for classical wave models. In the modern era, quantum mechanics has added a new layer to this history. The physicist Paul Dirac famously stated that every photon of light interferes with itself. Later, Richard Feynman used path integrals to show that higher probability paths emerge from these interactions. This connects classical wave behavior to the behavior of individual quanta.

Interference is highly significant in many scientific applications and technologies. It is used in the creation of anti-reflective coatings for lenses. Scientists also use interferometers, which are tools designed to measure interference patterns with great precision.

Optical flat interference
Optical flat interference

In thin films, such as a soap bubble, varying thickness causes different colors to undergo constructive or destructive interference.

Interference colours in soap film 1
Interference colours in soap film 1

Furthermore, multiple-beam interference is used in devices like the Fabry–Pérot interferometer and diffraction gratings. These tools rely on the precise spacing of phases to manipulate light or other waves.

Finally, interference connects to many broader fields of physics and engineering. In electrical engineering, the principle of multiple beams is used in 3-phase power. This system achieves a specific result by using uniform spacing of phases so that waves sum to zero. In the study of light, we observe that the intensity of an optical interference pattern is proportional to the square of the average amplitude. If two beams have equal intensity, the constructive interference maxima can be four times as bright as the individual beams. This deep connection between wave geometry and energy distribution remains a cornerstone of modern science.

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🖼️ Images & Media (11)
File:Interference of two waves.svg
Interference of two waves.svg
File:Interfering surface waves on a lake.jpg
Interfering surface waves on a lake.jpg
File:Waventerference.gif
Waventerference.gif
File:Two sources interference.gif
Two sources interference.gif
3D Interference of Laser Light Through 2...
File:Interference colours in soap film 1.jpg
Interference colours in soap film 1.jpg
File:interference of plane waves 3.svg
interference of plane waves 3.svg
File:Interferences plane waves.jpg
Interferences plane waves.jpg
File:wavepanel.png
wavepanel.png
File:Optical flat interference.svg
Optical flat interference.svg
File:USA.NM.VeryLargeArray.02.jpg
USA.NM.VeryLargeArray.02.jpg
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