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The fabrication and the fundamental study of a repetitive nanosecond x-ray generator having a sealed field emission x-ray tube is described. A compact Marx generator storing 12 Joules directly drives a field emission tube with voltage pulses > 380 kV and with < 4 nanosecond risetime from an equivalent generator-impedance of 52 Ω. A numerical model is used in which the x-ray tube's cathode width and anode-cathode gap (AK) spacing are permitted to change with time while electron flow between the cathode and anode is space-charge-limited (SCL) and nonrelativistic. Coupling this model to an equivalent circuit representation of the Marx generator, which includes the voltage variation of the BaTiO3 Marx capacitors, an estimation of the cathode current, anode-cathode potential and the x-ray spectrum was obtained and compared with measured values.
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Craig Nelson Boyer, Glenn E. Holland, John F. Seely, "Intense source of nanosecond duration 10-KeV to 250-KeV x rays," Proc. SPIE 4781, Advances in Laboratory-Based X-Ray Sources and Optics III, (23 October 2002); https://doi.org/10.1117/12.450967