Wave diffraction concept and examples

1951
Basil Manning

The wave diffraction It is the deviation of the direction in which the waves propagate when they meet an obstacle, which can be a solid object or a gap. When hitting the obstacle, the wave is distorted and surrounds it. But for the effect to be well appreciated, it is necessary that the size of the obstacle is comparable to that of the wavelength.

The phenomenon of wave diffraction is explained according to the Huygens principle, discovered by the Dutch physicist Christian Huygens in 1678. It is stated that when the disturbance reaches a medium, each point of it behaves as an emitter of new waves, of the same speed and frequency as the original.

The figure shows the diffraction of a plane wavefront in two cases: a) the aperture is larger than the wavelength (left) and the wavefront passes through it with hardly any deformation and b) the wavelength and the aperture are comparable, the wave front bends, becoming a spherical front. Source: Wikimedia Commons.

In this way, a new wavefront is continuously produced, which can be visualized by tracing the envelope of each secondary wave emitted..

Naturally, this wavefront has infinite points, but precisely in the place of the obstacle there is a single wavefront that acts as an emitter, which makes it possible for the wave to bypass the obstacle, bend and propagate to the other side..

Article index

  • 1 Examples of diffraction
    • 1.1 Project sunlight into a dark room
    • 1.2 The electron microscope
    • 1.3 Diffraction of sea waves
    • 1.4 X-ray diffraction
    • 1.5 Animal communication
    • 1.6 Fog horns
    • 1.7 AM Radio vs. FM
  • 2 References

Examples of diffraction

Diffraction is a characteristic phenomenon of all waves, including light and acoustic waves. If a jet of particles is fired towards an apertured screen, the jet does not behave in the same way as a wave such as light would, for example, since the stream of particles would not be deformed to be bent by the obstacle or the intervening opening, but would continue in a straight line.

The first to experiment and document the phenomenon of the diffraction of light was the Italian scientist and priest Francesco MarĂ­a Grimaldi (1618-1663), and also who gave it his name.

Project sunlight into a dark room

As Grimaldi did, it can be seen that by passing sunlight into a dark room and projecting it onto the wall through a cardboard with a small hole or slot, the light spot is larger than the expected.

It can also be seen that the edges are not sharp and although it is not that simple to observe, the edges in the shadow have a diffuse fringe pattern. But if monochromatic light is used, such as that from a laser, there is a more pronounced stripe pattern..

The diffraction of light is not as evident as that of sound or ocean waves, because for it to occur, the obstacle or opening must have a length comparable to that of the wavelength. Visible light has wavelengths between 400-700 nanometers (1 nanometer = 10-9 meters).

Therefore, the narrower the slit through which the light that is projected on the wall or screen is allowed to pass, it is more evident that there is no abrupt change between the illuminated area and the dark area..

The electron microscope

Electron microscope in a histology laboratory

Diffraction of light is a limitation for the light microscope. When an object is smaller than the wavelength of light there is no way to see it, because diffraction completely blurs the image of the object.

This is why scientists use electrons to illuminate very small structures, since the wavelength of an electron beam is shorter than that of light. It happens that electrons have a dual nature and are capable of behaving like waves.

Diffraction of sea waves

The diffraction of the waves of the sea is clearly observed when passing between the rocks in Blue Lagoon, Wales, southwest of the United Kingdom. Source: Wikimedia Commons.

The diffraction of marine waves is clearly seen around rocks and small islands, especially when the distance between these rocks is very similar to the wavelength of the waves..

X-ray diffraction

Diffraction does not only occur with visible light, but also with the rest of the electromagnetic spectrum. By interposing a crystalline structure before an X-ray beam, the diffraction they experience produces a pattern that depends on said structure.

This diffraction is due to the interaction between the X-rays and the outer electrons of the crystal atoms..

Animal communication

Many animals communicate with each other by emitting sounds that, due to their low frequency, are inaudible to humans. The audible range of people is very wide, oscillating between 20 and 20,000 Hz, but animals such as the African elephant are capable of emitting sounds with frequencies below 20 Hz.

The phenomenon helps them to communicate across the vast African savannas, as the lower the frequency, the more easily acoustic waves are diffracted. When they encounter rocks, trees and bushes, one part is reflected in the obstacle and the other expands past the obstacle and immediately filling the environment as it passes..

This helps pack members to easily locate each other..

But not only pachyderms make use of this property of sound, rhinos, giraffes and crocodiles are also capable of using low-frequency sounds. Even the roar of tigers contains low frequencies, which according to experts, contribute to paralyzing the prey.

Fog horns

They are speakers that serve to guide boats in areas where fog prevents good visibility. Likewise, boats have these horns to warn of their presence and thus avoid accidents.

Fog horns emit low-frequency sounds, that is, bass notes, since as explained above, low-frequency sounds are diffracted more than high-frequency sounds, and also travel greater distances.

The latter is due to the fact that the attenuation of the sound wave is lower the lower the frequency. For this reason, high-pitched sounds are lost faster than bass, another reason why elephants use very low-frequency sounds to communicate.

Radio AM vs. FM

Dial of an AM and FM radio player

Radio waves can experience diffraction due to obstacles such as hills, mountains, and large buildings. The AM band has long wavelengths (180-550 meters) compared to the obstacles you usually encounter.

That is why they are more easily diffracted than FM, whose wavelength can be just a couple of meters. These do not deviate as well when they bump into buildings, making reception difficult in some areas.

References

  1. Bauer, W. 2011. Physics for Engineering and Sciences. Volumes 1 and 2. Mc Graw Hill.
  2. Boundless Physics. Diffraction. Recovered from: courses.lumenlearning.com.
  3. Giancoli, D. 2006. Physics: Principles with Applications. 6th. Ed prentice hall.
  4. Hewitt, Paul. 2012. Conceptual Physical Science. 5th. Ed. Pearson.
  5. Rex, A. 2011. Fundamentals of Physics. Pearson.
  6. Sears, Zemansky. 2016. University Physics with Modern Physics. 14th. Ed. Volume 1-2. Pearson.
  7. Serway, R., Jewett, J. 2008. Physics for Science and Engineering. Volume 1-2. 7th. Ed. Cengage Learning.

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