Showing 1-25 of 5,122 resultsfor "Index Terms":time-domain Maxwell equations
"Index Terms":time-domain Maxwell equations
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A Hybrid Vector Wave Equation- and Maxwell’s Equation-Based Discontinuous Galerkin Time Domain Method
2018 International Applied Computational Electromagnetics Society Symposium - China (ACES)
Year: 2018 | Conference Paper |
Cited by: Papers (1)
A hybrid scheme composed of vector wave equation-based discontinuous Galerkin time domain method (DGTD-WE) and Maxwell’s equation-based discontinuous Galerkin time domain method (DGTD-ME) has been proposed to solve the electromagnetic problems. An upwind flux scheme is developed to hybridize the DGTD-WE and DGTD-ME. Numerical results demonstrate good performance of the proposed hybrid algorithm.Show More
An Efficient Algorithm for Implementing the Crank–Nicolson Scheme in the Mixed Finite-Element Time-Domain Method
In this paper, an efficient algorithm for implementing Crank-Nicolson scheme in the finite-element time-domain (FETD) method is presented. Based on a direct discretization of the first-order coupled Maxwell curl equations, this algorithm employs edge elements (Whitney 1-form) to expand the electric field and face elements (Whitney 2-form) for the magnetic field. Since the curl of an edge-element i...Show More
A Finite Element Time-Domain Algorithm Based on the Alternating-Direction Implicit Method
Masoud Movahhedi;Alexandre Nentschev;Hajdin Ceric;Abdolali Abdipour;Siegfried Selberherr
We present an implicit finite element time-domain (FETD) solution of the Maxwell equations. The time-dependent formulation employes a time-integration method based on the alternating-direction implicit (ADI) method. The ADI method is directly applied to the Maxwell equations in order to obtain an unconditionally stable FETD approach. The method uses edge elements for electric field and facet eleme...Show More
Parametric POD-Galerkin model order reduction with a greedy algorithm for the time-domain Maxwell's equations
2019 International Applied Computational Electromagnetics Society Symposium - China (ACES)
Year: 2019 | Conference Paper |
In this work we report a parametric reduced order model (ROM) based on the proper orthogonal decomposition (POD) method with Galerkin projection for solving the system of time-domain Maxwell's equations. In particular, we introduce a residual-based estimation of the error associated with the ROM. Moreover, a greedy algorithm for the snapshot selection in the parameter space is developed. We invest...Show More
A Nodal DGTD Method Based on Damped Purely Hyperbolic Maxwell Equation System
2023 International Applied Computational Electromagnetics Society Symposium (ACES-China)
Year: 2023 | Conference Paper |
This paper establishes an electromagnetic solver based on the nodal discontinuous Galerkin time-domain (NDGTD) method with consideration of divergence correction. Firstly, divergence-cleaning method is used to enforce Gauss's laws. With the auxiliary variables and the damping terms, the damped pure hyperbolic Maxwell's equation (DPHM) system has been established. The numerical governing equations ...Show More
3D time-domain electromagnetic/transport macroscopic numerical physical modelling
2009 Mediterrannean Microwave Symposium (MMS)
Year: 2009 | Conference Paper |
A new 3D time-domain physical numerical electromagnetic/transport modeling has been used to investigate the photoswitch (PS) operation. It is mainly based on a self-consistent solution of both the Maxwell and drift-diffusion equations by means of the FDTD method. The model has been applied to a GaAs microstrip line photoswitch. Some results illustrate the model capabilities. Some circuit functiona...Show More
The Hybridizable Discontinuous Galerkin Time Domain Method to Solve the 3D Maxwell's Equations
2018 IEEE International Conference on Computational Electromagnetics (ICCEM)
Year: 2018 | Conference Paper |
The hybridizable discontinuous Galerkin (HDG) method is very popular at present because of its lower number of globally coupled degrees of freedom compared with the discontinuous Galerkin (DG) method. However there is pretty few research about HDG in time domain computational electromagnetics. Considering the time domain methods can contain more the transient information and reflect directly the e...Show More
An Interior Penalty Discontinuous Galerkin Time Domain Method for Nanophotonic Applications
2018 IEEE International Conference on Computational Electromagnetics (ICCEM)
Year: 2018 | Conference Paper |
In this work, an interior penalty discontinuous galerkin time domain method is developed for the discretization of the 3D time-domain Maxwell's equations coupled to a Drude dispersion model for nanophotonic applications. High order hierarchical vector basis and high order explicit Low-Storage Runge-Kutta scheme is applied for the space and time discretization, respectively. Numerical experiment is...Show More
