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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 6
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Uniqueness of two phaseless non-overdetermined inverse acoustics problems in 3-d

Michael V. KlibanovDepartment of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC28223, USA.Correspondence[email protected]
Pages 1135-1149 | Received 09 Apr 2013, Accepted 18 Jun 2013, Published online: 08 Jul 2013

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V. G. Romanov. (2022) A phaseless inverse problem for electrodynamic equations in the dispersible medium. Applicable Analysis 101:10, pages 3755-3774.
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Articles from other publishers (28)

Tian Niu, Junliang Lv & Dan Wu. (2023) Uniqueness in phaseless inverse electromagnetic scattering problem with known superposition of incident electric dipoles. Mathematical Methods in the Applied Sciences 46:17, pages 17692-17703.
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Sergey I. Kabanikhin. (2022) Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov. Journal of Inverse and Ill-posed Problems 30:1, pages 1-4.
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Mikhail Yur'evich Kokurin. (2022) Completeness of asymmetric products of harmonic functions and uniqueness of the solution to the Lavrent'ev equation in inverse wave sounding problems. Izvestiya: Mathematics 86:6, pages 1123-1142.
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Mikhail Yur'evich Kokurin. (2022) Полнота асимметричных произведений гармонических функций и единственность решения уравнения М. М. Лаврентьева в обратных задачах волнового зондированияCompleteness of asymmetric products of harmonic functions and uniqueness of the solution to the Lavrent'ev equation in inverse wave sounding problems. Известия Российской академии наук. Серия математическая Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 86:6, pages 101-122.
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M. Yu. Kokurin. (2021) On the Uniqueness of the Solution of the Inverse Coefficient Problem for the Helmholtz Equation in a Phaseless Spatially Nonoverdetermined Statement. Differential Equations 57:9, pages 1136-1141.
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Deyue Zhang & Yukun Guo. (2021) Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory. Electronic Research Archive 29:2, pages 2149-2165.
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Weishi Yin, Wenhong Yang & Hongyu Liu. (2020) A neural network scheme for recovering scattering obstacles with limited phaseless far-field data. Journal of Computational Physics 417, pages 109594.
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V. G. Romanov. (2020) Phaseless Inverse Problems for Schrödinger, Helmholtz, and Maxwell Equations. Computational Mathematics and Mathematical Physics 60:6, pages 1045-1062.
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Michael V. Klibanov, Dinh-Liem Nguyen & Loc H. Nguyen. (2019) A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data. SIAM Journal on Applied Mathematics 79:1, pages 1-27.
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Xia Ji, Xiaodong Liu & Bo Zhang. (2019) Phaseless inverse source scattering problem: Phase retrieval, uniqueness and direct sampling methods. Journal of Computational Physics: X 1, pages 100003.
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Vladimir G. Romanov & Masahiro Yamamoto. (2018) Phaseless inverse problems with interference waves. Journal of Inverse and Ill-posed Problems 26:5, pages 681-688.
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Patrick Bardsley, Maxence Cassier & Fernando Guevara Vasquez. (2018) Imaging small polarizable scatterers with polarization data. Inverse Problems 34:10, pages 104002.
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A. L. Karchevsky & V. A. Dedok. (2018) Reconstruction of Permittivity from the Modulus of a Scattered Electric Field. Journal of Applied and Industrial Mathematics 12:3, pages 470-478.
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Pengwen Chen, Albert Fannjiang & Gi-Ren Liu. (2017) Phase Retrieval with One or Two Diffraction Patterns by Alternating Projections with the Null Initialization. Journal of Fourier Analysis and Applications 24:3, pages 719-758.
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V. G. Romanov. (2018) Phaseless Inverse Problems That Use Wave Interference. Siberian Mathematical Journal 59:3, pages 494-504.
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Michael V. Klibanov, Nikolay A. Koshev, Dinh-Liem Nguyen, Loc H. Nguyen, Aaron Brettin & Vasily N. Astratov. (2018) A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data. SIAM Journal on Imaging Sciences 11:4, pages 2339-2367.
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Michael V Klibanov & Vladimir G Romanov. (2017) Uniqueness of a 3-D coefficient inverse scattering problem without the phase information. Inverse Problems 33:9, pages 095007.
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V. G. Romanov. (2017) The problem of recovering the permittivity coefficient from the modulus of the scattered electromagnetic field. Siberian Mathematical Journal 58:4, pages 711-717.
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Michael V. Klibanov. (2017) A phaseless inverse scattering problem for the 3-D Helmholtz equation. Inverse Problems and Imaging 11:2, pages 263-276.
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Michael V. Klibanov, Loc H. Nguyen & Kejia Pan. (2016) Nanostructures imaging via numerical solution of a 3-D inverse scattering problem without the phase information. Applied Numerical Mathematics 110, pages 190-203.
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Patrick Bardsley & Fernando Guevara Vasquez. (2016) Kirchhoff migration without phases. Inverse Problems 32:10, pages 105006.
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Lung-Hui Chen. (2016) Remarks on the Phaseless Inverse Uniqueness of a Three-Dimensional Schrödinger Scattering Problem. Advances in Mathematical Physics 2016, pages 1-8.
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Michael V. Klibanov & Vladimir G. Romanov. (2016) Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information. SIAM Journal on Applied Mathematics 76:1, pages 178-196.
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Michael V Klibanov & Vladimir G Romanov. (2016) Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation. Inverse Problems 32:1, pages 015005.
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R.G. Novikov. (2015) Formulas for phase recovering from phaseless scattering data at fixed frequency. Bulletin des Sciences Mathématiques 139:8, pages 923-936.
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Simon Maretzke. (2015) A uniqueness result for propagation-based phase contrast imaging from a single measurement. Inverse Problems 31:6, pages 065003.
Crossref
Ozan Öktem. 2015. Handbook of Mathematical Methods in Imaging. Handbook of Mathematical Methods in Imaging 937 1031 .
O. Öktem. 2020. Handbook of Mathematical Methods in Imaging. Handbook of Mathematical Methods in Imaging 1 83 .

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