Numerous optical illusions are produced by the refraction (bending) of light as it passes through one substance to another in which the speed of light is significantly different. A ray of light passing from one transparent medium (air) to another (water) is bent as it emerges. Thus, the pencil standing in water seems broken at the surface where the air and water meet; in the same way, a partially submerged log in the water of a swamp gives the illusion of being bent.

Rainbows also result from refraction. As the sun’s rays pass through rain, the droplets separate (refract) the white light into its component colours. As rays of white light from any source pass through a prism, they are refracted to give the appearance of a spectrum of colour, as in the rainbow of a summer morning. Another illusion that depends on atmospheric conditions is a mirage, in which, for example, the vision of a pool of water is created by light passing through layers of air above the heated surface of a highway. In effect, cooler layers of air refract the sun’s rays at different angles than do less-dense strata of heated air, giving the appearance of water where there is none; nearby objects may even appear to be reflected in it. Under certain conditions, elaborate mirages that look like cities, forests, or “unidentified flying objects” may appear on the horizon, or ships in a nearby body of water may appear to be plying the sky of a desert.

Visual perceptual illusions

When an observer is confronted with a visual assortment of dots, the brain may group the dots that “belong together.” These groupings are made on the basis of such things as observed similarity (e.g., red versus black dots), proximity, common direction of movement, perceptual set (the way one is expecting to see things grouped), and extrapolation (one’s estimate of what will happen based on an extension of what is now happening).

Closure (a term used in Gestalt psychology) is the illusion of seeing an incomplete stimulus as though it were whole. Thus, one unconsciously tends to complete (close) a triangle or a square that has a gap in one of its sides. While a person watches a movie, closure occurs to fill the intervals between what are really rapidly projected still pictures—giving the illusion of uninterrupted motion.

The “figure-ground” illusion is commonly experienced when one gazes at the illustration of a white vase, the outline of which is created by two black profiles. At any moment, one will be able to see either the white vase (in the centre area) as “figure” or the black profiles on each side (in which case the white is seen as “ground”). The fluctuations of figure and ground may occur even without conscious effort. Seeing one aspect usually excludes seeing the other.

Another example of ambiguity and object reversibility is the Necker cube, which may seem to flip-flop. Some studies have suggested that younger people tend to perceive these reversals more readily than do their elders.

The Müller-Lyer illusion is based on the Gestalt principles of convergence and divergence: the lines at the sides seem to lead the eye either inward or outward to create a false impression of length. The Poggendorff illusion depends on the steepness of the intersecting lines. As obliqueness is decreased, the illusion becomes less compelling. In the Zöllner illusion, the cross-hatching disturbs the perception of parallel lines. A figure seen touching converging lines, as in the Ponzo illusion, seems larger than another figure of the same size placed between the lines where they are farther apart. In a related experience, linear perspective creates the illusion that parallel lines or contours (such as railroad tracks) converge as they recede from the viewer.

In studies of visual verticality, experimenters investigated the conditions that determine perception of the “upright.” A tilted chair that could be mechanically controlled by the subject was placed in a slanted room containing visual indicators of verticals and horizontals. When various persons were asked to sit in the chair and align themselves in a vertical position, some of the subjects aligned themselves with the “true vertical” determined by gravity, while others experienced the illusion of verticality by aligning themselves with the visual directions they saw in the slanted room. Closing the eyes made “true” alignment easier.

Staring at a single bright spot in an otherwise darkened room creates the illusion that the stationary light is moving (autokinetic effect). One theory to account for this is that the impression is caused by minute eye movements of the observer. The so-called phi phenomenon is an illusion of movement that arises when stationary objects—light bulbs, for example—are placed side by side and illuminated rapidly one after another. The effect is frequently used on theatre marquees to give the impression of moving lights.

Perhaps the best real-life example of a perceptual illusion is the Moon illusion. When the Moon is at the horizon, it appears to be much larger than it does when it is high in the sky. Yet when the Moon is photographed at various points across the sky, all the images on the negatives are the same size. Considerable debate surrounds the source of the Moon illusion. Some explanations have attributed it to the paradoxical idea that the Moon at the horizon seems larger because the brain perceives it as being farther away than the Moon at the sky’s zenith. Another explanation is that the lack of distance cues in the night sky causes the eyes to adjust to a near-focus position, which makes the high Moon appear smaller.