Higher Order FDTD Schemes for Waveguide and Antenna Structures

Kantartzis, Nikolaos V.; Tsiboukis, T.D.

doi:10.2200/s00018ed1v01y200604cem003

Cited by 41 publications

(32 citation statements)

References 281 publications

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“…broadband dispersion error, anisotropy) methods have been developed, e.g. in [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

The spectral order of accuracy: A new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

Finkelstein

Kästner

2009

Journal of Computational Physics

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“…broadband dispersion error, anisotropy) methods have been developed, e.g. in [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

The spectral order of accuracy: A new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

Finkelstein

Kästner

2009

Journal of Computational Physics

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“…Although different treatments in ADE are required for different kinds of dispersive media, the arithmetic used in ADE is much easier than those used in other FDTD methods toward dispersive media [39]. Furthermore, instead of using the traditional second-order FDTD, the fourth-order spatial central difference approximation technique is applied in this paper in order to reduce the numerical dispersion error and achieve high accuracy [40,41]. The high-order ADE-FDTD method is briefly introduced as follows.…”

Section: Auxiliary Differential Equation Finite-difference Timedomainmentioning

confidence: 99%

Backward Scattering Characteristics of a Reentry Vehicle Enveloped by a Hypersonic Flow Field

Sun

Wang

Han

et al. 2018

International Journal of Antennas and Propagation

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The hypersonic flow field around a reentry vehicle has a significant influence on the ground-vehicle communication as well as on the detection and recognition of the reentry vehicle. Backward scattering characteristics of a reentry vehicle enveloped by a hypersonic flow field are analyzed using a high-order auxiliary differential equation finite difference time-domain (ADE-FDTD) method in this paper. Flow field parameters, including electron density, neutral particle density, and temperature, are obtained by solving the Navier-Stokes (NS) equations numerically. According to the flow field parameters, distributions of the plasma frequency and the collision frequency are then derived. Based on a validity of the physical model and the high-order ADE-FDTD method, backward radar cross sections (RCSs) of a perfect electrical conductor (PEC) sphere enveloped by a hypersonic flow field under different Mach numbers, heights, and incident angles of the electromagnetic (EM) wave are then investigated. Numerical results show that the incident angle of the EM wave exerts noticeable effects on the backward RCS, which is due to an inhomogeneous distribution of the plasma. The flight height and Mach number have significant influences on the distribution of the plasma that they play an important role in the variation of the RCSs. The results presented in this paper provide useful reference data for practical tests in ballistic range or in the high-frequency plasma wind tunnels, where a sphere target is usually used due to its simple shape.

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“…Under these conditions, the FDTD scheme is stable, and the grid function U (j, k, m) converges to the solution U (ρ j , z k , t m ) of the original problem (1). The approximation error is O(h 2 ), but could be improved for example using higher order schemes [33]. In order to achieve the desired second-order accuracy, all integrals are computed using the composite trapezoid rule and all one-sided firstorder derivatives are approximated using the second-order one-sided finite differences [34].…”

Section: Numerical Implementation and Fft-based Accelerationmentioning

confidence: 99%

An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

Sirenko¹,

Pazynin²,

Sirenko

et al. 2011

PIER

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Abstract-An accurate and efficient finite-difference time-domain (FDTD) method for characterizing transient waves interactions on axially symmetric structures is presented. The method achieves its accuracy and efficiency by employing localized and/or fast Fourier transform (FFT) accelerated exact absorbing conditions (EACs). The paper details the derivation of the EACs, discusses their implementation and discretization in an FDTD method, and proposes utilization of a blocked-FFT based algorithm for accelerating the computation of temporal convolutions present in nonlocal EACs. The proposed method allows transient analyses to be carried for long time intervals without any loss of accuracy and provides reliable numerical data pertinent to physical processes under resonant conditions. This renders the method highly useful in characterization of high-Q microwave radiators and energy compressors. Numerical results that demonstrate the accuracy and efficiency of the method are presented.

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Higher Order FDTD Schemes for Waveguide and Antenna Structures

Cited by 41 publications

References 281 publications

The spectral order of accuracy: A new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

The spectral order of accuracy: A new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

Backward Scattering Characteristics of a Reentry Vehicle Enveloped by a Hypersonic Flow Field

An FFT-Accelerated FDTD Scheme With Exact Absorbing Conditions for Characterizing Axially Symmetric Resonant Structures

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