Session 7E - Space and Basic.
ORAL session, Thursday morning, November 14
Majestic Ballroom, Adam's Mark
By considering uniform emission of electrons over a finite strip of width w in a planar gap of gap separation D, we extend the classical 1-dimensional Child-Langmuir law to 2 dimensions. The analysis is done with the use of the simulation codes, MAGIC and OOPIC. The classical one-dimensional Child-Langmuir law is recovered when w >> D. Both cases of zero external magnetic field and large external magnetic field (immersed flows) are studied. Our preliminary results indicate that, for the case of zero magnetic field, R is a monotonically increasing function of W/D, approaching unity when W/D >> 1. Here R is the maximum current density on the emitting strip that would permit laminar flow behavior, expressed in units of the classical Child-Langmuir value.