抄録
The Lampert-Rose one-dimensional theory of double injection is extended to two dimensions so as to facilitate comparison with experiment. The two-dimensional theory is carried out for cylindrical and infinite-slab cross-sections. Making the assumption that the transverse current flow is purely diffusive, the earlier, one-dimensional result of Lampert and Rose is recovered, namely J=(9⁄8)eμeμpτeff(nT-pT)V2⁄L3, where their pure bulk lifetime τ is replaced by an effective lifetime τeff which takes into account the effect of surface, as well as bulk, lifetime. Explicit formulae are presented for τeff The results for the infinite slab are compared to the earlier results of Shockley for the low-injection level, purely diffusive flow of injected carriers.
