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Reverse time migration for imaging periodic obstacles with electromagnetic plane wave

  • Lide Cai and Junqing Chen EMAIL logo
Published/Copyright: July 25, 2023

Abstract

We propose novel reverse time migration (RTM) methods for the imaging of periodic obstacles using only measurements from the lower or upper side of the obstacle arrays at a fixed frequency. We analyze the resolution of the lower side and upper side RTM methods in terms of propagating modes of the Rayleigh expansion, Helmholtz–Kirchhoff equation and the distance of the measurement surface to the obstacle arrays, where the periodic structure leads to novel analysis. We give some numerical experiments to justify the competitive efficiency of our imaging functionals and the robustness against noises. Further, numerical experiments show sharp images especially for the vertical part of the periodic obstacle in the lower-RTM case, which is not shared by results for imaging bounded compactly supported obstacles.

MSC 2010: 78A46; 35R30; 65N21

Award Identifier / Grant number: 2019YFA0709600

Award Identifier / Grant number: 2019YFA0709602

Funding statement: The work of this author was partially supported by National Key R&D Program of China (2019YFA0709600, 2019YFA0709602).

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Received: 2023-04-27
Accepted: 2023-06-03
Published Online: 2023-07-25
Published in Print: 2024-02-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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