Development of sources for heavy ion fusion motivates study of diode current transients. For the one-dimensional problem a unique applied voltage eliminates transients in the space-charge-dominated case:V(t)=V[4/3 (t/τ)−1/3 (t/τ)4] for t<τ, V(t)=V for t≥τ, where L is diode length, V is steady state diode potential, q/m is charge to mass ratio, and τ=3L(m/2qV)1/2 is a particle transit time through the diode. We derive this result and compare it to computer simulations and experimental results.
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Lampel et al. (1983) studied this question.
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