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Imaging Sci."],"published-print":{"date-parts":[[2024,3,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in two dimensions. A direct imaging method is proposed to reconstruct the locally rough interface from the phaseless total-field data measured on the upper half of the circle with a large radius at a fixed frequency or from the phased far-field data measured on the upper half of the unit circle at a fixed frequency. The presence of the locally rough interface poses challenges in the theoretical analysis of the imaging methods. To address these challenges, a technically involved asymptotic analysis is provided for the relevant oscillatory integrals involved in the imaging methods, based mainly on the techniques and results in our recent work [L. Li, J. Yang, B. Zhang, and H. Zhang, arXiv:2208.00456 , 2022] on the uniform far-field asymptotics of the scattered field for acoustic scattering in a two-layered medium. Finally, extensive numerical experiments are conducted to demonstrate the feasibility and robustness of our imaging algorithms.<\/jats:p>","DOI":"10.1137\/23m1571393","type":"journal-article","created":{"date-parts":[[2024,1,24]],"date-time":"2024-01-24T04:02:48Z","timestamp":1706068968000},"page":"188-224","source":"Crossref","is-referenced-by-count":4,"title":["Direct Imaging Methods for Reconstructing a Locally Rough Interface from Phaseless Total-Field Data or Phased Far-Field Data"],"prefix":"10.1137","volume":"17","author":[{"given":"Long","family":"Li","sequence":"first","affiliation":[{"name":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiansheng","family":"Yang","sequence":"additional","affiliation":[{"name":"LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7355-0941","authenticated-orcid":true,"given":"Bo","family":"Zhang","sequence":"additional","affiliation":[{"name":"LSEC and Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China, and School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4035-4754","authenticated-orcid":true,"given":"Haiwen","family":"Zhang","sequence":"additional","affiliation":[{"name":"Corresponding author. 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