A hybrid technique combining the method of moments in the time domain and FDTD

1998 ◽  
Vol 8 (8) ◽  
pp. 281-283 ◽  
Author(s):  
A.R. Bretones ◽  
R. Mittra ◽  
R.G. Martin
Keyword(s):  
Method Of Moments ◽  
Time Domain ◽  
Hybrid Technique ◽  
The Time Domain

A Straight-Forward Method of Moments Procedure to Solve the Time Domain Integral Equation Applicable to PEC Bodies via Triangular Patch Modeling

2020 ◽  
Vol 35 (8) ◽  
pp. 843-854
Author(s):  
Sadasiva Rao
Keyword(s):  
Method Of Moments ◽  
Time Domain ◽  
Moment Matrix ◽  
Triangular Patch ◽  
Gaussian Plane ◽  
Time Marching ◽  
Time Domain Integral Equation ◽  
Time Variables ◽  
The Moment ◽  
The Time Domain

In this work, a simple and straight-forward method of moments solution (MOM) procedure is presented to obtain the induced current distribution on an arbitrarily-shaped conducting body illuminated by a Gaussian plane wave directly in the time domain using a patch modeling approach. The method presented in this work, besides being stable, is also capable of handling multiple excitation pulses of varying frequency content incident from different directions in a trivial manner. The method utilizes standard Rao-Wilton-Glisson (RWG) functions and simple triangular functions for the space and time variables, respectively, for both expansion and testing. The method adopts conventional MOM and requires no further manipulation invariably needed in standard time-marching methods. The moment matrix generated via this scheme is a block-wise Toeplitz matrix and, hence, the solution is extremely efficient. The method is validated by comparing the results with the data obtained from the frequency domain solution. Several simple and complex numerical results are presented to validate the procedure.

Uncertain Circuit Equation

2021 ◽  
Vol 14 (03) ◽  
Author(s):  
Yang Liu
Keyword(s):  
Differential Equation ◽  
Method Of Moments ◽  
Time Domain ◽  
Electrical Circuit ◽  
Unknown Parameters ◽  
Uncertainty Distribution ◽  
Liu Process ◽  
The Time Domain ◽  
Steady State Solutions ◽  
Transient And Steady State

Differential equation is a powerful tool for investigating the transient and steady-state solutions of electrical circuit in the time domain. By considering the noise in actual circuit system, this paper first presents an uncertain circuit equation, which is a type of differential equation driven by Liu process. Then the solution of uncertain circuit equation and the inverse uncertainty distribution of solution are derived. Following that, two applications of solution are provided as well. Based on the observations, the method of moments is used to estimate the unknown parameters in uncertain circuit equation. In addition, a paradox for stochastic circuit equation is also given.

scholarly journals A hybrid method combining the Time-Domain Method of Moments, the Time-Domain Uniform Theory of Diffraction and the FDTD

2007 ◽  
Vol 5 ◽  
pp. 107-113
Author(s):  
A. Becker ◽  
V. Hansen
Keyword(s):  
Method Of Moments ◽  
Hybrid Method ◽  
Time Domain ◽  
Time Domain Method ◽  
Thin Wire ◽  
Uniform Theory Of Diffraction ◽  
Domain Method ◽  
Inhomogeneous Bodies ◽  
Wire Antennas ◽  
The Time Domain

Abstract. In this paper a hybrid method combining the Time-Domain Method of Moments (TD-MoM), the Time-Domain Uniform Theory of Diffraction (TD-UTD) and the Finite-Difference Time-Domain Method (FDTD) is presented. When applying this new hybrid method, thin-wire antennas are modeled with the TD-MoM, inhomogeneous bodies are modelled with the FDTD and large perfectly conducting plates are modelled with the TD-UTD. All inhomogeneous bodies are enclosed in a so-called FDTD-volume and the thin-wire antennas can be embedded into this volume or can lie outside. The latter avoids the simulation of white space between antennas and inhomogeneous bodies. If the antennas are positioned into the FDTD-volume, their discretization does not need to agree with the grid of the FDTD. By using the TD-UTD large perfectly conducting plates can be considered efficiently in the solution-procedure. Thus this hybrid method allows time-domain simulations of problems including very different classes of objects, applying the respective most appropriate numerical techniques to every object.

scholarly journals A hybrid method combining the TD-MoM with the TD-UTD to calculate the transient radiation of thin dipoles in presence of a perfectly conducting screen

2005 ◽  
Vol 3 ◽  
pp. 431-436
Author(s):  
A. Becker ◽  
V. Hansen
Keyword(s):  
Frequency Domain ◽  
Method Of Moments ◽  
Hybrid Method ◽  
Time Domain ◽  
Free Space ◽  
Time Domain Method ◽  
Thin Wire ◽  
Uniform Theory Of Diffraction ◽  
The Time Domain ◽  
Conducting Screen

Abstract. A time domain Method of Moments algorithm (TD-MoM) is combined with the time domain version of the Uniform Theory of Diffraction (TD-UTD). By use of the TD-MoM the fields radiated from thin wire structures positioned in free space are determined. The TD-UTD is applied to calculate the fields scattered by a perfectly conducting screen. Both techniques are hybridized by adding possible reflected and diffracted fields in the TD-MoM algorithm and by using the TD-MoM solution to calculate the fields which impinge on to the screen. To show the accuracy of the developed hybrid method, numerical results are compared to results obtained by established frequency domain numerical codes.

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