Generalized integral formulation of electromagnetic Cartesian multipole moments

Relation of Cartesian and spherical multipole moments in general relativity

The Earth’s gravitational field is represented by its multipole moments. Multipole moments have two kinds of equivalent forms, that is, the Cartesian symmetric and tracefree tensors and the spherical harmonic coefficients. The relation between these two forms is interesting and useful for some practical problems. Under Newtonian approximation, there exists a simple relation between the aforesai...

The fast multipole method for the symmetric boundary integral formulation

A symmetric Galerkin boundary-element method is used for the solution of boundary-value problems with mixed boundary conditions of Dirichlet and Neumann type. As a model problem we consider the Laplace equation. When an iterative scheme is employed for solving the resulting linear system, the discrete boundary integral operators are realized by the fast multipole method. While the single-layer ...

Multipole Moments In

This paper contains discussion of the problem of motion of extended e.g. non point test bodies in multidimensional space. Extended bodies are described in terms of so called multipole moments. Using approximated form of equations of motion for extended bodies deviation from geodesic motion is derived. Results are applied to special form of space-time. PACS number(s): 04.25.-g, 04.50.+h, 11.25.Mj

Generalized KVL-KCL Formulation for Coupled Electromagnetic-Circuit Simulation with Surface Integral Equations

In this paper, a new formulation for coupled electromagnetic-circuit simulation is presented. The formulation employs full-wave integral equations to model the electromagnetic (EM) behavior of 2D or 3D structures while using modified nodal analysis (MNA) to model circuit interactions. A coupling scheme based on charge and current continuity and potential matching, realized as a generalization o...

Multipole Moments of Static Spacetimes