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

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

human be<strong>in</strong>gs s<strong>in</strong>ce we all use it. But it is also of special importance to scientists because one of<br />

their aims is to by-pass the more subjective elements and arrive at objective conclusions; this<br />

objectivity can only be achieved if we understand the nature of the subjective complications.<br />

This approach to optics thus fits <strong>in</strong> well with the notion that <strong>physics</strong> courses should be designed<br />

to be equally appeal<strong>in</strong>g to generalists and to budd<strong>in</strong>g scientists.<br />

Optics offers a f<strong>in</strong>e medium for br<strong>in</strong>g<strong>in</strong>g together a large number of apparently different<br />

topics and of demonstrat<strong>in</strong>g their <strong>in</strong>terconnections. A personal illustration wil perhaps make<br />

this po<strong>in</strong>t quite forcibly. Dur<strong>in</strong>g the second half of the Second World War I was work<strong>in</strong>g for the<br />

British Admiralty on the problem of radar jamm<strong>in</strong>g. This was the period when radar systems were<br />

mov<strong>in</strong>g to higher and higher frequencies and devices such as wave-guides and horns began to<br />

replace coaxial cables and arrays of di-poles as radiators. <strong>The</strong> problems were new, but I was able<br />

to come to terms with quite a few of them by us<strong>in</strong>g my knowledge of optics; wave guides with<br />

radiat<strong>in</strong>g slits were to me merely diffraction grat<strong>in</strong>gs; circularly polarized radiators were half<br />

wave plates and nicol prisms! Thus my optical knowledge helped me to talk quite sensibly with<br />

radio eng<strong>in</strong>eers and to make significant contributions. Later <strong>in</strong> life, I began to work on crystal<br />

structure determ<strong>in</strong>ation us<strong>in</strong>g X-ray diffraction and, here aga<strong>in</strong>, optics came to my aid; the<br />

recognition that the apparenly formidable computations of the crystallographer are merely do<strong>in</strong>g<br />

what a lens does for visible light gives powerful <strong>in</strong>sights <strong>in</strong>to the potential and limitations of the<br />

subject. F<strong>in</strong>ally, my experiences <strong>in</strong> experimental optics led to an appreciation of the mathematical<br />

processes underly<strong>in</strong>g a great deal of modern optics - namely Fourier Transformation - and this<br />

<strong>in</strong> turn stood me <strong>in</strong> good stead for understand<strong>in</strong>g problems <strong>in</strong> Musical Acoustics which <strong>in</strong>volve<br />

essentially the same mathematical processes.<br />

<strong>The</strong>re are many other arguments that could be brought to bear but I th<strong>in</strong>k, on balance, it is<br />

best to let the subsequent sections on the various possible topics speak for themselves. Let us<br />

start by look<strong>in</strong>g aga<strong>in</strong> at some of the key ideas that have provided the basis for modern optics.<br />

THE SEEDS ARE SOWN<br />

It is difficult to know where to start a historical excursion, but s<strong>in</strong>ce a good deal of my research<br />

life has been spent as a crystallographer I th<strong>in</strong>k I shall start <strong>in</strong> 1669 with the discovery by<br />

Barthol<strong>in</strong>us <strong>in</strong> Copenhagen of the phenomenon of double refraction <strong>in</strong> Iceland Spar. This rema<strong>in</strong>s<br />

for me one of the most fasc<strong>in</strong>at<strong>in</strong>g of natural phenomena and I keep a small crystal - picked up<br />

for a few francs <strong>in</strong> the flea market <strong>in</strong> Paris - on my desk for the sheer pleasure of see<strong>in</strong>g whenever<br />

I wish the remarkable doubl<strong>in</strong>g of the image. But, of course, it is very much a key discovery<br />

<strong>in</strong> piec<strong>in</strong>g together our ideas on the transverse nature of light - though these deductions did not<br />

follow till much later.<br />

My next milestone must, I th<strong>in</strong>k, be Grimaldi’s work on diffraction. He was only 45 when he<br />

died <strong>in</strong> Bologna and his major work was published <strong>in</strong> 1665 - two years after his death. His<br />

experiments resembled <strong>New</strong>ton’s experiments us<strong>in</strong>g a prism to analyze a beam of sunlight com<strong>in</strong>g<br />

through a shuttered w<strong>in</strong>dow <strong>in</strong>to its spectral components. But Grimaldi used only a p<strong>in</strong> hole or a<br />

slit <strong>in</strong> the shutter and observed that, as the hole was made smaller, or the slit narrower, the bright<br />

patch at first decreased <strong>in</strong> size but subsequently grew larger aga<strong>in</strong> and that the dark edges became<br />

coloured.<br />

<strong>New</strong>ton first published some of his ideas on light <strong>in</strong> 1672 but his major work - Opticks [3]<br />

did not appear till 1704. Fortunately, it is available <strong>in</strong> a modern repr<strong>in</strong>t form and well repays<br />

study. I can remember be<strong>in</strong>g guided to dip <strong>in</strong>to it by my <strong>physics</strong> teacher at school when I was<br />

only about 16 and be<strong>in</strong>g completely fasc<strong>in</strong>ated by the clarity and thoroughness of his descrip-<br />

229

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