On the field leakage of the leapfrog ADI‐FDTD method for nonpenetrable targets

Gan, Theng Huat; Tan, Eng Leong

doi:10.1002/mop.28366

Cited by 9 publications

(2 citation statements)

References 7 publications

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“…Further analyses of the leapfrog ADI-FDTD method have been carried out including stability, dispersion [89] and divergence properties [90,91]. The method has also been extended to lossy media [92] and non-penetrable targets [93]. For the latter, there are nonphysical field leakage problems, which can be resolved with infinite permittivity approach.…”

Section: Fundamental Implicit Scheme For Leapfrog Adi-fdtd Methodsmentioning

confidence: 99%

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Tan¹

2020

PIER

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This paper presents an overview and review of the fundamental implicit finite-difference time-domain (FDTD) schemes for computational electromagnetics (CEM) and educational mobile apps. The fundamental implicit FDTD schemes are unconditionally stable and feature the most concise update procedures with matrix-operator-free right-hand sides (RHS). We review the developments of fundamental implicit schemes, which are simpler and more efficient than all previous implicit schemes having RHS matrix operators. They constitute the basis of unification for many implicit schemes including classical ones, providing insights into their interrelations along with simplifications, concise updates and efficient implementations. Based on the fundamental implicit schemes, further developments can be carried out more conveniently. Being the core CEM on mobile apps, the multiple one-dimensional (M1-D) FDTD methods are also reviewed. To simulate multiple transmission lines, stubs and coupled transmission lines efficiently, the M1-D explicit FDTD method as well as the unconditionally stable M1-D fundamental alternating direction implicit (FADI) FDTD and coupled line (CL) FDTD methods are discussed. With the unconditional stability of FADI methods, the simulations are fast-forwardable with enhanced efficiency. This is very useful for quick concept illustrations or phenomena demonstrations during interactive teaching and learning. Besides time domain, many frequency-domain methods are well-suited for further developments of useful mobile apps as well.

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Section: Fundamental Implicit Scheme For Leapfrog Adi-fdtd Methodsmentioning

confidence: 99%

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Tan¹

2020

PIER

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“…Another interesting finding is that, for lossy scheme, it is likely to suffer from leakage problem, that is, there are nonzero internal fields present even though it is inside a perfect electric conducting shell. This phenomenon is illustrated and analyzed in Reference .…”

Section: Introductionmentioning

confidence: 99%

Efficient one‐step leapfrog ADI‐FDTD for far‐field scattering calculation of lossy media

Zou

Liu

Zhang

et al. 2020

Micro & Optical Tech Letters

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Free from the Courant‐Friedrichs‐Lewy (CFL) stability condition and sub‐step computations, the one‐step leapfrog alternative‐direction‐implicit finite‐difference time‐domain (ADI‐FDTD) method is very efficient in dealing with fine grid problems. In this letter, a one‐step leapfrog ADI‐FDTD method for three‐dimensional far‐field scattering simulation method for lossy media is proposed. A novel total field/scattering field (TF/SF) implementation is derived for the one‐step leapfrog ADI‐FDTD, providing the computational flexibility in far‐field electromagnetic (EM) scattering calculation. The auxiliary matrices are introduced to further improve its efficiency for lossy media. The simulation results show that there is a good agreement between the proposed one‐step leapfrog ADI‐FDTD method and Yee's FDTD in solving the far‐field scattering problem and benefits in performance were encountered when using the proposed method.

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Fundamental Leapfrog ADI and CDI FDTD Methods

Tan

2021

2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (APS/URSI)

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On the field leakage of the leapfrog ADI‐FDTD method for nonpenetrable targets

Cited by 9 publications

References 7 publications

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Fundamental Implicit FDTD Schemes for Computational Electromagnetics and Educational Mobile Apps (Invited Review)

Efficient one‐step leapfrog ADI‐FDTD for far‐field scattering calculation of lossy media

Fundamental Leapfrog ADI and CDI FDTD Methods

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