A novel CFS‐PML boundary condition for transient electromagnetic simulation using a fictitious wave domain method

Hu, Yanpu; Egbert, G. D.; Ji, Yanju; Fang, Guangyou

doi:10.1002/2016rs006160

Cited by 14 publications

(6 citation statements)

References 33 publications

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“…), perfectly matched layer absorbing boundary conditions (Mittet ; Li and Huang ; de la Kethulle de Ryhove and Mittet ; Hu et al . ; Li et al . ) and hybrid algorithms (Yoon et al .…”

Section: Introductionmentioning

confidence: 99%

A finite‐element time‐domain forward‐modelling algorithm for transient electromagnetics excited by grounded‐wire sources

Cai

et al. 2020

Geophysical Prospecting

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A B S T R A C TA three-dimensional finite-element time-domain forward-modelling algorithm is developed to simulate transient electromagnetics excited by grounded-wire sources. The main advantage of this finite-element time-domain algorithm is that full transmitting-current waveforms and complex-shaped sources resulting from topography can be directly dealt with in this algorithm. The models used to test this algorithm include a homogeneous half-space model, a stratified-medium model, the model of a complex conductor at a vertical contact and the Ovoid Zone massive sulfide deposit at Voisey's Bay, Canada. The homogeneous half-space model is used to determine the truncation boundary for a computational domain, and to compare with the electromagnetic responses excited by step-off, step-on and direct current waveforms. For the stratified-medium model, results demonstrate that full transmitting waveforms have strong effects on the observed electromagnetic responses. The model of a complex conductor at a vertical contact is designed for the grounded electrical source airborne transient electromagnetic method and is also used to examine the effectiveness of the broadside and inline configurations for such a vertical, thin plate embedded in the subsurface. The area of the Ovoid Zone massive sulfide deposit possesses non-negligible topography, the effects of which on the shapes of the grounded-wire sources must be taken into account when implementing the finite-element time-domain solver. The results show that both the broadside and inline electromagnetic responses are strongly affected by the massive conductive ore body.

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“…), perfectly matched layer absorbing boundary conditions (Mittet ; Li and Huang ; de la Kethulle de Ryhove and Mittet ; Hu et al . ; Li et al . ) and hybrid algorithms (Yoon et al .…”

Section: Introductionmentioning

confidence: 99%

A finite‐element time‐domain forward‐modelling algorithm for transient electromagnetics excited by grounded‐wire sources

Cai

et al. 2020

Geophysical Prospecting

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“…However, the theory of PML proposed by Berenger does not follow from Maxwell's equations and its physical mechanism is fuzzy. In addition, the calculation of electromagnetic field splitting based on PML boundary condition increases the computational memory and difficulties of numerical implementation [34] [37]. Moreover, the PML boundary condition only has a good effect on absorbing traveling wave but has a poor effect on absorbing low-frequency wave, grazing angle wave and evanescent wave with small incident angles.…”

Section: Introductionmentioning

confidence: 99%

Non-Split PML Boundary Condition for Finite Element Time-Domain Modeling of Ground Penetrating Radar

Zhi¹,

Wang²,

Wang³

et al. 2019

JAMP

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As a highly efficient absorbing boundary condition, Perfectly Matched Layer (PML) has been widely used in Finite Difference Time Domain (FDTD) simulation of Ground Penetrating Radar (GPR) based on the first order electromagnetic wave equation. However, the PML boundary condition is difficult to apply in GPR Finite Element Time Domain (FETD) simulation based on the second order electromagnetic wave equation. This paper developed a non-split perfectly matched layer (NPML) boundary condition for GPR FETD simulation based on the second order electromagnetic wave equation. Taking two-dimensional TM wave equation as an example, the second order frequency domain equation of GPR was derived according to the definition of complex extending coordinate transformation. Then it transformed into time domain by means of auxiliary differential equation method, and its FETD equation is derived based on Galerkin method. On this basis, a GPR FETD forward program based on NPML boundary condition is developed. The merits of NPML boundary condition are certified by compared with wave field snapshots, signal and reflection errors of homogeneous medium model with split and non-split PML boundary conditions. The comparison demonstrated that the NPML algorithm can reduce memory occupation and improve calculation efficiency. Furthermore, numerical simulation of a complex model verifies the good absorption effects of the NPML boundary condition in complex structures.

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“…Yu et al improved the C-PML parameters to absorb low-frequency electromagnetic waves in both the ground and the air and observed good absorption [23]. Furthermore, Hu et al applied the CFS-PML within a fictitious wave domain and discussed the selection of various CFS parameters [24]. Zhao et al improved the discretization of Maxwell's divergence equation in the CFS-PML boundary based on a uniform time-step [25].…”

Section: Introductionmentioning

confidence: 99%

Reduction of Electromagnetic Reflections in 3D Airborne Transient Electromagnetic Modeling: Application of the CFS-PML in Source-Free Media

Zhao

et al. 2018

International Journal of Antennas and Propagation

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To solve the problem of electromagnetic reflections caused by the termination of finite-difference time-domain (FDTD) grids, we apply the complex frequency-shifted perfectly matched layer (CFS-PML) to airborne transient electromagnetic (ATEM) modeling in a source-free medium. To implement the CFS-PML, two important aspects are improved. First, our method adopts the source-free Maxwell’s equations as the governing equations and introduces the divergence condition, consequently, the discrete form of Maxwell’s third equation is derived with regard to the CFS-PML form. Second, because our method adopts an inhomogeneous time-step, a recursive formula composed of convolution items based on a nonuniform time-step is proposed. The proposed approach is verified via a calculation of the electromagnetic response using homogeneous half-space models with different conductivities. The results show that the CFS-PML can reduce a 60 dB relative errors in late times. Moreover, this approach is also applied to 3D anomalous models; the results indicate that the proposed method can reduce reflections and substantially improve the identification of anomalous bodies. Consequently, the CFS-PML has good implications for ATEM modeling in a source-free medium.

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A novel CFS‐PML boundary condition for transient electromagnetic simulation using a fictitious wave domain method

Cited by 14 publications

References 33 publications

A finite‐element time‐domain forward‐modelling algorithm for transient electromagnetics excited by grounded‐wire sources

A finite‐element time‐domain forward‐modelling algorithm for transient electromagnetics excited by grounded‐wire sources

Non-Split PML Boundary Condition for Finite Element Time-Domain Modeling of Ground Penetrating Radar

Reduction of Electromagnetic Reflections in 3D Airborne Transient Electromagnetic Modeling: Application of the CFS-PML in Source-Free Media

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