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We present a discontinuous Galerkin augmented electric filed integral equation, hereafter referred to as AEFIE-DG, for low-frequency electromagnetic analysis. This augmented equation is obtained by combining the discontinuous (DG) electric field integral equation (EFIE) with the current continuity equation. Surface and line charges, which reside respectively on the discretization elements and their...
A novel approach, entitled the reverse operation self-consistent evaluation (R.O.S.E.), is proposed to compute the singular terms in the integral equation discontinuous Galerkin (IEDG) formulation. Based on the equivalent principle theory, a set of self-consistent equations are constructed to relate the source currents and the corresponding fields. Subsequently, local plane waves are chosen for the...
A new non-conformal domain decomposition scheme combined with synthetic basis functions is proposed in this work. The use of discontinuous Galerkin (DG) in the domain decomposition allows conformal as well as non-conformal discretizations of domain boundaries. Synthetic basis functions are adpoted to reduce the number of unknowns in the non-conformal mesh. Numerical examples validate the accuracy...
In this paper, by extracting the infinitely large term in the entries of the impedance matrices associated with the surface integral equations (SIE), an intuitive formulation of discontinuous Galerkin surface integral equation method is obtained. Non-overlapping trial and test functions defined on triangles are employed without requirement of the surface current continuity across their internal boundary...
In this paper, a hybrid method of generalized transition matrix (GTM) and local physical optics (PO) is proposed. The GTM of a scatterer is defined uniquely to describe the relationship between the out-going fields and the incident fields on a specified reference surface. The PO algorithm is applied to obtain current distribution on the electrically large platform. Due to the locality principle, Fresnel...
This paper presents a numerical method to evaluate the electromagnetic scattering from arbitrarily shaped three-dimensional inhomogeneous bianisotropic bodies by using a generalized transition matrix. A generalized transition matrix defined on the reference surface containing the scatterer describes the relationships between the rotated tangential components of incident fields and the rotated tangential...
In this note, a singularity extraction formulation is presented for numerical evaluation of integrals which exist in the moment method analysis of scattering from a conducting body of revolution. By using the proposed scheme, the integrals reach convergence more quickly, especially for sections near the symmetric axis.
In this paper, the electromagnetic scattering of chiral body is analyzed by the newly developed generalized transition matrix (GTM). The scattering characteristics of a chiral body is represented as a GTM which describes the relationship between incident fields and scattered fields on a reference surface. The chiral body's scattered fields which are previously calculated by the method of mements (MoM)...
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