Found 285 Documents (Results 1–100)
Reconstructing the shape and material parameters of dissipative obstacles using an impedance model. (English) Zbl 07889262
Solving inverse obstacle scattering problem with latent surface representations. (English) Zbl 07867342
Stable determination of an impedance obstacle by a single far-field measurement. (English) Zbl 1542.35432
A study of the interior-resonant-mode-based Newton method for inverse scattering problems. (English) Zbl 07918271
A neural network warm-start approach for the inverse acoustic obstacle scattering problem. (English) Zbl 07715260
On finding a penetrable obstacle using a single electromagnetic wave in the time domain. (English) Zbl 1518.35675
A novel quantitative inverse scattering scheme using interior resonant modes. (English) Zbl 1518.35674
Two single-measurement uniqueness results for inverse scattering problems within polyhedral geometries. (English) Zbl 1512.35655
A direct imaging method for the exterior and interior inverse scattering problems. (English) Zbl 1498.78025
An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093
Effective medium theory for embedded obstacles in elasticity with applications to inverse problems. (English) Zbl 1495.35024
Reviewer: Yixian Gao (Changchun)
Simultaneous recovery of a locally rough interface and the embedded obstacle with its surrounding medium. (English) Zbl 1486.35477
The factorization method to reconstruct a combination of penetrable obstacle and arc. (English) Zbl 1490.35486
The direct and inverse scattering problems for penetrable and impenetrable mixed obstacles. (English) Zbl 1475.35220
Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. (English) Zbl 1471.76063
IMA J. Appl. Math. 86, No. 2, 320-348 (2021); corrigendum ibid. 87, No. 1, 129-130 (2022).
On novel geometric structures of Laplacian eigenfunctions in \(\mathbb{R}^3\) and applications to inverse problems. (English) Zbl 1461.35167
Reviewer: Andreas Kleefeld (Jülich)
Some recent progress on inverse scattering problems within general polyhedral geometry. (English) Zbl 1456.35229
A duality between scattering poles and transmission eigenvalues in scattering theory. (English) Zbl 1472.35229
A novel linear sampling method for reconstructing scattering obstacles from data at one frequency. (Chinese. English summary) Zbl 1474.35691
Uniqueness in inverse electromagnetic scattering problem with phaseless far-field data at a fixed frequency. (English) Zbl 1465.78004
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems. (English. French summary) Zbl 1452.35120
Reviewer: Khanlar R. Mamedov (Mersin)
Inverse scattering reconstruction of a three dimensional sound-soft axis-symmetric impenetrable object. (English) Zbl 1450.35288
Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. (English) Zbl 1508.78009
The enclosure method for inverse obstacle scattering over a finite time interval. VI: Using shell-type initial data. (English) Zbl 1448.35573
Determining a multi-layered fluid-solid medium from the acoustic measurements. (English) Zbl 1473.35378
Reviewer: Yixian Gao (Changchun)
Inverse obstacle scattering for elastic waves with phased or phaseless far-field data. (English) Zbl 1524.78044
Numerical solution of an inverse obstacle scattering problem for elastic waves via the Helmholtz decomposition. (English) Zbl 1473.78010
Detection of multiple impedance obstacles by non-iterative topological gradient based methods. (English) Zbl 1452.65041
The factorization method for partially penetrable obstacle in elastic scattering. (English) Zbl 1433.35390
Elastic energy regularization for inverse obstacle scattering problems. (English) Zbl 1432.35249
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. (English) Zbl 1425.35001
Applied Mathematical Sciences 93. Cham: Springer (ISBN 978-3-030-30350-1/hbk; 978-3-030-30351-8/ebook). xvii, 518 p. (2019).
On finding a buried obstacle in a layered medium via the time domain enclosure method in the case of possible total reflection phenomena. (English) Zbl 1423.35446
Uniqueness and factorization method for inverse elastic scattering with a single incoming wave. (English) Zbl 1430.35179
Reviewer: Eric Stachura (Marietta)
Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case. (English) Zbl 1414.35262
Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. (English) Zbl 1416.35253
On finding the surface admittance of an obstacle via the time domain enclosure method. (English) Zbl 1410.35284
Uniqueness in determining a sound-hard ball with the modulus of a far-field datum. (English) Zbl 1409.78004
A reference ball based iterative algorithm for imaging acoustic obstacle from phaseless far-field data. (English) Zbl 1407.78019
MSC:
78A46
A direct imaging method for inverse electromagnetic scattering problem in rectangular waveguide. (English) Zbl 1488.65582
Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. (English) Zbl 1407.65271
Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 721-740 (2018).
Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. II: Iterative method. (English) Zbl 1401.35346
On finding a buried obstacle in a layered medium via the time domain enclosure method. (English) Zbl 1397.35159
A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. (English) Zbl 1397.78035
Topological sensitivity for solving inverse multiple scattering problems in three-dimensional electromagnetism. I: One step method. (English) Zbl 1391.35423
Recovering scattering obstacles by multi-frequency phaseless far-field data. (English) Zbl 1378.35210
Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data. (English) Zbl 1516.35524
A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain. (English) Zbl 1364.35435
Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. (English) Zbl 1432.78008
Inverse inhomogeneous penetrable obstacle scattering problems in a stratified medium. (English) Zbl 1364.35440
On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method. (English) Zbl 1357.35295
An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects. (English. Russian original) Zbl 1362.37141
Theor. Math. Phys. 189, No. 1, 1450-1458 (2016); translation from Teor. Mat. Fiz. 189, No. 1, 59-68 (2016).