Method of Moments: A General Framework for Frequency- and Time-domain Numerical Methods
2007 Workshop on Computational Electromagnetics in Time-Domain
Year: 2007 | Conference Paper |
Cited by: Papers (8)
Many numerical methods have been derived and developed in the past five decades for solving electromagnetic structure problems. They can be categorized into frequency- and time-domain methods. Among them are frequency- and time-domain spectral domain methods, finite-difference based methods, finite element FEM) methods and integral equation methods. These methods have been studied extensively and ...Show More
Time domain finite element methods for Maxwell's equations in three dimensions
2018 International Applied Computational Electromagnetics Society Symposium (ACES)
Year: 2018 | Conference Paper |
Cited by: Papers (4)
In this paper, time-domain finite element simulations for Maxwells equations in bounded three-dimensional domains are presented. We describe fully discrete time-domain methods and provide some numerical results. The obtained fields are visualized on tetrahedral meshes. The proposed methods are accurate in time up to order 4, in case of symplectic time integration they are conditionally stable.Show More
Convergence of a discontinuous Galerkin scheme for the mixed time-domain Maxwell's equations in dispersive media
IMA Journal of Numerical Analysis
Cited by: Papers (5)
This work is about the numerical solution of the time-domain Maxwell's equations in dispersive propagation media by a discontinuous Galerkin time-domain method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of differential equations is solved using a centred-flux discontinuous Galerkin formulation for the discretization in space and a second-order ...Show More
Time Domain Coupled Field Dyadic Green Function Solution for Maxwell's Equations
The free space time domain coupled electric and magnetic field integral equation solution for Maxwell's differential equations is derived. The coupled field integral equation solution is expressed as a vector containing the electric and magnetic fields found in terms of a surface integral over the equivalent surface currents on a boundary, an integral over the electric and magnetic current sources...Show More
Solving Maxwell-Schrödinger equations for analyses of nano-scale devices
2007 European Microwave Conference
Year: 2007 | Conference Paper |
In this paper an newly developed numerical approach, which includes quantum effects into electromagnetic system analysis, was introduced to analyze nano-scale electronic devices. The numerical method uses an extended finite-difference time-domain (FDTD) technique to solve the Maxwell’s equations, combined with Schrödinger equation for quantum effects in those devices. Electron tunneling current th...Show More
Solving Maxwell-Schrödinger equations for analyses of nano-scale devices
Year: 2007 | Conference Paper |
Generalized Finite-Difference Time-Domain Method Utilizing Auxiliary Differential Equations for the Full-Vectorial Analysis of Photonic Crystal Fibers
IEEE Photonics Technology Letters
Cited by: Papers (11)
We present the generalized finite-difference time-domain full-vectorial method by reformulating the time-dependent Maxwell's curl equations with electric flux density and magnetic field intensity, with auxiliary differential equations using complex-conjugate pole-residue pairs. The model is generic and robust to treat general frequency-dependent material and nonlinear material. The Sellmeier equat...Show More
A Nonspurious 3-D Vector Discontinuous Galerkin Finite-Element Time-Domain Method
We propose a nonspurious vector discontinuous Galerkin finite-element time-domain (DG-FETD) method for 3-D electromagnetic simulation. To facilitate the implementation of numerical fluxes for domain decomposition, we construct the DG-FETD scheme based on the first-order Maxwell's equations with variables E and H. The LT/QN and the CT/LN edge elements are employed to represent E and H, respectively...Show More
Time-Domain Quantum Maxwell Solver
2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
Year: 2020 | Conference Paper |
We present finite-difference time-domain schemes to numerically solve quantum Maxwell's equations for arbitrary inhomogeneous media based on the macroscopic theory on quantum electrodynamics. In the Heisenberg picture, quantum Maxwell dynamical operators are expanded by a set of ladder operators defined in the coordinate space while non-orthogonal basis corresponding to a new long-range propagator...Show More
An Unconditionally Stable Single-Field Finite-Difference Time-Domain Method for the Solution of Maxwell Equations in Three Dimensions
The recently developed two-directional unconditionally stable single-field (US-SF) finite-difference time-domain (FDTD) method is generalized to a 3-D. The method is based on the application of the Crank-Nicolson scheme to only one of Maxwell curl equations which leads to an unconditionally stable finite-difference solution of the 3-D vector wave equation in the time domain. The method is designat...Show More
