Chapter 5. 19th Century Wave Theories

5.1 Young’s double-slit experiments

British natural philosopher Thomas Young provided strong evidence for Dutch natural philosopher Christiaan Huygens’ wave theory of light (discussed in Chapter 3) in 1803, when he published the results of his double-slit experiments.[1]

Young repeated earlier experiments with diffraction (discussed in Chapter 2) but passed the light through more than one slit. Young stated that:

  • If light is composed of particles, then they should each pass through a single slit, eventually creating two bright patterns on the other side.
  • If light is composed of waves, then the slits will cause diffraction, and the light should produce a predictable interference pattern, just like water waves do.
Diagram of the double-slit experiment with particles. Particles move through one of the two slits one at a time, forming two groups.

Figure 5.1
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The double-slit experiment with particles.

Diagram of the double-slit experiment with waves. Waves move through both slits at once, causing an interference pattern, and producing more than two peaks.

Figure 5.2
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The double-slit experiment with waves.

Young showed that light behaves like a wave and creates an interference pattern, which is a consequence of the superposition principle.

Sketch of Young’s results, showing that light behaved as if it was a wave.

Figure 5.3
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Young’s sketch showing the results of his double-slit experiment, 1803.

5.1.1 The superposition principle

The superposition principle shows that when two waves meet, a new wave is created that has an amplitude equal to the sum of the amplitudes of the two waves it is composed of. This means that if two waves are emitted in the same phase, then they create a wave that is twice their former amplitude, and waves that are out of phase by 180° will become flat.

Diagram showing that two waves of the same phase combine to produce waves of twice the amplitude. Waves that are completely out of phase, will cancel out, producing a flat line.

Figure 5.4
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The superposition of waves in (left) and out (right) of phase.

Once Young knew that light is made of waves, he was able to estimate the wavelengths of individual colours using data from English natural philosopher Isaac Newton.

5.2 Polarisation

In 1816, French engineer Augustin-Jean Fresnel proposed that light waves have a transverse as well as longitudinal component, and Young made the same discovery independently, the following year.[2] Young and Fresnel went on to explain Newton’s results in terms of their wave theory and, by 1821, they were able to show that light waves are entirely transverse. This allowed them to explain the behaviour Huygens had documented in calcite crystals[3] (discussed in Chapter 3).

Calcite crystals act as polarisers, a term coined by French mathematician Étienne-Louis Malus in about 1811, and this means that they only allow the ray to propagate in one plane, either horizontally or vertically.[4]

The horizontal component of a group of waves cannot travel through a vertically aligned polariser, and the vertical component cannot travel through a horizontally aligned polariser. When two crystals are placed next to each other, the light will only be able to travel through both if they are aligned the same way.

Diagram of an electromagnetic wave. This is composed of a magnetic wave and an electric wave, which are perpendicular to each other.

Figure 5.5
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An electromagnetic wave.

Diagram showing that unpolarised light, which moves in all directions, can be polarised. Only light that moves vertically can move though a vertical polariser.

Figure 5.6
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Vertical polarisation.

5.3 Electromagnetic radiation

People were able to study electricity in the laboratory for the first time in the early 1800s. Italian natural philosopher Alessandro Volta created the first electric cell in 1800. He achieved this by placing paper that had been soaked in salt-water between pieces of zinc and copper. This invoked a voltage, a difference in electrical energy between two points. By connecting many cells together, Volta was able to create a battery, known as a voltaic pile.[5]

Diagram of a voltaic pile made from layers of zinc and copper.

Figure 5.7
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Diagram of a voltaic pile.

Photograph of a voltaic pile attached to a voltmeter.

Figure 5.8
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A voltaic pile.

In 1831, British natural philosopher Michael Faraday discovered that if a magnet is moved across a copper wire, then this also creates a current. This is known as Faraday’s law of induction and it was soon utilised in the invention of the electric motor.[6]

Faraday discovered the Faraday effect in 1845. This shows that a magnetic field can cause a ray of polarised light to rotate, a horizontal ray will become vertical, and a vertical ray will become horizontal. This means that electricity, magnetism, and light must all be connected.[7]

In 1864, British natural philosopher James Clerk Maxwell combined Faraday’s law of induction with three other equations:[8] German mathematician Carl Friedrich Gauss’ two laws concerning electric and magnetic fields[9], and French natural philosopher Andre-Marie Ampere’s law relating magnetic fields to electric current.[10]

Maxwell used these equations to develop an electromagnetic wave equation. The velocity of this wave was calculated to be the same as the speed of light, and so Maxwell concluded that light is a form of electromagnetic radiation.

