The normalized nonlinear equation
![(dI/d\\tau ) \\pm [\\alpha + \\beta |I|^{1/2}] + \\int\\min{0}\\max {\\tau }I d\\bar{\\tau }= 1](/images/tex/15410.gif)
describing current evolution in a single mesh flashlamp driving circuit has been solved using numerical methods for the case of a critically damped pulse (

. Normalized current, power, and energy waveforms for values of β in the range

are obtained. The energy efficiency η
E, 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.