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Accurate solution of electromagnetic (EM) problems with complex materials requires the formulation of volume integral equations (VIEs) in the integral equation approach. The VIEs are traditionally solved by the method of moments (MoM) with the Schaubert-Wilton-Glisson (SWG) basis function, but we propose a point-matching scheme which does not relies on any basis and testing functions and allows the...
The interaction of transient electromagnetic (EM) wave with objects can be formulated by the integral equation approach in time domain. For conducting objects or homogeneous penetrable objects, the time-domain surface integral equations (TDSIEs) can be applied. Traditionally, the TDSIEs are solved by the method of moments (MoM) in spatial domain and a march-on in time (MOT) scheme in temporal domain...
Lossy conductors are not perfectly electric conductors and their finite conductivity needs to be carefully accounted for in the accurate solution of electromagnetic problems. Traditionally, surface integral equations (SIEs) are used to approximately describe the problems, but we use volume integral equations (VIEs) to exactly formulate the problems by treating the lossy conductors as dielectric-like...
Accurate electromagnetic (EM) analysis for interconnect structures requires to consider the finite conductivity of involved conductors. The conductor loss could be accounted for through an approximate surface impedance when the skin depth of current is small. However, this approximation may not be valid for large skin depth caused by low frequencies or small conductivities. In this work, we treat...
The electromagnetic (EM) problems with conductive objects can be solved by surface integral equations (SIEs) with the method of moments (MoM) discretization in the integral equation approach. However, the solutions may not be valid for a wide range of frequency and conductivity. In this work, we use the volume integral equations (VIEs) to formulate the problem and propose a point-matching scheme to...
Electromagnetic (EM) radiation can be produced by mechanical excitation for certain elastic materials like piezoelectric material. The problem involves both electrodynamic and elastodynamic processes and the coupled Maxwell's equations and elastic wave equations are generally solved in their partial differential equation (PDE) form. In this work, we develop an integral equation approach for solving...
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