The Reflection of X-Rays by Crystals as a Problem in the Reflection of Radiation by Parallel Planes

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Abstract
It is pointed out that the previous solutions of the problem of the reflection of radiation from parallel planes by Lamson and Gronwall are physically incorrect since the intensities, not the amplitudes, of contributions from individual planes, have been added. It is shown that a mathematical method due to Darwin leads to a solution identical mathematically with those of Lamson and Gronwall. Using this result, the intensity of reflection is evaluated for certain ranges of the constants directly related to the reflected and transmitted amplitudes due to a single plane.