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Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory

  • Received: 01 May 2020 Revised: 01 September 2020 Published: 19 October 2020
  • Primary:78A46, 74J25;Secondary:45Q05, 35R30, 31B20

  • This article is an overview on some recent advances in the inverse scattering problems with phaseless data. Based upon our previous studies on the uniqueness issues in phaseless inverse acoustic scattering theory, this survey aims to briefly summarize the relevant rudiments comprising prototypical model problems, major results therein, as well as the rationale behind the basic techniques. We hope to sort out the essential ideas and shed further lights on this intriguing field.

    Citation: Deyue Zhang, Yukun Guo. Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory[J]. Electronic Research Archive, 2021, 29(2): 2149-2165. doi: 10.3934/era.2020110

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  • This article is an overview on some recent advances in the inverse scattering problems with phaseless data. Based upon our previous studies on the uniqueness issues in phaseless inverse acoustic scattering theory, this survey aims to briefly summarize the relevant rudiments comprising prototypical model problems, major results therein, as well as the rationale behind the basic techniques. We hope to sort out the essential ideas and shed further lights on this intriguing field.



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