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A discontinuous Galerkin finite-element time-domain method is presented. The method is based on a high-order finite element discretization of Maxwell's time-dependent curl equations. The global volume is decomposed into contiguous sub-domains of finite-elements with independent function expansions. The fields are coupled across sub-domain boundaries by(More)
A method is proposed for solving the time-dependent Maxwell's equations via the discontinuous Galerkin finite-element time-domain (DGFETD) method with dispersive media. An auxiliary differential equation (ADE) method is used to represent the constitutive relations. The method is applied to Drude materials, as well as to multiple pole Debye and Lorentz(More)
Perfectly matched layer (PML) absorbing media has proven to be the most robust and efficient technique for the termination of FDTD lattices. Unfortunately, the PML can still suffer from late time reflections when terminating highly elongated lattices or when simulating fields with very long time signatures. This is partly due to the weakly causal nature of(More)
The discontinuous Galerkin finite-element time-domain method is presented. The method is based on a high-order finite element discretization of Maxwellpsilas time-dependent curl equations. The mesh is decomposed into contiguous sub-domains of finite-elements with independent function expansions. The fields are coupled across the sub-domain boundaries by(More)
Discontinuous Galerkin methods are a class of finite element methods that employ piecewise continuous basis and testing functions. The methods are characterized as being high-order accurate, able to model complex geometries, efficient, stable, and are highly parallel [1]. Discontinuous Galerkin Time-Domain (DGTD) methods have more recently been employed for(More)
It is demonstrated that the source of late time instabilities in the non-orthogonal FDTD (NFDTD) and discrete integral equation/generalized Yee (DSI/GY) methods is due to the ill-posed nature of the original formulations. Specifically, for general problems the explicit operators are not well posed. This leads to solutions that are unstable in the late time(More)
This paper examines the benefits of grating thickness in regards to enhancing EMI attenuation. Analysis is performed using the FDTD technique using periodic boundary conditions along with new formulations of the CPML absorbing boundary. Furthermore, it is demonstrated that a simple waveguide below cutoff approximation provides accurate results for the(More)
This paper documents the analysis and design of a patch antenna array system. The primary analysis technique is the FDTD technique in conjunction with the CPML absorbing boundary condition. A thorough set of measurements were also achieved for the array with good agreement demonstrated. These data and results demonstrate the value of simulation technologies(More)
Recently an unconditionally stable ADI method was successfully applied to the solution of Maxwell's equations using a variation of the FDTD method. The ADI method is most useful for solving problems where the lattice is grossly over discretized spatially (< 10/sup -2//spl lambda//sub min/). For this scheme to be applicable to analyzing practical(More)
The convolutional PML (CPML) was introduced ten years ago as an efficient implementation of Berenger's PML absorbing boundary within FDTD simulations. Numerous researchers and practitioners have demonstrated the benefits of the CPML for grid termination across a broad spectrum of electromagnetic applications. In this paper the basic formulation as well as a(More)
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