Design criteria for hydrogen thyratrons operating at fast rates of current rise (

), high anode voltages (e
py), and high peak currents (i
b) have been theoretically and experimentally determined. The approach was to divide the investigation into two basic areas. The criteria for achieving high

were first established at relatively low voltages. Then the information necessary to incorporate features promoting high

into a high-voltage structure was determined. The principal factors affecting

are the tube\´s effective inductance, the nature and rate of the plasma growth, and the manner in which commutation is effected. The inductance depends on the tube\´s geometry and dimensions. Plasma growth is a function of geometry and gas pressure, and must be controlled in a way such that the tube is triggered and then commutates in the optimum manner for highest

. Rise rates of the order of a few times 10
12A/s are considered feasible for properly designed tubes operating with

kV and

kA. The criteria necessary for high di/dt are burdensome when high e
pyand high i
bare also required. A low-inductance, multigap structure is required, and command pulse charging must be used. The applied voltage is then distributed across the various gaps in a manner determined by the interstage capacitance and the stray capacitance to ground. Very high voltages are thus applied to the upper gaps and their corresponding insulators, and even higher voltages are impressed as the cascading process proceeds up the tube. Since low inductance requires short insulators, it is necessary that they be stressed well beyond the limits common to conventionally designed tubes. Values of e
pyin excess of several hundred kilovolts are shown to be feasible for tubes having inductances well below 100 nH. Theoretical and experimental results pertaining to both high di/dt and high e
pyare discussed, and the boundaries of the state of the art are drawn.