Imaging of x-rays with energies >15 keV is a necessity for several applications in high-energy density physics experiments. Multilayer-coated, Wolter-type glancing-incidence optics offer higher collection efficiency than pinhole cameras or Kirkpatrick-Baez style mirrors, and can achieve spatial resolution of 10-100um over 1-8 mm fields of view with throughput ~ 1-10%. Designing the multilayer coating is a complex optimization problem, involving multiple tradeoffs. A narrow energy bandwidth (~1keV) is desirable to exclude background, but a broad angular acceptance is desirable for the optic to image a large field (~1-8 mm). A Wolter optic’s net reflectivity is two-bounce R2 = R1*R2 for a wide range of pairs of incidence angles θ1, θ 2. In addition, the multilayer coating can be modified in several ways, such as varying the period thickness through the stack, and along the length of the optic. Parallelized searches using ordinary gradient-descent and Markov-Chain Monte Carlo (MCMC) have been applied to design an optic to image Z-pinch plasmas on the Z Machine at Sandia National Laboratories. Methods are tested to design an appropriate cost function for this search, and to reduce computational cost to search the parameter space efficiently.
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