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From the thickness of the Al postfilter and the tabulated absorption coefficients [29], we estimate that the transmission of the fundamental wavelength is reduced by a factor of about (Equation presented) while the SHG beam is reduced by a factor of about 7.
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Note that a fraction of the 3rd harmonic of the FEL is selected by the Si monochromator but is partially rejected by the focusing mirrors. We estimate that the 3rd harmonic contamination before the diamond crystal is smaller than (Equation presented). The (330) reflection of the diamond crystal is strictly forbidden in the bulk, but has a residual intensity due to surface truncation effects. However, we find the contribution from the 3rd harmonic counts to be insignificant.
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