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The weighted Doppler transform
Identification of soundsoft 3D obstacles from phaseless data
1.  Institut für Numerische und Angewandte Mathematik, University of Göttingen, Lotzestr. 1618, 37083, Göttingen, Germany 
[1] 
Olha Ivanyshyn. Shape reconstruction of acoustic obstacles from the modulus of the far field pattern. Inverse Problems and Imaging, 2007, 1 (4) : 609622. doi: 10.3934/ipi.2007.1.609 
[2] 
HuaiAn Diao, Peijun Li, Xiaokai Yuan. Inverse elastic surface scattering with farfield data. Inverse Problems and Imaging, 2019, 13 (4) : 721744. doi: 10.3934/ipi.2019033 
[3] 
Jingzhi Li, Jun Zou. A direct sampling method for inverse scattering using farfield data. Inverse Problems and Imaging, 2013, 7 (3) : 757775. doi: 10.3934/ipi.2013.7.757 
[4] 
Michael V. Klibanov. A phaseless inverse scattering problem for the 3D Helmholtz equation. Inverse Problems and Imaging, 2017, 11 (2) : 263276. doi: 10.3934/ipi.2017013 
[5] 
Brian Sleeman. The inverse acoustic obstacle scattering problem and its interior dual. Inverse Problems and Imaging, 2009, 3 (2) : 211229. doi: 10.3934/ipi.2009.3.211 
[6] 
Xiaoxu Xu, Bo Zhang, Haiwen Zhang. Uniqueness in inverse acoustic and electromagnetic scattering with phaseless nearfield data at a fixed frequency. Inverse Problems and Imaging, 2020, 14 (3) : 489510. doi: 10.3934/ipi.2020023 
[7] 
Fenglong Qu, Jiaqing Yang. On recovery of an inhomogeneous cavity in inverse acoustic scattering. Inverse Problems and Imaging, 2018, 12 (2) : 281291. doi: 10.3934/ipi.2018012 
[8] 
Lu Zhao, Heping Dong, Fuming Ma. Inverse obstacle scattering for acoustic waves in the time domain. Inverse Problems and Imaging, 2021, 15 (5) : 12691286. doi: 10.3934/ipi.2021037 
[9] 
Heping Dong, Deyue Zhang, Yukun Guo. A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless farfield data. Inverse Problems and Imaging, 2019, 13 (1) : 177195. doi: 10.3934/ipi.2019010 
[10] 
Deyue Zhang, Yukun Guo. Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory. Electronic Research Archive, 2021, 29 (2) : 21492165. doi: 10.3934/era.2020110 
[11] 
Mourad Sini, Nguyen Trung Thành. Inverse acoustic obstacle scattering problems using multifrequency measurements. Inverse Problems and Imaging, 2012, 6 (4) : 749773. doi: 10.3934/ipi.2012.6.749 
[12] 
Jianliang Li, Jiaqing Yang, Bo Zhang. A linear sampling method for inverse acoustic scattering by a locally rough interface. Inverse Problems and Imaging, 2021, 15 (5) : 12471267. doi: 10.3934/ipi.2021036 
[13] 
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki, Kanako Suzuki. Scattering and inverse scattering for nonlinear quantum walks. Discrete and Continuous Dynamical Systems, 2018, 38 (7) : 36873703. doi: 10.3934/dcds.2018159 
[14] 
Zhigang Wang. Vanishing viscosity limit of the rotating shallow water equations with far field vacuum. Discrete and Continuous Dynamical Systems, 2018, 38 (1) : 311328. doi: 10.3934/dcds.2018015 
[15] 
Georgios Fotopoulos, Markus Harju, Valery Serov. Inverse fixed angle scattering and backscattering for a nonlinear Schrödinger equation in 2D. Inverse Problems and Imaging, 2013, 7 (1) : 183197. doi: 10.3934/ipi.2013.7.183 
[16] 
Giorgio Menegatti, Luca Rondi. Stability for the acoustic scattering problem for soundhard scatterers. Inverse Problems and Imaging, 2013, 7 (4) : 13071329. doi: 10.3934/ipi.2013.7.1307 
[17] 
Jun Lai, Ming Li, Peijun Li, Wei Li. A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. Inverse Problems and Imaging, 2018, 12 (3) : 635665. doi: 10.3934/ipi.2018027 
[18] 
Charles L. Epstein, Leslie Greengard, Thomas Hagstrom. On the stability of timedomain integral equations for acoustic wave propagation. Discrete and Continuous Dynamical Systems, 2016, 36 (8) : 43674382. doi: 10.3934/dcds.2016.36.4367 
[19] 
Michael V. Klibanov, DinhLiem Nguyen, Loc H. Nguyen, Hui Liu. A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multifrequency data. Inverse Problems and Imaging, 2018, 12 (2) : 493523. doi: 10.3934/ipi.2018021 
[20] 
Michele Di Cristo. Stability estimates in the inverse transmission scattering problem. Inverse Problems and Imaging, 2009, 3 (4) : 551565. doi: 10.3934/ipi.2009.3.551 
2021 Impact Factor: 1.483
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