One efficient implementation of CPML in CE-FDTD algorithm

Nikolić, Bojana; Dimitrijević, Bojan; Aleksić, Slavoljub; Raicevic, Nebojsa; Nikolić, Z.

doi:10.1109/icate.2014.6972597

Cited by 2 publications

(3 citation statements)

References 10 publications

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“…Using (12) and the method of CPML as, 9 Equations (4)–(5) and (9)–(11) can be rewritten as

ε_{0} \frac{\partial E_{xc}}{\partial t} goodbreak+ ε_{0} j ω_{c} E_{xc}

goodbreak= κ_{y 0} \frac{\partial H_{zc}}{\partial y} goodbreak+ ((), F_{italicxy 1 c} goodbreak+ F_{italicxy 2 c}) \cdot e^{- j ω_{c} t} goodbreak- J_{xc}

ε_{0} \frac{\partial E_{yc}}{\partial t} goodbreak+ ε_{0} j ω_{c} E_{yc}

goodbreak= goodbreak- κ_{x 0} \frac{\partial H_{zc}}{\partial x} goodbreak- ((), F_{italicyx 1 c} goodbreak+ F_{italicyx 2 c}) \cdot e^{- j ω_{c} t} goodbreak- J_{yc}

μ_{0} \frac{\partial H_{zc}}{\partial t} goodbreak+ μ_{0} j ω_{c} H_{zc} goodbreak= κ_{y 0} \frac{\partial E_{xc}}{\partial y} goodbreak- κ_{x 0} \frac{\partial E_{yc}}{\partial x}

goodbreak+ ((), G_{italiczy 1 c} goodbreak+ G_{italiczy 2 c}) \cdot e^{- j ω_{c}}

…”

Section: Formulationsmentioning

confidence: 99%

“…Compared with other implements of the PML, the CPML has many advantages, and it can easily implement the complex frequency shifted PML (CFS‐PML). An improved CPML algorithm is proposed in Reference 9, and applied to the CE‐FDTD. However, the absorption effect of the first order CPML (FO‐CPML) for low‐frequency propagation waves is not ideal.…”

Section: Introductionmentioning

confidence: 99%

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Novel higher order convolutional perfectly matched layer based on complex envelope ADI‐FDTD algorithm for truncating the unmagnetized plasma

Zhao

2021

Int J RF Mic Comp-Aid Eng

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An improved higher order convolutional perfectly matched layer (HO‐CPML) algorithm is proposed, which combines the complex envelope (CE) method and the alternating direction implicit (ADI) method. This algorithm is solved by the auxiliary differential equation method in the unmagnetized plasma, so as to simulate the unconditionally stable finite‐difference‐time‐domain (FDTD). The novel HO‐CPML with fractional decomposition method different from the previous one is adopted to truncate the unmagnetized plasma, making full use of the characteristics of the HO‐CPML. The numerical example in plasma simulation shows the characteristics of the algorithm directly. According to the simulation results, the algorithm is effective, and the absorption effect is better than the conventional ADI (CL‐ADI) algorithm and the first order CPML (FO‐CPML) algorithm.

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“…Using (12) and the method of CPML as, 9 Equations (4)–(5) and (9)–(11) can be rewritten as

ε_{0} \frac{\partial E_{xc}}{\partial t} goodbreak+ ε_{0} j ω_{c} E_{xc}

goodbreak= κ_{y 0} \frac{\partial H_{zc}}{\partial y} goodbreak+ ((), F_{italicxy 1 c} goodbreak+ F_{italicxy 2 c}) \cdot e^{- j ω_{c} t} goodbreak- J_{xc}

ε_{0} \frac{\partial E_{yc}}{\partial t} goodbreak+ ε_{0} j ω_{c} E_{yc}

goodbreak= goodbreak- κ_{x 0} \frac{\partial H_{zc}}{\partial x} goodbreak- ((), F_{italicyx 1 c} goodbreak+ F_{italicyx 2 c}) \cdot e^{- j ω_{c} t} goodbreak- J_{yc}

μ_{0} \frac{\partial H_{zc}}{\partial t} goodbreak+ μ_{0} j ω_{c} H_{zc} goodbreak= κ_{y 0} \frac{\partial E_{xc}}{\partial y} goodbreak- κ_{x 0} \frac{\partial E_{yc}}{\partial x}

goodbreak+ ((), G_{italiczy 1 c} goodbreak+ G_{italiczy 2 c}) \cdot e^{- j ω_{c}}

…”

Section: Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Novel higher order convolutional perfectly matched layer based on complex envelope ADI‐FDTD algorithm for truncating the unmagnetized plasma

Zhao

2021

Int J RF Mic Comp-Aid Eng

View full text Add to dashboard Cite

show abstract

“…It is shown that the CFS-PML is highly absorptive of evanescent modes and can provide significant memory savings when computing the wave interaction of elongated structures, sharp corners, or low frequency excitations [20]. The conventional CPML cannot be directly applied in CE-FDTD environment, but with the adjustments presented in [23] it can be used for termination of CE-FDTD computational domain.…”

Section: Introductionmentioning

confidence: 99%

New approach to far field analysis for radiation pattern estimation using FDTD method

et al. 2014

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In this paper an approach to efficient computation of radiation pattern in FDTD simulation environment is presented. A necessary large distance from the radiating object is achieved by multigrid space discretization with unilaterally connected subdomains. A numerical dispersion is reduced using more general complex-envelope finite difference time domain (CE-FDTD) formulation and high order accuracy FDTD schemes where possible. In order to examine how much the introduced algorithm complexity and increased demands concerning computational power and memory are justified by the gain in accuracy, several different scenarios were considered.

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One efficient implementation of CPML in CE-FDTD algorithm

Cited by 2 publications

References 10 publications

Novel higher order convolutional perfectly matched layer based on complex envelope ADI‐FDTD algorithm for truncating the unmagnetized plasma

Novel higher order convolutional perfectly matched layer based on complex envelope ADI‐FDTD algorithm for truncating the unmagnetized plasma

New approach to far field analysis for radiation pattern estimation using FDTD method

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