Abstract
Based on the self-sustaining condition of the discharge, a theoretical analysis was carried out in order to identify the minimum possible breakdown voltage. It is shown that a weak nonuniformity of the electric field in the discharge gap leads to an increase in the static breakdown voltage in comparison with the Paschen’s law. A strong nonuniformity of the field in diodes of coaxial and spherical geometry also cannot provide a decrease in the minimum breakdown voltage in comparison with the case of a plane-parallel gap. It is proved that of all symmetric geometries of a gas-filled diode, the planar geometry has the lowest breakdown voltage.
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