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Mirages

Mirages (color insert, Figures 27a, b, c) are examples of atmospheric phenomena in which air refracts light enough essentially to produce reflections. Other refraction phenomena include the flattened sun (color insert, Figure 27d), the green flash (color insert, Figure 27e), the paper-lantern sun (color insert, Figure 27f), and twinkling of distant lights. These are all puzzling phenomena because they are different from what we know about reality: There is no water in the middle of the desert, the sun really is round rather than flattened, its light is white rather than green, and it is continuous rather than irregular or interrupted. Distant lights, such as stars, do not turn on and off. How could these phenomena happen? In this entry, refraction by air and mirages will be covered.

Figure 1 Illustrations of Geometry of Various Refraction Phenomena

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Notes: Paths of light are shown as dotted-and-dashed lines. Visual directions are shown as dashed lines. The amount of refraction is greatly magnified. (a) How the sun is geometrically below the horizon when it appears to be touching the horizon. Light from the sun curves down toward the denser air near the earth. (b) An inferior mirage: The normal concave path of light through the atmosphere becomes convex in hotter, less dense air, for example above a desert or roadway. Rays of light that pass through more of this gradient of density are refracted more, essentially yielding reflection of an inverted image below the erect image. (c) A superior mirage: Light from deeper in a gradient of cold, dense air is refracted more than light from higher in that air, essentially yielding reflection of an inverted image above the erect image.

Refraction by Air

Although light travels in straight paths through a constant medium, because the atmosphere is not uniform, light refracts to travel in curved paths. Air is generally denser near the earth's surface; light rays bend toward denser air. One consequence is that when an observer sees the sun just touching the horizon, the geometrical position of the sun is below the horizon (Figure 1a). The apparent direction of an object is determined by the angle that light rays enter the eye, rather than by the object's geometrical position.

If the observer watches the sun carefully as it sets, he or she could see two other refraction phenomena: First, the sun appears flattened (color insert, Figure 27d). Its upper part looks approximately hemicircular, but its lower half is compressed vertically. This is a consequence of the greater refraction of light from the part of the sun lower in the atmosphere; it sends light into the eye at relatively constant angles. Second, when the sun had almost completely disappeared below the horizon, the remaining sliver would appear green, then blue: the green flash (color insert, Figure 27e) and the blue flash. This is because shorter wavelengths, which appear green and blue, are refracted more by the atmosphere; the longer wavelengths, which appear red and yellow, are refracted less, so are blocked from the eye by the curve of the earth.

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