A new analytical model, derived rigorously from scalar diffraction theory, accurately fits soft-x-ray measurements of symmetrical profile gold transmission gratings in all diffracted orders. The calibration system selects numerous photon energies by use of a high-resolution grazing-incidence monochromator and a dc <i>e</i>-beam source. Fine-period free-standing gratings exhibit limited performance and require such testing to determine parameters of and select acceptable gratings for use in time-resolved (0.25 ns) spectrographs of known radiometric response. Unfolded spectra yield a <i>Z</i>-pinch plasma peak kT ~250 eV, total radiated energy ~900 kJ, and a pinch-driven gold-wall hohlraum Planckian kT ~86 eV.
© 2004 Optical Society of America
Michael C. Hettrick, Michael E. Cuneo, John L. Porter, Larry E. Ruggles, Walter W. Simpson, Mark F. Vargas, and David F. Wenger, "Profiled Bar Transmission Gratings: Soft-X-Ray Calibration of New Kirchoff Solutions," Appl. Opt. 43, 3772-3796 (2004)