Asymptotic analysis of double-carrier, space-charge-limited transport in organic light-emitting diodes

by Sarah E. Feicht, Ory Schnitzer, and Aditya S. Khair

Proceedings AVolume 469(2158):20130263

October 8, 2013

©2013 by The Royal Society

Holes are injected through the anode with a flux j+, whereas electrons are injected through the cathode with a flux j−; the fluxes will be determined in the proceeding analysis.

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society

Asymptotic solutions for the electric field in the space-charge layer (dash), the intermediate layer (dash-dot) and in the bulk (dot) are compared with the numerical solution (open circles) of the

electric field in the anodic region () for ϵ=0.001 and V =50.

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society

Numerical solutions for the (a) hole density (circle) and (b) electron density (square) at ϵ=0.001 and V =50 are compared with asymptotic expressions for the hole and electron densities in the

space-charge layer (dash), intermediate layer (dash-dot) and bul...

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society

The asymptotic solutions (dash) for electric potential are compared to the numerical solution (symbols).

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society

The asymptotic expression for current (5.3) (line) are compared with the numerical results at ϵ=0.001 (circle), ϵ=0.005 (square) and ϵ=0.01 (triangle).

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society

The leading-order total recombination rate R=4kϵ2V 2 (line) is compared with the numerical solution of the drift–diffusion equations (circle) as a function of recombination rate constant k at

V =50 and ϵ=0.001.

Sarah E. Feicht et al. Proc. R. Soc. A 2013;469:20130263

©2013 by The Royal Society