Thermal analysis of the diamond compound refractive lens

Two dimensional compound refractive lenses (CRL) made out of single crystal diamond had been recently demonstrated [1, 2]. The use of compound refractive lens is inevitably associated with high x-ray absorption. One of the benefits of diamond as a material for CRL is its ability to withstand high instantaneous and average heat load. We used finite element method to simulate thermal effects in the lens. A steady state simulation is done for high average heat load conditions of ultimate storage rings. A time domain simulation is used for high peak power XFEL case. We compare diamond with beryllium, a common material for the CRL, and find that diamond temperature rise is less even though its x-ray absorption is higher.