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A residual perfectly matched layer for wave propagation in elastic media

  • Research Article - Applied Geophysics
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Abstract

Absorbing boundary conditions are often utilized to eliminate spurious reflections that arise at the model’s truncation boundaries. The perfectly matched layer (PML) is widely considered to be very efficient artificial boundary condition. A new alternative implementation of the PML is presented. We call this method residual perfectly matched layer (RPML) because it is based on residual calculation between the original equations and the PML formulations. This new approach has the same form as the original governing equations, and the auxiliary differential equation has only one partial derivative with respect to time, which is the simplest compared to other PMLs. Therefore, the RPML shows great advantages of implementation simplicity and computational efficiency over the standard complex stretched coordinate PML. At the same time, the absorption performance is improved by adopting the complex frequency shifted stretching function; the stability of the boundary is enhanced by applying the double damping profile.

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Acknowledgements

This work is supported by The National Science Center Project: Terahertz Basic Science Center (61988102), Provincial key research and development: terahertz medical imaging (2019B090917007) and Provincial Science and Technology Plan: Construction of the Greater Bay Area Research Institute (2019B090909011).

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Authors and Affiliations

  1. Guangdong Provincial Key Laboratory of Terahertz Quantum Electromagnetics, GBA Branch of Aerospace Information Research Institute, Chinese Academy of Sciences, Guangzhou, 510530, China

    Yuqin Luo, Tao Wang, Yongdong Li, Ji Cai, Ying Wang & Guangyou Fang

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  1. Yuqin Luo
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  2. Tao Wang
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  3. Yongdong Li
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  4. Ji Cai
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  5. Ying Wang
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  6. Guangyou Fang
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Correspondence to Tao Wang.

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The authors declared that they have no conflicts of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

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Edited by Prof. Gulan Zhang (ASSOCIATE EDITOR) / Prof. Gabriela Fernández Viejo (CO-EDITOR-IN-CHIEF).

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Luo, Y., Wang, T., Li, Y. et al. A residual perfectly matched layer for wave propagation in elastic media. Acta Geophys. 72, 1561–1573 (2024). https://doi.org/10.1007/s11600-023-01145-x

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