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Well posed non-orthogonal FDTD methods

IEEE Antennas and Propagation Society International Symposium. 1998 Digest. Antennas: Gateways to the Global Network. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.98CH36194), 2002
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.
S. Gedney, J.A. Roden
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Nonstandard FDTD Method for Multifrequency Analysis

IEEE Transactions on Magnetics, 2008
The nonstandard finite difference time domain (NS-FDTD) method is a new high-accuracy FDTD method, but until now, it was applicable only at a single frequency. In this paper, we extend the NS-FDTD method to handle multiple frequencies in one computer run. We apply our new method to analyze the scattering analysis of a large cavity.
T. Ohtani   +4 more
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An artificial anisotropy WCS-FDTD method

2016 11th International Symposium on Antennas, Propagation and EM Theory (ISAPE), 2016
In this letter, we present a three-dimensional (3-D) artificial anisotropy weakly conditional stability finite-difference time-domain (WCS-FDTD) method to achieve better dispersion performance. This artificial anisotropy WCS-FDTD algorithm can minimize the dispersion error for arbitrary incident angles and different time-step sizes.
Kaikun Niu   +3 more
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Square Electrode Representation in FDTD Method

IEEE Transactions on Antennas and Propagation, 2014
An algorithm is proposed for finite-difference time-domain (FDTD) method simulating of square electrode. To derive the electromagnetic field variation near the electrode, an electrostatically charged square electrode is involved and the field is decoupled into 4 parts.
Run Xiong, Bin Chen, Dagang Fang
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Convergence analysis of ASM-FDTD method

2010 IEEE Antennas and Propagation Society International Symposium, 2010
The array scanning method (ASM) is an effective technique for the modeling of periodic structures illuminated by non-periodic excitations. Using this method, only a single unit element is needed in the simulation and therefore tremendous computational resources can be saved.
null Rui Qiang, null Ji Chen
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Nonorthogonal locally one dimensional FDTD method

2011 IEEE International Symposium on Antennas and Propagation (APSURSI), 2011
We present unconditionally stable Non-orthogonal Locally One Dimensional (LOD) finite-difference time-domain (FDTD) method. The non-orthogonal formulation can be useful to extend the LOD-FDTD methods for curved discontinuities so as to obtain more accurate results with reduced computational resources.
M. M. Rana, Ananda Sanagavarapu Mohan
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Slanted walls in the FDTD method

2005 IEEE Antennas and Propagation Society International Symposium, 2005
In the finite-difference time-domain (FDTD) method, the spatial step is usually chosen to be between 5% and 12.5% of the minimal wavelength of interest. If the boundaries cannot be positioned at integer multiples of the chosen spatial step, one usually reduces the spatial step or uses a nonuniform grid.
Y.S. Rickard, N.K. Nikolova
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FDTD Method for Band Structure Computation

2009
Principles of photonic band structure computation using FDTD method are considered in this chapter. The general scheme of FDTD method for photonic band structure computation is presented. Peculiarities of different stages like definition of computation domain, definition of Bloch boundary conditions and initial conditions for delta-pulse, and Gaussian ...
Igor A. Sukhoivanov, Igor V. Guryev
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Nonstandard FDTD Method for Wideband Analysis

IEEE Transactions on Antennas and Propagation, 2009
The nonstandard (NS) FDTD algorithm can compute electromagnetic propagation with very high accuracy on a coarse grid, but only for monochromatic or narrow-band signals. We have developed a wideband (W) NS-FDTD algorithm that overcomes this limitation.
T. Ohtani   +4 more
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FDTD method incorporating the Doppler effect

2015 German Microwave Conference, 2015
In one former paper [1] the author reported about a comprehensive physical analysis of the Doppler effect of electromagnetic waves. The paper contains an analytical description of one dimensional (1-D) wave propagation in layered media with moving boundaries and an approximate method to calculate backscattering signals from moving objects of arbitrary ...
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