Self-inductance effects in linear flashtubes: an extension to the Markiewicz and Emmett theory

Many applications of flashtubes require a detailed knowledge of the current pulse profile in time. We have extended the standard theory of Markiewicz and Emmett to include the effects of the flashtube self-inductance and time derivatives of the flashtube self-inductance. These effects are important at early times when the discharge is spatially confined. Calculations show that these effects yield corrections to the flashtube and pulse-forming network model equations which are proportional to the square of the length of the flashtube and inversely proportional to the discharge radius. Growth of the flashtube discharge is treated with a model based on the total energy input to the flashtube. Considerably improved correspondence between the theory and experimental pulse profiles is obtained, particularly for large flashtubes and short times within the pulse.