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Calculations have been performed to determine the effect of surface roughness on the propagation of x rays through hollow capillaries. The analysis is based upon assuming an expression for the form of the power reflected from a single bounce of the light and then on obtaining the power in a waveguide by repeated application of this expression. Data from single reflection measurements on highly polished surfaces have been used to show that surface roughness should have little effect on wave propagation.
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Pantell et al. (1979) studied this question.
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