Octupole Last‐Passage Algorithm for Charge Density on the Fichera‐Corner Conducting Surface

Abstract

AbstractIn a series of papers, it has been developing last‐passage algorithms such as last‐passage algorithm and off‐centered last‐passage algorithm on a flat conducting surface, quadrupole last‐passage algorithm on an L‐shaped conducting surface and so on, held at (non)constant potentials. In this paper, it further develops the last‐passage algorithms on the Fichera‐corner (cubic trihedral) conducting flat surface. To demonstrate the algorithm, it computes charge densities on the Fichera‐corner conducting surface in 3D space and finds that the 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 last‐passage algorithm, the octupole last‐passage one is very suitable for computing charge density near the corner of the Fichera‐corner conducting surface.