Figure 1
Illustration of the direct integration method employed. The circle represents the collimation image on the detector within which the radiation detected at q originates (Miller et al., 1984). The ideal intensity is evaluated as a cubic (spline) polynomial with coefficients that vary depending on the interval. In this example, s has been divided into three intervals, corresponding to different angles θ. The first term in the integration in equation (11) starts from , corresponding to q-k, and extends to an angle that corresponds to . The next term is an integral between angles corresponding to and . The final term is an integral between angles corresponding to and , the latter of which makes an angle π. |