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Radiography in Modern Industry - Kodak

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Relative ExposureLog RelativeExposure1 0.05 0.702 0.3010 1.0030 1.48150 2.18Interval <strong>in</strong> Log RelativeExposure0.700.700.70This illustrates another useful property of the logarithmic scale. Figure 43 shows that theantilogarithm of 0.70 is 5, which is the ratio of each pair of exposures. Hence, to f<strong>in</strong>d the ratio ofany pair of exposures, it is necessary only to f<strong>in</strong>d the antilog of the log E (logarithm of relativeexposure) <strong>in</strong>terval between them. Conversely, the log exposure <strong>in</strong>terval between any twoexposures is determ<strong>in</strong>ed by f<strong>in</strong>d<strong>in</strong>g the logarithm of their ratio.Figure 47: Characteristic curves of three typical x-ray films, exposed between lead foilscreens.As Figure 47 shows, the slope (or steepness) of the characteristic curves is cont<strong>in</strong>uouslychang<strong>in</strong>g throughout the length of the curves. The effects of this change of slope on detailvisibility are more completely expla<strong>in</strong>ed <strong>in</strong> "The Characteristic Curve". It will suffice at this po<strong>in</strong>t togive a qualitative outl<strong>in</strong>e of these effects. For example, two slightly different thicknesses <strong>in</strong> theobject radiographed transmit slightly different exposures to the film. These two exposures have acerta<strong>in</strong> small log E <strong>in</strong>terval between them, that is, have a certa<strong>in</strong> ratio. The difference <strong>in</strong> thedensities correspond<strong>in</strong>g to the two exposures depends on just where on the characteristic curvethey fall, and the steeper the slope of the curve, the greater is this density difference. Forexample, the curve of Film Z (See Figure 47), is steepest <strong>in</strong> its middle portion. This means that acerta<strong>in</strong> log E <strong>in</strong>terval <strong>in</strong> the middle of the curve corresponds to a greater density difference thanthe same log E <strong>in</strong>terval at either end of the curve. In other words, the film contrast is greatest<strong>Radiography</strong> <strong>in</strong> <strong>Modern</strong> <strong>Industry</strong> 70

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