The high brilliance of third generation synchrotrons makes the cooling of mirrors highly critical, but a careful matching between the critical energy $epsilon$-crit$/ of the insertion device - controlled by gap tuning - and the energy cut-off $epsilon$-cut$/ of the mirror allows us to lower the heat load considerably. A universal relationship between the absorbed power and the ratio $epsilon$-cut$//$epsilon$-crit$/ is derived numerically. The optical configuration of the beamline can be optimized by taking into account the competition between optical aberrations, figure errors, and the demagnification. An analytical expression of the optimal demagnification for high flux applications is given.
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