Maxwell proposed that light is a transverse wave composed of oscillating electric and magnetic fields. Maxwell’s equations predicted that light could have an infinite number of wavelengths, suggesting that light must exist at energies well beyond the visible spectrum.

5.3.1 The electromagnetic spectrum

British astronomer William Herschel had discovered infrared light in 1800. Herschel measured the temperature of different colours using prisms, and found that the temperature was highest just beyond the colour red.[11] German natural philosopher Johann Wilhelm Ritter predicted the existence of ultraviolet light in 1801, when he found that it reacts with silver chloride.[12]

The electromagnetic spectrum was completed by the end of the 19th century, with German physicist Heinrich Hertz demonstrating the existence of radio waves and microwaves by 1888,[13] German physicist Wilhelm Röntgen discovering X-rays in 1895,[14] and French chemist Paul Villard discovering gamma rays in 1900.[15]

By 1900, the light bulb, tram, and telephone had been invented, and the development of electrical transmission lines soon allowed the public to access electricity in their own homes.[16]

Painting of the first electric street lights in Berlin.

Figure 5.9
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‘First electric street lights in Berlin’, 1884 by Carl Saltzmann.

Diagram showing the wavelength and frequency of the electromagnetic spectrum from radio waves to gamma rays.

Figure 5.10
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The electromagnetic spectrum, where blue light has a shorter wavelength than red light.

5.4 The aether

Maxwell’s electromagnetic theory, like all previous theories of light, relied on the idea that space is filled with a substance known as the aether. The aether was thought to be a medium, like air or water, that allows light waves to travel through space. As the Earth moves through space, it moves through the aether, and the light of the Sun can be dragged forwards in its direction of travel, like sound in the wind.

Galileo’s relativity (discussed in Book I) showed that speeds are additive. This means that if you walk at speed v across the deck of a ship that is moving at speed u, then someone standing on the shore will measure your speed to be v + u. When light from the Sun is travelling in the same direction as the aether, we should measure its speed to be c + a, where a is the velocity of the aether. When light is travelling in the opposite direction to the aether, we should measure its speed to be c - a.

Diagram showing how the motion of the Earth would be affected by the aether. The Earth would move slower when travelling against the aether, and faster when moving with it, in the same way that a person can ride a bike faster when moving with, rather than against, the wind.

Figure 5.11
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The aether.

In 1887, American physicists Albert Michelson and Edward Morley devised an experiment that was precise enough to measure the difference in the speed of light as the Earth moves around the Sun.[17] To almost everyone’s surprise, they found that the speed of light moves at the same rate in all directions. This meant that there was no aether, and so no explanation for how light can travel through space. This was explained in the 20th Century, with the discovery of quantum mechanics (discussed in Chapter 8).

5.5 References

  1. Young, T., Philosophical Transactions of the Royal Society of London 1803, 94, 1–16.

  2. James, F. A., The British Journal for the History of Science 1984, 17, 47–60.

  3. Fresnel, A., Annals of Chemistry and Physics 1821, 17, 101–112.

  4. Jameson, D. M., Introduction to Fluorescence, Taylor & Francis, 2014.

  5. Volta, A., Proceedings of the Royal Society of London 1800, 1, 27–29.

  6. Faraday, M., Lancet 1831, 2, 246–248.

  7. Faraday, M., Philosophical Transactions of the Royal Society of London 1846, 136, 1–20.

  8. Maxwell, J. C., Proceedings of the Royal Society of London 1865, 13, 531–536.

  9. Gauss, C. F., Works, Vol 5, 627th, 1867.

  10. Ampere, A. M., Mémoires de l’Académie Royale des Sciences 1823, 6, 175–388.

  11. Herschel, W., Philosophical Transactions of the Royal Society of London 1800, 90, 437–538.

  12. Ritter, J. W., Widerhohlung der Rouppachen Versuche. Wien Mathemat-Naturew Klasse 1801, 79, 365–380.

  13. Hertz, H., Electrical waves 1888, 124–136.

  14. Röntgen, W. C., Science 1896, 3, 227–231.

  15. Villard, M. M., CR Acad. Sci. Paris 1900, 130, 1178.

  16. Simon, L., Dark Light: Electricity and Anxiety from the Telegraph to the X-Ray, Houghton Mifflin Harcourt, 2005.

  17. Michelson, A. A., Morley, E. W., Sidereal Messenger 1887, 6, 306–310.

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