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Spectrograph is an optical device that is used to disperse photons ofdifferent energies $E$ into distinct directions and space locations, and totake a snapshot of the whole spectrum of photon energies with a spatiallysensitive photon detector. Substantial advantage of a spectrograph over anordinary spectral analyzer, is its ability to deal with many photon energiessimultaneously, thus reducing exposure time per spectrum considerably. Torealize a spectrograph, dispersing elements with large angular dispersion rateare required. Here we show, on the example of CDW x-ray optics [1-3], thatmulti-crystal arrangements may feature cumulative angular dispersion rates morethan an order of magnitude larger than those attainable in single Braggreflections. This makes, first, hard x-ray spectrographs feasible, and,secondly, a resolving power beyond $E/\Delta E \gtrsim 10^{8}$ achievable.

Enhanced X-Ray Angular Dispersion and X-ray Spectrographs with Resolving Power Beyond 10$^{8}$