An Adaptive Time Step FDTD Method for Maxwell’s Equations
This letter is concerned with a new finite difference method of the 2-D Maxwell's equations in time domain by using adaptive time steps (called ATS-FDTD). First, based on the Yee's staggered points and the central difference formulas for spatial derivatives, the Maxwell's equations are reduced into a system of ordinary differential equations (ODEs). Second, the continuous field functions of time i...Show More
OpenSEMBA/DGTD: An Open-Source Full-Wave Maxwell’s Equations Solver
Alejandro Muñoz Manterola;Farah Amador;Luis D. Angulo;Salvador G. García;Alberto Gascón Bravo;Kenan Tekbas
2024 International Applied Computational Electromagnetics Society Symposium (ACES-China)
Year: 2024 | Conference Paper |
Numerical solvers have been essential tools in the industry, R&D and other similar fields in the last two decades. While it is important to understand the advantages and limitations of most common methods and look for the best candidates in terms of simplicity, accuracy, and computational performance; the capacity to be able to simulate, with relative simplicity, complex physical problems and obta...Show More
Finite-Difference Time-Domain Formulation of Stochastic Noise in Macroscopic Atomic Systems
Journal of Lightwave Technology
Cited by: Papers (27)
A numerical model based on the finite-difference time-domain method is developed to simulate fluctuations which accompany the dephasing of atomic polarization and the decay of excited state's population. This model is based on the Maxwell-Bloch equations with c-number stochastic noise terms. We successfully apply our method to a numerical simulation of the atomic superfluorescence process. This me...Show More
An Investigation into the Implementation of ADI-FDTD Subgrids in FDTD GPR Modeling
2007 4th International Workshop on, Advanced Ground Penetrating Radar
Year: 2007 | Conference Paper |
Cited by: Papers (3)
The implementation of subgrids in the traditional finite-difference time-domain (FDTD) method is often required, especially when structures of fine geometry need to be modeled. Since the FDTD method is conditionally stable, different time-steps should be employed in the main grid and in the subgrid. To overcome the requirement for time interpolation at the boundary between the two grids, an uncond...Show More
Including Quantum Effects in Electromagnetic System--An FDTD Solution to Maxwell-Schrödinger Equations
2007 IEEE/MTT-S International Microwave Symposium
Year: 2007 | Conference Paper |
Cited by: Papers (9)
In this paper a novel approach to include quantum effects, described by Schrodinger equation in tempo and spatial domains, into electromagnetic system analysis, which uses an extended finite-difference time-domain (FDTD) technique to solve the Maxwell's equations. An iterative numerical scheme that marches in time provides a complete solution that describes the interactions between electromagnetic...Show More
4D and 2D Finite-Integration Time-Domain Approaches for Pulses in Structures with Nondispersive and Dispersive Media
2007 Workshop on Computational Electromagnetics in Time-Domain
Year: 2007 | Conference Paper |
The excitation and propagation of pulses in different media and guided structures are the main problems of nonstationary electromagnetics. There are several approaches for solutions such as the finite-difference time-domain (FDTD), transmission-line matrix (TLM), Green's function (GF), time-domain finite-element (TD-FE), and some others similar methods and techniques. In recent time three is growi...Show More
Optimization of the Perfectly Matched Layer for the Finite-Element Time-Domain Method
Masoud Movahhedi;Abdolali Abdipour;Hajdin Ceric;Alireza Sheikholeslami;Siegfried Selberherr
We present a new formulation to implement the complex frequency shifted-perfectly matched layer (CFS-PML) for boundary truncation in 2-D vector finite-element time-domain method directly applied to Maxwell's equations. It is shown that the proposed method is highly absorptive to evanescent modes when computing the wave interaction of elongated structures or sharp corners. The impact of the CFS-PML...Show More
Symplectic finite-difference time-domain method for maxwell equations
IEEE Transactions on Magnetics
Cited by: Papers (16)
We introduce a symplectic finite-difference time-domain method for electromagnetic field simulation. Our method can successfully solve Maxwell equations involving conductor loss, which cannot be solved by the symplectic integration methods that have been presented in previous works. A class of high-order symplectic schemes for computing the time-dependent electric and magnetic fields are derived o...Show More
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