Efficient FDTD Implementations of the Higher-Order PML Using DSP Techniques for Arbitrary Media

Feng, Naixing; Li, Jianxiong; Zhao, Xiaoming

doi:10.1109/tap.2013.2242825

Cited by 29 publications

(20 citation statements)

References 15 publications

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“…Rearranging (9), we obtain (11) Since the operator in the -domain corresponds to a delay of one time-step in the DSP algorithm, both (10) and (11) can be transferred into the discrete time domain as…”

Section: Formulationmentioning

confidence: 99%

“…The convolutional PML (CPML) [6], based on the SC-PML and convolution theorem, is a very efficient realization of the complex frequency-shifted PML (CFS-PML) [7], [8]. Recently, the digital signal processing (DSP) technique, handling the PML stretched coordinate variables with an infinite impulse response (IIR) digital filter, has been proposed in [9], and it can avoid the direct computation of the convolution terms in the conventional FDTD algorithm [10], [11].…”

Section: Introductionmentioning

confidence: 99%

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Implementation of Perfectly Matched Layer (PML) for the WCS-FDTD Method Using DSP Techniques

Zhai

Wang

Chen

et al. 2014

Antennas Wirel. Propag. Lett.

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An efficient implementation of perfectly matched layer (PML), based on the stretched coordinate PML (SC-PML) and digital signal processing (DSP) techniques, is proposed to truncate the weakly conditional stable finite-difference time-domain (WCS-FDTD) lattices. The updating PML equations are further simplified with the introduction of auxiliary quantities. Compared to the convolutional PML (CPML), the proposed PML achieves better absorbing performance at the same computational expenditure. With its implementation, energy leakage from small cross-slots of a rectangular waveguide coupler is predicted accurately, which agrees very well with that of the other methods. Index Terms-Digital signal processing (DSP) techniques, finite-difference time domain (FDTD), stretched coordinate perfectly matched layer (SC-PML), weakly conditional stable (WCS).

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Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Implementation of Perfectly Matched Layer (PML) for the WCS-FDTD Method Using DSP Techniques

Zhai

Wang

Chen

et al. 2014

Antennas Wirel. Propag. Lett.

View full text Add to dashboard Cite

show abstract

“…where the coefficients a m and b m are given by (11) can be written in the discrete time domain directly as…”

Section: Formulationsmentioning

confidence: 99%

“…Nevertheless, it must be noted that there is a sharp increase in the reflection coefficient around the dc and 60GHz frequencies, but this is not important as the excitation pulse does not include significant frequency components in these frequency ranges. Finally, the incorporation of the proposed formulations into the higher-order DSP-PML formulations of [10], [11] is under investigation.…”

Section: Numerical Studymentioning

confidence: 99%

Digital signal processing approach for modeling electrically and magnetically dispersive electromagnetic applications

Ramadan

2013

2013 IEEE Jordan Conference on Applied Electrical Engineering and Computing Technologies (AEECT)

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In this paper, digital signal processing (DSP) approach is developed for solving electrically and magnetically dispersive electromagnetic applications in the discrete time domain. This approach is based on incorporating the DSP algorithms developed for digital filters into the finite difference time domain (FDTD) method. In the proposed approach, the dielectric parameters of each FDTD grid point is interpreted as an infinite impulse response digital filter, which can be implemented in the discrete time efficiently using the transpose direct form II. Numerical example carried out for negative index meta-materials (NIMs) is included to show the validity of the proposed formulation.Index Terms-Digital signal processing, digital filter, finite difference time domain, infinite impulse response, electrically and magnetically dispersive materials.

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“…Recently, following Correia of the multi-pole PMLs based on the unsplit-field SC-PML formulations [13]- [16] have been proposed for truncating the FDTD domains. As we all know, however, the higher order PMLs, such as the second-order PMLs, require more CPU time and memory than the first-pole PMLs, such as the CFS-PMLs, although the higher pole PMLs can obtain better absorption performance.…”

mentioning

confidence: 99%

Direct <formula formulatype="inline"><tex Notation="TeX">$Z$</tex></formula>-Transform Implementation of the CFS-PML Based on Memory-Minimized Method

Feng

Yue

Liu

2015

IEEE Trans. Microwave Theory Techn.

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Efficient and unsplit-field-based stretched coordinate perfectly matched layer (PML) formulations with the complex frequency-shifted (CFS) scheme that combine the memory-minimized method (Tri-M) and the direct -transform (DZT) method are proposed to truncate the finite-difference time-domain lattices. The proposed algorithm takes advantage of the minimized memory of the Tri-M method, the optimal accuracy of the DZT method, and the capacity of the PML for attenuating evanescent waves and reducing late-time reflections. Three 3-D numerical simulations have been carried out to validate the proposed formulations. Index Terms-Complex frequency-shifted perfectly matched layer (CFS-PML), direct -transform (DZT) method, finite difference time domain (FDTD), memory-minimized method (Tri-M).

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Efficient FDTD Implementations of the Higher-Order PML Using DSP Techniques for Arbitrary Media

Cited by 29 publications

References 15 publications

Implementation of Perfectly Matched Layer (PML) for the WCS-FDTD Method Using DSP Techniques

Implementation of Perfectly Matched Layer (PML) for the WCS-FDTD Method Using DSP Techniques

Digital signal processing approach for modeling electrically and magnetically dispersive electromagnetic applications

Direct <formula formulatype="inline"><tex Notation="TeX">$Z$</tex></formula>-Transform Implementation of the CFS-PML Based on Memory-Minimized Method

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