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New trends in physics teaching, v.4; The ... - unesdoc - Unesco

New trends in physics teaching, v.4; The ... - unesdoc - Unesco

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Optics rega<strong>in</strong>ed<br />

image ifmis-<strong>in</strong>terpretation is to be avoided. (In figure 4 we saw that the restriction of the aperture<br />

could lead to a complete mis<strong>in</strong>terpretation of the number of holes <strong>in</strong> the central section.)<br />

<strong>The</strong> importance of the human element<br />

We see the world around us by us<strong>in</strong>g the eye-bra<strong>in</strong> system, and it has always amazed me that so<br />

often <strong>physics</strong> students wil learn about the eye as an optical system but will not be led to appreciate<br />

the real significance of its be<strong>in</strong>g attached to a bra<strong>in</strong>. Optical illusions are not merely curiosities<br />

with which to amaze and confound your friends; they are very important po<strong>in</strong>ters to the way<br />

<strong>in</strong> which we respond to our surround<strong>in</strong>gs and to the limitations that our human characteristics<br />

impose. This section merits a whole book to itself and I can only pick out one or two examples<br />

to illustrate the k<strong>in</strong>d of th<strong>in</strong>g I have <strong>in</strong> m<strong>in</strong>d.<br />

Most physicists are quite familiar with the idea of three-colour vision. Colour television is a<br />

permanent rem<strong>in</strong>der to us of its practical application. But colour is a very subjective phenomenon<br />

and our judgement about a colour depends on circumstances, on the nature of the illum<strong>in</strong>ation,<br />

on the surround<strong>in</strong>gs of the colour observed and on many other factors. For example, a piece of<br />

uniformly dyed yellow cloth which is held loosely so that it falls <strong>in</strong>to folds wil be recognized<br />

by any viewer as be<strong>in</strong>g of uniform colour. But if <strong>in</strong>vited to look aga<strong>in</strong> - for example with the<br />

eye of a pa<strong>in</strong>ter about to pa<strong>in</strong>t a picture of the cloth - the viewer will realize that the ret<strong>in</strong>al<br />

image of the cloth will be made up of an enormous number of different shades of yellow. What a<br />

remarkable process is performed by the bra<strong>in</strong> <strong>in</strong> not<strong>in</strong>g all these variations, <strong>in</strong> recogniz<strong>in</strong>g that<br />

they fit together <strong>in</strong> a way that corresponds to the <strong>in</strong>cidence of light on the cloth and to a valid<br />

system of folds and hence deduc<strong>in</strong>g that the colour is <strong>in</strong> fact uniform. One of my favourite<br />

illusions <strong>in</strong>volves a large sheet of card of uniform colour - grey is useful - which is covered<br />

entirely by another card with two square holes <strong>in</strong> it so that the viewer sees two square patches<br />

of grey separated from each other. <strong>The</strong> upper card is divided <strong>in</strong>to halves and each half coloured<br />

uniformly with a different colour, for example, yellow and blue. <strong>The</strong> viewer thus sees each patch<br />

of grey surrounded by a different colour and it is difficult to believe that the two patches are<br />

<strong>in</strong>deed the same grey. <strong>The</strong> effect of the surround<strong>in</strong>gs <strong>in</strong> determ<strong>in</strong><strong>in</strong>g the colour is very powerful.<br />

F<strong>in</strong>ally <strong>in</strong> discuss<strong>in</strong>g colour we might mention an effect that sometimes baffles amateur<br />

photographers. Suppose a close-up portrait is be<strong>in</strong>g taken; the photographer wil carefully choose<br />

the background, but very often wil ignore surround<strong>in</strong>gs that are outside the field of view. But if,<br />

for example, there is a red brick wall at one side of the subject, a warm red glow may be reflected<br />

on to the face. In the live situation, as the photograph is taken, the glow is ignored because the<br />

eye-bra<strong>in</strong> system sees the wall and makes suitable compensation; but when the colour photograph<br />

is pr<strong>in</strong>ted the photographer cannot understand why the subject has such a red face.<br />

We take very much for granted the ideas of perspective and happily draw pictures us<strong>in</strong>g the<br />

pr<strong>in</strong>ciple that parallel l<strong>in</strong>es (roads, edges of build<strong>in</strong>gs, etc) wil meet at a po<strong>in</strong>t on the horizon.<br />

But how often do we realize that a considerable amount of bra<strong>in</strong> process<strong>in</strong>g is <strong>in</strong>volved <strong>in</strong><br />

recogniz<strong>in</strong>g that the l<strong>in</strong>es on a flat piece of paper represent a three-dimensional object. Professor<br />

Richard Gregory tells of a bl<strong>in</strong>d acqua<strong>in</strong>tance of his who, as a result of an operation, had his<br />

sight restored <strong>in</strong> later life. This man was unable to appreciate many of the common optical<br />

illusions and had to learn from scratch how to relate images on the ret<strong>in</strong>a with three-dimensional<br />

objects <strong>in</strong> the surround<strong>in</strong>g world.<br />

F<strong>in</strong>ally, <strong>in</strong> this very brief section it is worth rem<strong>in</strong>d<strong>in</strong>g physicists from time to time that we<br />

have a built <strong>in</strong> tendency to see what we want to see. Most people wil have had the experience<br />

of read<strong>in</strong>g an article <strong>in</strong> which there are mispr<strong>in</strong>ts and, if the article is sufficiently absorb<strong>in</strong>g, not<br />

notic<strong>in</strong>g the errors. Another reader perhaps less <strong>in</strong>terested <strong>in</strong> the topic wil spot the errrors<br />

<strong>in</strong>stantly .<br />

247

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