  Dense Plasma Focus (DPF) is known to produce highly energetic ions, electrons
and plasma environment which can be used for breeding of short-lived isotopes,
plasma nanotechnology and other material processing applications. Commercial
utilization of DPF in such areas would need a design tool which can be deployed
in an automatic search for the best possible device configuration for a given
application. The recently revisited [S K H Auluck, Physics of Plasmas 20,
112501 (2013)] Gratton-Vargas (GV) two-dimensional analytical snowplow model of
plasma focus provides a numerical formula for dynamic inductance of a Mather
type plasma focus fitted to thousands of automated computations, which enables
construction of such design tool. This inductance formula is utilized in the
present work to explore global optimization, based on first-principles
optimality criteria, in a 4-dimensional parameter-subspace of the
zero-resistance GV model. The optimization process is shown to reproduce the
empirically observed constancy of the drive parameter over 8 decades in
capacitor bank energy. The optimized geometry of plasma focus normalized to
anode radius is shown to be independent of voltage, while the optimized anode
radius is shown to be related to capacitor bank inductance.
