Quadrupole Last-passage Algorithm for Charge Density on an L-shaped Conducting Surface

Abstract

The last-passage (LP) Monte Carlo algorithms for the charge density on an L-shaped conducting surface are further developed by deriving a quadrupole LP Green's function on the L-shaped flat surface. To demonstrate the algorithm, charge densities on an L-shaped conductor are computed in 3D space and it is found that these results agree very well with the ones from the Given-Hwang's original last-passage algorithm on a flat surface. Compared with the Given-Hwang's LP algorithm, the quadrupole LP one is very suitable for charge density near the L-shaped edge boundary.