Abstract
In the preceding chapters, we have described quantitatively the propagation of radiation from its source to a receiver using two quantities, usually the refractive index n and the extinction coefficient k. Within a qualitative description, the phenomena related to diffuse reflection and scattering were also considered. Both play an important role in optics. They lead us to the concept of a light beam and its graphical representation using ‘light rays’ drawn as straight lines. Diffuse reflection and scattering allow objects that themselves do not emit light to become visible as “secondary emitters”. The treatment of some important diffraction and interference phenomena is based upon them. Scattering allows us to identify polarized light through its asymmetry (Fig. 24.4).
These examples however by no means exhaust the significance of scattering. Scattering leads to a whole series of other important insights, for example in connection with refraction and dispersion (Chap. 27). This is why we want to treat the topic of scattering more comprehensively in this chapter.
The fundamental aspects of scattering have already been illustrated by demonstration experiments in earlier chapters. Their qualitative interpretation makes use of the analogy to water waves: An obstacle which is small compared to the wavelength, e.g. a rod, is encountered by a wave train. The obstacle then becomes the source of a new, “secondary” wave train which propagates in all directions away from it (Vol. 1, Fig. 12.17).
Notes
- 1.
The analogous forced oscillation of an RLC circuit (tank circuit) was also described in Sect. 11.7.
- 2.
The average spacing of the molecules is in fact small compared to the wavelength (near the earth’s surface, it is about \(3\cdot 10^{-9}\) m); but the large local thermal density fluctuations in gases act to eliminate phase relations between the secondary rays from individual molecules. This can be shown quantitatively.C26.7 Liquids are less compressible than gases and vapors. Their thermal motions therefore produce much smaller statistically-distributed density fluctuations than in gases and vapors. As a result, light scattering by liquids is relatively weak. To demonstrate it clearly, we first have to remove all suspended particles from the liquid by distillation in vacuum. For demonstration experiments, benzene or diethyl ether are suitable; in both, light scattering can be observed using red-filter light. The local density fluctuations in solids are even smaller than in liquids. In a block of good-quality optical glass with polished faces, the scattering cone can still be readily observed. A similar block of crystalline quartz has to be heated to several hundred ℃ to make the scattering visible.
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Lüders, K., Pohl, R.O. (2018). Scattering. In: Lüders, K., Pohl, R. (eds) Pohl's Introduction to Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-50269-4_26
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DOI: https://doi.org/10.1007/978-3-319-50269-4_26
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