Reviewer: Guido Schneider (Stuttgart)
Material derivatives of boundary integral operators in electromagnetism and application to inverse scattering problems. (English) Zbl 1354.35147
Uniqueness of the solution to inverse obstacle scattering with non-over-determined data. (English) Zbl 1381.35246
The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain. (English) Zbl 1334.35428
Reverse time migration for extended obstacles: elastic waves. (Chinese. English summary) Zbl 1488.74090
Numerical solution of an inverse obstacle scattering problem with near-field data. (English) Zbl 1349.76793
A mixed impedance scattering problem for partially coated obstacles in two-dimensional linear elasticity. (English) Zbl 1455.74049
Constanda, Christian (ed.) et al., Integral methods in science and engineering. Theoretical and computational advances. Papers based on the presentations at the international conference, IMSE, Karlsruhe, Germany, July 21–25, 2014. Cham: Birkhäuser/Springer. 29-41 (2015).
On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain. (English) Zbl 1330.35530
MSC:
35R30
Reverse time migration for reconstructing extended obstacles in planar acoustic waveguides. (English) Zbl 1323.35209
Determining scattering support of anisotropic acoustic mediums and obstacles. (English) Zbl 1318.35082
Recovering a polyhedral obstacle by a few backscattering measurements. (English) Zbl 1330.78013
Reviewer: Robert F. Remis (Delft)
Regularized recursive Newton-type methods for inverse scattering problems using multifrequency measurements. (English) Zbl 1333.35344
The factorization method for scatterers with different physical properties. (English) Zbl 1304.35460
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. (English) Zbl 1335.78002
Stefanov, Plamen (ed.) et al., Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1079-7/pbk; 978-1-4704-1659-1/ebook). Contemporary Mathematics 615, 49-70 (2014).
Inverse transmission problems for magnetic Schrödinger operators. (English) Zbl 1303.35050
Reviewer: Mohan Lal Mehra (Bonn)
The factorization method for inverse acoustic scattering by a penetrable anisotropic obstacle. (English) Zbl 1290.35331
Extracting the geometry of an obstacle and a zeroth-order coefficient of a boundary condition via the enclosure method using a single reflected wave over a finite time interval. (English) Zbl 1290.35328
A modification of the factorization method for the classical acoustic inverse scattering problems. (English) Zbl 1291.35223
Reconstruction of interfaces using CGO solutions for the Maxwell equations. (English) Zbl 1298.35215
Reviewer: Aleksander Pankov (Baltimore)
Analytical methods for extracting discontinuity in inverse problems: the probe method after 10 years. (English. Japanese original) Zbl 1286.35267
Sugaku Expo. 26, No. 1, 1-28 (2013); translation from Sūgaku 62, No. 3, 289-314 (2010).
The factorization method for inverse obstacle scattering with conductive boundary condition. (English) Zbl 1285.78004
Reconstruction of obstacles embedded in waveguides. (English) Zbl 1281.78013
Li, Jichun (ed.) et al., Recent advances in scientific computing and applications. Eighth international conference on scientific computing and applications, University of Nevada, Las Vegas, NV, USA, April 1–4, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8737-0/hbk; 978-0-8218-9501-6/ebook). Contemporary Mathematics 586, 341-350 (2013).
Stability of the determination of the surface impedance of an obstacle from the scattering amplitude. (English) Zbl 1278.35265
MSC:
35R30
The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval. III: Sound-soft obstacle and bistatic data. (English) Zbl 1284.35461
Reviewer: Gunther Schmidt (Berlin)
Inverse obstacle problems with backscattering or generalized backscattering data in one or two directions. (English) Zbl 1274.78057
Reviewer: Jiguang Sun (Dover)
Analytic extension and reconstruction of obstacles from few measurements for elliptic second order operators. (English) Zbl 1263.35082
Inverse acoustic and electromagnetic scattering theory. 3rd ed. (English) Zbl 1266.35121
Applied Mathematical Sciences 93. New York, NY: Springer (ISBN 978-1-4614-4941-6/hbk; 978-1-4614-4942-3/ebook). xiv, 405 p. (2013).
Reviewer: Johannes Elschner (Berlin)
Inverse scattering by an inhomogeneous penetrable obstacle in a piecewise homogeneous medium. (English) Zbl 1274.35259
Inverse acoustic obstacle scattering problems using multifrequency measurements. (English) Zbl 1261.35154
Uniqueness in inverse electromagnetic conductive scattering by penetrable and inhomogeneous obstacles with a Lipschitz boundary. (English) Zbl 1259.78021
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Singular perturbation of reduced wave equation and scattering from an embedded obstacle. (English) Zbl 1257.35174
The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering. (English) Zbl 1255.65203
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