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Radiography in Modern Industry - Kodak

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usually requires somewhat more arithmetic but no equipment other than a diagram similar toFigure 54 and a ruler or straightedge.Graphical solutions of either type are often sufficiently accurate for the purposes of practical<strong>in</strong>dustrial radiography.Overlay MethodsAn example of a transparent overlay is shown <strong>in</strong> the Figure 50. The numbers on the horizontall<strong>in</strong>e are exposure values. They can be taken, for example to be milliampere-m<strong>in</strong>utes, milliampereseconds,curie-m<strong>in</strong>utes, curie-hours, or an exposure factor. Further, all numbers on the l<strong>in</strong>e canbe multiplied by the same value, without affect<strong>in</strong>g the use of the device. For <strong>in</strong>stance, multiply<strong>in</strong>gby 10 makes the scale go from 10 to 10,000 (rather than from 1 to 1,000) of whatever exposureunit is convenient. Note that the overlay must be made to fit the characteristic curves with which itis to be used, s<strong>in</strong>ce it is essential for the horizontal scales of both characteristic curves andoverlay to agree.The use of the overlay will be demonstrated by solv<strong>in</strong>g aga<strong>in</strong> some of the same problems used asillustrations <strong>in</strong> the forego<strong>in</strong>g section. Note that the vertical l<strong>in</strong>es on the overlay must be parallel tothe vertical l<strong>in</strong>es on the graph paper of the characteristic curve, and the horizontal l<strong>in</strong>e must beparallel to the horizontal l<strong>in</strong>es on the graph paper.Example 1: Suppose a radiograph made on Film Z with an exposure of 12 mA-m<strong>in</strong> has a densityof 0.8 <strong>in</strong> the region of maximum <strong>in</strong>terest. It is desired to <strong>in</strong>crease the density to 2.0 for the sake ofthe <strong>in</strong>creased contrast there available.Locate the <strong>in</strong>tersection of the l<strong>in</strong>e for the orig<strong>in</strong>al density of 0.8 with the characteristic curve ofFilm Z (Po<strong>in</strong>t A <strong>in</strong> Figure 51). Superimpose the transparent overlay on the curve, so that thevertical l<strong>in</strong>e for the orig<strong>in</strong>al exposure--12 mA-m<strong>in</strong>--passes through po<strong>in</strong>t A and the horizontal l<strong>in</strong>eoverlies the l<strong>in</strong>e for the desired f<strong>in</strong>al density of 2.0. The new exposure, 50 mA-m<strong>in</strong>, is read at the<strong>in</strong>tersection of the characteristic curve with the horizontal l<strong>in</strong>e of the overlay (Po<strong>in</strong>t B <strong>in</strong> Figure51).The method of solution would be the same if the new density were lower rather than higher thanthe old. The vertical l<strong>in</strong>e correspond<strong>in</strong>g to the old exposure would pass through the characteristiccurve at the po<strong>in</strong>t of the old density. The horizontal l<strong>in</strong>e of the overlay would pass through thedesired new density. The new exposure would be read at the <strong>in</strong>tersection of the characteristiccurve and the horizontal l<strong>in</strong>e of the overlay.<strong>Radiography</strong> <strong>in</strong> <strong>Modern</strong> <strong>Industry</strong> 74

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