Title:
New Single-Source Surface Integral Equations for Scattering on Penetrable Cylinders and Current Flow Modelling in Two Dimensional Conductors
Date:
Friday, November 2, 2012 at 11:15am
Location:
E1-270 EITC, University of Manitoba Fort Garry Campus
Speaker:
Mr. Anton Menshov
Department of Electrical and Computer Engineering
University of Manitoba
Abstract:
The Volume Electric Field Integral Equation (V-EFIE) has been widely used in computational electromagnetics for rigorous solution of the Maxwell’s equations in both quasi-static (extraction of per-unit-length and terminal characteristics of the transmission lines) and full-wave regimes (scattering problems on penetrable scatterers). The key ability of the V-EFIE to rigorously describe the wave phenomena in the presence of material inhomogeneities is generally plagued by a large computational complexity. However, when the scatterer is homogeneous, it is common to utilize the surface integral formulation instead that greatly reduces the computational complexity confining the unknown field quantities to the boundaries. The traditional surface integral equations have two unknown functions, tangential electric and magnetic fields, on the boundary of material domains. Alternatively, several single-source surface integral equation formulations have been introduced that utilize only a single unknown current density at the material boundaries. These formulations though come at a price of having a large number of independent kernels as well as their products making the numerical solutions difficult.
In this talk I will describe our work in the formulation of the new single-source surface integral equation that features a global surface impedance boundary condition as well as a product of volume and surface integral operators. Our approach is based on representation of the electric field in the cylinder cross-section in the form of a single-layer ansatz. The latter represents the electric field in the cylinder cross-section via an auxiliary surface current density on the cylinder’s boundary. Since the new formulation enforces exactly the field continuity at the material interfaces, the radiation condition as well as Helmholtz equation, it is rigorously equivalent to the solution of Maxwell’s equations. In the talk I will present the formulation for both current flow modeling and scattering on penetrable cylinders in 2D as well as numerous numerical examples, showing the error-controllable field approximation and benefits in comparison to traditional formulations.
Speaker Bio:
Anton Menshov was born in Kovrov, Russia in 1988. He received the B.S. degree in automatics and management in 2010 from the Moscow Institute of Electronic Technology, Moscow, Russia. He is currently pursuing the M.Sc. degree in electrical and computer engineering at the University of Manitoba, Winnipeg, Canada. His current research interests are in computational electromagnetics with applications to characterization of multi-conductor transmission lines and full-wave scattering problems.
Cost:
This will be a free event.
Contact:
For questions or more information: Puyan Mojabi 474 6754.
