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

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<strong>New</strong> Trends <strong>in</strong> Physics Teach<strong>in</strong>g IV<br />

It can be shown that someth<strong>in</strong>g very like this pair of operations occurs <strong>in</strong> all image focus<strong>in</strong>g<br />

systems, whatever the radiation used, be it radar to see through fog, <strong>in</strong>fra-red radiation to see <strong>in</strong><br />

the dark, ultrasonic scann<strong>in</strong>g to see <strong>in</strong>side the human body, or X-ray crystallography to look at<br />

atoms. In a moment, we wil pick out just one or two examples to illustrate this theme. But,<br />

first, let us take a very elementary look at the theoretical aspect. We need to ask the question<br />

‘If the <strong>in</strong>formation is all there <strong>in</strong> the patch of figure 2, <strong>in</strong> what form does it exist?’. We shall<br />

exam<strong>in</strong>e first what would happen if the slide were illum<strong>in</strong>ated by parallel, monochromatic waves.<br />

Figure 3. Path differences for waves scattered from two po<strong>in</strong>ts A and B for various separations between A and B. In a, the po<strong>in</strong>ts<br />

are five wavelengths apart and <strong>in</strong> mov<strong>in</strong>g from P to Q on the screen, the path difference becomes half a wavelength. In b, the<br />

po<strong>in</strong>ts are two wavelengths apart and it is necessary to move from P to Q’ <strong>in</strong> order to make the path difference half a wavelength.<br />

In c, the po<strong>in</strong>ts are half a wavelength apart and even at 90’ to the orig<strong>in</strong>al direction the maximum path difference is clearly half a<br />

wavelength.<br />

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