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We present a new method to solve the Electric field scattered by a perfect electric conductor that is stable in low frequency and multiply connected geometries. The method is closely related to a previous method published by the authors and named Decoupled Potential Integral Equation, but it only requires the incoming electric field instead of the vector and scalar incoming potentials. The method...
In this paper we present a new formulation for the scattering of lossless homogeneous dielectrics that has no spurious resonances, is stable in low frequency and has no high-density mesh breakdown. The formulation is based on a single unknown vector function and a single unknown scalar function on the interface of the dielectrics. The scalar unknown is determined by using a redundant boundary condition...
In this paper we present a new formulation for the scattering of lossless homogeneous dielectrics that is stable in low frequency and has no high density mesh breakdown. The formulation is based on the standard Müller surface integral equation where the unknowns are both electric and magnetic currents on the boundary of the dielectric. We introduce two additional decoupled scalar problems that correspond...
In this paper we present a numerical implementation of the Decoupled Potential Integral Equation (DPIE) based on a high order locally corrected Nyström method. The DPIE formulation allows to describing the scattering electromagnetic field by a perfect electric conductor in a decoupled way. The scattered scalar potential φscat is obtained entirely from the incoming scalar potential φin, and the scattered...
In this paper we present a numerical implementation of the Decoupled Potential Integral Equation DPIE. The DPIE formulation allows to describe the scattered electromagnetic field by solving a boundary value problem for the vector and scalar potentials Ascat and øscat separately. The formulation allows to obtain the exact scattered electric and magnetic fields for any frequency ω ≥ 0. The formulation...
In this paper we present a low frequency integral formulation for the scattering of perfect electric conducting objects. The formulation is a first order approximation for low frequency and is based on the fact that the vector and scalar potentials are decoupled at zero frequency. In this regime we find suitable boundary conditions for the vector potential and for the scalar potential. We test the...
A novel Current and Charge Integral Equation is presented for perfect electric conductors. The equation is second kind and non-resonant. The explicit charge representation provides stability at low frequency. Complex shaped geometries with edges are simulated with accuracy.
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