Comparison of finite difference time domain results for scattered EM fields: Yee algorithm vs. a characteristic based algorithm

Donohoe, J. Patrick; Beggs, John H.; Ho, Mingtsu

doi:10.1109/ssst.1995.390560

Cited by 15 publications

(9 citation statements)

References 3 publications

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“…Meanwhile, MOC adjusts the time step sizes of those fractional cells since the numerical time step for each cell is dependent on the grid size. It is shown that MOC yields results which are compatible with data generated by the FDTD technique [11] and in good agreement with the theoretical values when EM fields reflected from a traveling and/or vibrating perfect surface [12]. Also, MOC produces reasonable trends in the following cases: the effects of medium conductivity on the propagation of EM pulse onto conducting dielectric half space [13] and the propagation of EM pulse through lossless non-uniform dielectric slab [14].…”

Section: Introductionsupporting

confidence: 63%

Radiated Em Fields From a Rotating Current-Carrying Circular Cylinder: 2-Dimensional Numerical Simulation

Ho¹,

Lai²,

Chen³

et al. 2011

PIER M

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Abstract-The radiated electromagnetic (EM) fields from a rotating current-carrying circular cylinder were numerically simulated in two dimensions using the method of characteristics (MOC), and the numerical results were presented in this paper. To overcome the difficulty of the grid cell distortion caused by the rotating cylinder, the passing center swing back grids (PCSBG) technique is employed in collaboration of MOC in a modified O-type grid system. In order to have clear demonstration of radiated EM fields, the circular cylinder is set to be evenly divided in radial direction into an even number of slices that are made of perfect electric conductor (PEC) and nonelectric nonmagnetic material, alternatively. The surface current is assumed to have a Gaussian profile and to flow uniformly along the axial direction on the PEC surface. The radiated electric and magnetic fields around the cylinder were recorded as functions of time and reported along with the corresponding spectra which were obtained through proper Fourier transformation. Several field distributions over the whole computational space are also given.

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Section: Introductionsupporting

confidence: 63%

Radiated Em Fields From a Rotating Current-Carrying Circular Cylinder: 2-Dimensional Numerical Simulation

Ho¹,

Lai²,

Chen³

et al. 2011

PIER M

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“…Shang employed it to solve the timedomain Maxwell's equations [15] through an application of explicit central-difference scheme for spatial and temporal derivatives. Its implicit formulation was developed for the same purpose and its results were found to agree with data produced by FDTD [16]. It is also shown that the characteristic-based method can predict the reflection of electromagnetic fields from moving/vibrating perfect conductor in one dimension [17,18], the effects of finite conductivity on the reflection/transmission of electromagnetic fields [19], and the reflection/transmission of electromagnetic field propagation onto moving dielectric half space [20].…”

Section: Introductionmentioning

confidence: 82%

Numerical Simulation of Propagation of Em Pulse Through Lossless Non-Uniform Dielectric Slab Using Characteristic-Based Method

Ho¹,

Lai²,

Tan³

et al. 2008

PIER

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Abstract-This paper demonstrates the one-dimensional computational results of the propagation of Gaussian electromagnetic pulse through dielectric slabs of finite thickness with variation in permittivity. The numerical approach used is the characteristic-based method solving the time-domain Maxwell curl equations involved with nonuniform permittivity. In the numerical model, all dielectric slabs are assumed to be isotropic, lossless, and linear. The permittivity of dielectric slab may increase or decrease linearly or sinusoidally. The numerical permittivity is finely discretized such that the variation between two adjacent grids is so small that the non-uniform permittivity is assumed to be piecewise continuous and consequently can be modeled as an individual block. The numerical results of various electric fields, both in the time-and frequency-domain, are presented and compared based on the dielectric slab of constant permittivity for close investigating the effects of the non-uniform permittivity distribution on the electromagnetic fields. It is also shown that under certain arrangement of Gaussian electromagnetic pulse and dielectric slab thickness the pattern of field propagation, reflection and transmission, can be reproduced in different time scales and frequency ranges.

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“…Shang solves the time-domain Maxwell's equations by using the explicit finite-difference formulation in MOC in the early of 90s [5]. By elaborating with lower-upper approximate factorization method, the implicit formulation was developed for the direct time domain computation of the Maxwell curl equations and found in good agreement with results generated by FDTD [6]. Different from the MoM and FDTD approach where field components are allocated in different nodes, the characteristic-based method positions all field variables in the grid cell center.…”

Section: Introductionmentioning

confidence: 95%

One-Dimensional Simulation of Reflected Em Pulses From Objects Vibrating at Different Frequencies

Ho¹

2005

PIER

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Abstract-In this report one-dimensional simulation of Electromagnetic pulses reflected from moving and/or vibrating perfectly conducting surfaces is presented. The computational results are obtained through the application of the method of characteristics with the aid of the characteristic variable and the relativistic boundary conditions. The reflecting perfect surface is set to constantly travel at relatively high speed and/or sinusoidally vibrate with very high frequency in order to easily observe the relativistic effects on the reflected pulses. To validate the numerical method, the reflected electric fields and the corresponding spectra are demonstrated side-by-side for comparisons with the theoretical Doppler shift values. It is found that the computational results and the theoretical values are in good agreement.

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Comparison of finite difference time domain results for scattered EM fields: Yee algorithm vs. a characteristic based algorithm

Cited by 15 publications

References 3 publications

Radiated Em Fields From a Rotating Current-Carrying Circular Cylinder: 2-Dimensional Numerical Simulation

Radiated Em Fields From a Rotating Current-Carrying Circular Cylinder: 2-Dimensional Numerical Simulation

Numerical Simulation of Propagation of Em Pulse Through Lossless Non-Uniform Dielectric Slab Using Characteristic-Based Method

One-Dimensional Simulation of Reflected Em Pulses From Objects Vibrating at Different Frequencies

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