Abstract
A new method has been developed for solving the integral equation which determines the slit function H(x) used for correcting small-angle scattering curves for the effects of the length of the collimating slits. With this technique the H(x) function has been calculated for the weighting function for the Beeman four-slit collimation system. The slit function has also been evaluated for a Gaussian weighting function and for a weighting function for which the intensity distribution in the detector plane has the form of a trapezoid. The slit functions for all of these weighting functions gave excellent results when employed to compute collimation corrections for several test functions. The slit functions also permitted a study of the sensitivity of the corrected intensity to changes in the form of the weighting function. The tests verified that, as has usually been assumed in the past, the corrected intensity is relatively intensitive to small changes in the weighting function.
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