A study of breakdown delay in electrically pumped laser gases
When a steep-fronted voltage step is applied to the electrodes in a preionized gas, the high electric field in the cathode sheath, together with current continuity across the sheath causes preferential heating and pressure increase of the gas in the sheath region. The situation is somewhat analogous to that in a shock tube at the instant of diaphragm rupture. However, owing to the current, the cathode sheath goes unstable, forming filaments of hot gas from the sheath. Expressions are derived for the breakdown delay in the two extreme cases of high and low power deposited in the gas, in terms of four time constants, i.e. the relaxation time, the 'power time', being the time required for the electric power to raise the pressure level of the gas to ambient, the 'asperity time', i.e. the time taken by a sound wave to traverse a roughness element or asperity of the electrode surface, and the 'sheath time', being the time of the wave's traverse of the sheath thickness. It is shown that the theory is in substantial agreement with existing experimental findings, including those of the authors. It is further indicated to what extent the new theory goes beyond older concepts, namely in that not only thermoacoustic but also surface phenomena are taken into account.The history of gas laser development is illustrated graphically in the theoretical and experimental curves of breakdown delay vs. surface asperity and deposited energy.