Cloth and feathers, which are both made up of many smaller, thinner parts, produce complicated diffraction patterns. Light that passes around the hair spreads out, overlaps, and produces a diffraction pattern. Thin objects, such as a strand of hair, also diffract light. In fact, the angle between two adjacent dark bands in the diffraction pattern is inversely proportional to the width of the slit. The narrower the slit, the more the light spreads out. This different amount of bending gives the blobs their colored edges: blue on the inside, red on the outside. Red light, for instance, has a longer wavelength than blue light, so it bends more than blue light does. The angle at which the light bends is proportional to the wavelength of the light. Where the trough of one wave overlaps with the crest of another wave, the waves cancel each other out, and you see a dark band. Where the crest of one wave overlaps with the crest of another wave, the two waves combine to make a bigger wave, and you see a bright blob of light. The light waves that go through the slit spread out, overlap, and add together, producing the diffraction pattern you see. The black bands between the blobs of light show that a wave is associated with the light. Rotate each object while you look through it. A versatile program developed at The Aerospace Corporation for calculation of Fresnel integrals has been used for comparison. Look at the light through a piece of cloth, a feather, a diffraction grating, or a piece of metal screen. Rotate the hair and watch the line of blobs rotate. Move the hair until it is between your eye and the light source, and notice that the light is spread into a line of blobs by the hair, just as it was by the slit. Stretch a hair tight and hold it about 1 inch (2.5 cm) from your eye. Notice that the blobs have blue and red edges and that the blue edges are closer to the light source. Figure 1: Single slit diffraction when a wave passes through an aperture with width smaller than the. As you squeeze the slit together, the blobs of light grow larger and spread apart, moving away from the central light source and becoming easier to see. Wave scattering as it passes through a thin slit. If you look closely you may see that the line is composed of tiny blobs of light. While looking through the slit, rotate the pencils until they are horizontal, and notice that the line of light becomes vertical. Notice that there is a line of light perpendicular to the slit. Squeeze the pencils together, making the slit smaller. Hold both pencils close to one eye (about 1 inch away) and look at the light source through the slit between the pencils. The tape wrapped around one pencil should keep the pencils slightly apart, forming a thin slit between them, just below the tape. Hold up the two pencils, side by side, with the erasers at the top. This makes the diffraction grating like a "super prism".Place the light on a stable surface at least one arm’s length away from you. Since the positions of the peaks depends upon the wavelength of the light, this gives high resolution in the separation of wavelengths. This gives very narrow and very high intensity peaks that are separated widely. This progresses toward the diffraction grating, with a large number of extremely narrow slits. The progression to a larger number of slits shows a pattern of narrowing the high intensity peaks and a relative increase in their peak intensity. The multiple slit interference typically involves smaller spatial dimensions, and therefore produces light and dark bands superimposed upon the single slit diffraction pattern. The multiple slit arrangement is presumed to be constructed from a number of identical slits, each of which provides light distributed according to the single slit diffraction expression. Under the Fraunhofer conditions, the light curve (intensity vs position) is obtained by multiplying the multiple slit interference expression times the single slit diffraction expression. Single Slit Diffraction Diffraction may be thought of as the spreading out of waves as they pass through or by an aperture or edge. The shape or "envelope" of this light curve will serve to set limiting intensities for multiple slit arrangements, assuming that all the slits are identical. The narrower the slit, the broader the peaks of light. Under the Fraunhofer conditions, a single slit will exhibit a light curve following the single slit diffraction intensity expression. Multiple Slit Diffraction Single Slit Diffraction
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