Wave-optical theory of nanofocusing x-ray multilayer mirrors

We have derived a wave-optical model of curved nanofocusing x-ray multilayer mirrors used at synchrotron radiation sources, using a Takagi-Taupin-like approach. In a first approximation, the individual layers are assumed to be confocal elliptical. This assumption leads to a convenient spatial description in elliptical coordinates. As a first optimization, we study a rotation-like modification and compare numerical simulations to established results for planar multilayers.