![]() The two aspects of the grating intensity relationship can be illustrated by the diffraction from five slits. ![]() Such a multiple-slit is called a diffraction grating. (1) This is the well-known Grating Equation. Natural diffraction gratings also occur in the feathers of certain birds such as the hummingbird. Often gratings are described by the frequency of grating lines instead of the period, where f (in lines/mm) is equal to 106/ (for in nm). ![]() For a given angle of incidence,, it gives the angle of diffraction m for each order m for which a solution to (1) exists. When you have 600 slits, the maxima are very sharp and bright and permit high-resolution separation of the maxima for different wavelengths. Since AB sin m and A’B’ sin, where is the grating period and m and are the angles of diffraction and incidence, respectively, relative to the surface normal, the condition for constructive interference is The Grating Equation. Diffraction gratings work both for transmission of light, as in Figure 4.14, and for reflection of light, as on butterfly wings and the Australian opal in Figure 4.15. (1) This is the well-known Grating Equation. If a 1 mm diameter laser beamstrikes a 600 line/mm grating, then it covers 600 slits and the resulting line intensity is 90,000 x that of a double slit.Īs the intensity increases, the diffraction maximum becomes narrower as well as more intense. Increasing the number of slits not only makes the diffraction maximum sharper, but also much more intense. The grating intensity expression gives a peak intensity which is proportional to the square of the number of slits illuminated. Diffraction Grating Intensities Grating Intensity Comparison
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