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Transient electromagnetic (EM) scattering by conducting-dielectric objects is formulated by time-domain electric field integral equations (TDEFIEs). The TDEFIEs are usually solved by combining the method of moments (MoM) in space domain and march-on-in-time (MoT) scheme in time domain. The space-domain MoM requires two basis functions to represent the electric and magnetic current densities on material...
Electromagnetic problems with both conducting and dielectric media are formulated through volume-surface integral equations (VSIEs) in integral equation approach. The conducting part is described by surface integral equation while the dielectric part is governed by volume integral equations (VIEs) and they are coupled together by produced fields. The VSIEs are usually solved by the method of moments...
Solving electromagnetic (EM) scattering with very thin conducting objects by integral equation approach have to deal with some unfavorable problems, such as a large dynamic change of current density in the neighborhood of their edges and many low-quality meshes on the side faces of objects in geometric discretization, which makes the accurate evaluation of singular integrals in matrix elements significant...
Volume Integral Equations (VIEs) are indispensable for electromagnetic (EM) analysis by integral equation approach when inhomogeneous penetrable objects are involved. In the conventional method of moment (MoM) for solving the VIEs, unknown functions are expanded by a well-designed basis function like Schaubert-Wilton-Glisson (SWG) basis function, and a tedious testing procedure is required to transform...
The fast multipole algorithm (FMA) has been thought of as one of top ten algorithms in science and engineering in the 20th century and its multilevel variant (MLFMA) was first proposed in electromagnetics. The memory usage and CPU time for solving a dense matrix equation iteratively are of O(N2) complexity, where N is the number of unknowns, and this cost usually prevents one from solving large-scale...
Transient electromagnetic scattering by dielectric objects is formulated through time-domain Poggio-Miller-Chang-Harrington-Wu-Tsai (TDPMCHWT) equations which are usually solved by combining the method of moments (MoM) in space domain and march-on-in-time (MoT) scheme in time domain. The space-domain MoM requires two basis functions to represent the electric and magnetic current densities, respectively,...
Electromagnetic (EM) problems with complex media are formulated by volume integral equations (VIEs) in the integral equation approach. The VIEs are usually solved by the method of moments (MoM) with the Schaubert-Wilton-Glisson (SWG) basis function, but the solution requires high-quality conforming meshes, resulting in a high cost in geometric discretization. In this work, a point-matching meshless...
Electromagnetic modeling and simulation is performed for a miniaturized patch antenna which includes a lossy dielectric substrate and layered thin-ferrite-film superstrate above microstrip. The structure is of multiscale and multimaterial feature and the system matrix may not be well-conditioned if surface integral equations (SIEs) are used to describe the problem. This work formulates the problem...
Accurate electromagnetic (EM) analysis is performed for transmission line structures with finite-thickness conductors. Traditionally, the analysis ignores the thickness of conductors to simplify the model but such an ignorance may not be allowed in many applications. In this paper, a rigorous three-dimensional (3D) model without any geometric approximation is established and the method of moment (MoM)...
The reconstruction of dielectric objects is performed by the contrast source inversion method (CSIM) under a limited observation. The CSIM is superior to the traditional Born iterative method (BIM) or its variations because it updates the contrast source and contrast simultaneously and avoids the direct solution of forward scattering integral equation (FSIE). The CSIM is similar to the modified gradient...
Electromagnetic (EM) analysis for inhomogeneous penetrable structures relies on the formulation of volume integral equations (VIEs) in integral equation approach and time-domain VIEs (TDVIEs) are required for transient interaction with the structures. The TDVIEs are usually solved by combining the method of moments (MoM) with well-designed basis function in spatial domain and a march-on-in-time (MOT)...
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...
Tunability analysis based on electromagnetic modeling and simulation is performed for a miniaturized patch antenna loaded with self-biased magnetic films. The antenna includes a lossy dielectric substrate and layered thin-ferrite-film superstrate above microstrip. The structure is of multiscale and multimaterial feature and the system matrix may not be well-conditioned if the problem is described...
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...
In the meshless scheme for solving volume integral equations (VIEs), one needs to evaluate hypersingular integrals over a small cylindrical domain excluded from the whole domain for the sake of regularizing integrands. Those integrals can be evaluated semi-numerically but the implementation may not be convenient. In this work, we present some new formulas which are purely analytical for those integrals...
Solving volume integral equations (VIEs) with anisotropic media usually relies on the method of moments (MoM) with the divergence-conforming Schaubert-Wilton-Glisson (SWG) basis function or curl-conforming edge basis function. However, the basis functions may not be suitable to represent unknown functions when the anisotropy of media is strong. In this work, we replace the MoM with a point-matching...
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...
In the integral equation method for solving electromagnetic problems with thin conducting structures, there are several unfavorable factors. The individual electric field integral equation (EFIE) and magnetic field integral equation (MFIE) may deteriorate the conditioning of matrix equations due to their degeneration when the thickness reduces. Also, there are more near-interaction evaluations in...
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