Design of single mesh flashlamp driving circuits with resistive losses

The normalized nonlinear equation(dI/dτ) ± [α + β|I|1/2] + ∫min{0}max{τ}I dτ̄= 1describing current evolution in a single mesh flashlamp driving circuit has been solved using numerical methods for the case of a critically damped pulse (α 0.84) and β = r/Z₀ ≠ 0. Normalized current, power, and energy waveforms for values of β in the range0 ≤ β ≤ 0.5are obtained. The energy efficiency ηE, which is numerically equal to the flashlamp dissipated energy di-Vided by the energy stored in the driving circuit, is also shown as a function of β. Increased numerical accuracy has improved the previously used value of α for critical damping and leads to a slightly different form for the curve representing the locus of values (α β) to obtain critically damped pulses in the presence of restrictive losses.