In the natural sciences, coherence or coherent radiation refers to electromagnetic waves that have a fixed phase relationship in terms of their spatial and temporal propagation. In everyday life, this theoretical, somewhat cumbersome definition applies to the light beam generated by a laser source.

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Laser machines emit extremely focused light beams. These run together in a straight line and show virtually no scattering. In contrast, there are conventional light sources that emit light waves scattered in all directions. With a laser beam, all light waves are the same color. This condition is also called monochromatism. During the movement of the light waves in a laser beam, they oscillate in perfect synchronization.

If you were to stand next to an electromagnetic wave consisting of several wave trains and let it pass by, the phase relationships of two wave trains would not change. They remain unchanged in the propagation direction of the wave.

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In everyday life, lasers are found in a wide variety of applications. Be it in a laser pointer, which is often used in presentations, in tools, or for reading optical storage media such as Blu-rays or CDs: The laser beam is indispensable in modern life.

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To explain coherence in more detail, first, we need to take a look at the laser beam. The “light amplification by stimulated emission of radiation” is a collective term from physics. The term laser denotes both the physical effect, i.e. the light beam and the corresponding device (laser machine, laser source).

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Laser light is electromagnetic waves that are coherent both temporally and spatially. Here, a fixed phase relationship can be seen in both the propagation and perpendicular direction. In laser light, the individual wave trains are very long, at the same time, the adjacent wave trains oscillate in a common mode.

The term coherence, derived from Latin, roughly means “connected." The term refers to specific properties of electromagnetic waves in physics. These waves have a fixed phase relationship between two wave trains. If this phase relationship remains constant, it is possible to generate a stable interference pattern.  With coherent light, a further distinction is made between temporal and spatial characteristics. Both characteristics can be well illustrated with a small thought pattern.

If there were a frame of reference for light and you were to place yourself in it (and connect the frame of reference with the electromagnetic wave) and look perpendicular to the wave, you would discover that the phase shifts between two waves do not change.

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Laser beams can be dangerous for humans depending on the light emitted. Therefore, laser machines are divided into different machine classes, whereby the classification is carried out by the respective manufacturer according to DIN EN 60825-1. Class 1 refers to lasers whose radiation is completely harmless. From class 2 onwards, serious damage to eyes and retina can occur if the laser beam is aimed directly at the eye and the duration of effect exceeds 0.25 seconds. Class 3B lasers are extremely dangerous to the eye and can even damage the skin. Finally, class 4 refers to machines whose lasers damage the eye extremely quickly and are also dangerous to the skin. In this type of class even scattered radiation is dangerous and can cause fires or explosions.

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An ordinary light source, e.g. a ceiling light, emits light that is composed of many individual wave trains. For all-natural light sources, the emitted wave trains are not coherent. The reason for this lies in the actual light sources: The atoms. If a single wave train is emitted in a light emission process, this takes around 0.0000000001 seconds. From this, the theoretical length of this wave train can be calculated: 3 meters. Now we go back to the atomic level and look at an atom that emits a wave train. We stand next to the path that the light travels and look at the first wave train passing us. At some point - this period of time is not defined - the atom emits the next wave train. This wave train also has “mountains” and “valleys”, which are in a well-established but completely arbitrary phase relationship with the first wave train. The same applies to all other emitted wave trains. For this reason, there is no fixed phase relationship between the individual wave trains emitted by an atom - it changes from wave train to wave train. In addition: ordinary light sources emit light with different wavelengths. For wave trains with different wavelengths, the phase difference changes naturally. And: Ordinary light does not radiate in a parallel, but in different directions.

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