Increasing Stability of Determining Both the Potential and Source for the Biharmonic Wave Equation: Increasing stability of determining both the potential and source for the biharmonic wave equation

Authors: Wang, Yuliang, Zhao, Yue

Source: East Asian Journal on Applied Mathematics. 15:225-241

Subject Terms: Inverse problems for PDEs, increasing stability, Higher-order hyperbolic equations, biharmonic wave equation, Scattering theory for PDEs, Inverse problems (including inverse scattering) in optics and electromagnetic theory, inverse scattering problem

File Description: application/xml

Access URL: https://zbmath.org/8010617
https://doi.org/10.4208/eajam.2023-205.171223

Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix: Application of MUSIC algorithm for object localization without diagonal elements of multi-static response matrix

Authors: Park, Won-Kwang

Source: Communications in Computational Physics. 37:193-219

Subject Terms: Bessel functions, numerical simulations, Inverse problems for PDEs, multi-static response (MSR) matrix, Inverse problems (including inverse scattering) in optics and electromagnetic theory, multiple signal classification (MUSIC)

File Description: application/xml

Access URL: https://zbmath.org/8013536
https://doi.org/10.4208/cicp.oa-2024-0088

Visibility, invisibility and unique recovery of inverse electromagnetic problems with conical singularities

Authors: Diao, Huaian, Fei, Xiaoxu, Liu, Hongyu, Yang, Ke

Source: Inverse Problems and Imaging. 18:541-570

Subject Terms: electromagnetic waves, Inverse problems for PDEs, locally vanishing, transmission eigenfunctions, single far-field measurement, unique recovery, 01 natural sciences, invisibility and transparency, Mathematics - Analysis of PDEs, Maxwell equations, Scattering theory for PDEs, conical singularity, FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, 0101 mathematics, geometrical inverse scattering, Diffraction, scattering, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2204.02835
https://zbmath.org/7841492
https://doi.org/10.3934/ipi.2023043

On the distribution of Born transmission eigenvalues in the complex plane

Authors: Hovsepyan, Narek

Source: Asymptotic Analysis. 136:27-60

Subject Terms: Born approximation, Eigenvalues, singular values, and eigenvectors, inverse scattering, 01 natural sciences, transmission eigenvalues, eigenvalue-free regions, Mathematics - Analysis of PDEs, Scattering theory for PDEs, FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, spherically stratified medium, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2304.09470

Geometrical Characterizations of Non-Radiating Sources at Polyhedral and Conical Corners with Applications: Geometrical characterizations of non-radiating sources at polyhedral and conical corners with applications

Authors: Diao, Huaian, Geng, Yueran, Liu, Hongyu, Yu, Qinghua

Source: Communications in Mathematical Research. 39:523-538

Subject Terms: Inverse problems for PDEs, corner singularity, non-radiating sources, Scattering theory for PDEs, Inverse problems (including inverse scattering) in optics and electromagnetic theory, single far-field measurement, inverse scattering, vanishing

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Access URL: https://zbmath.org/7812210
https://doi.org/10.4208/cmr.2023-0014

Stability for inverse potential scattering with attenuation

Authors: Rong Sun, Ganghua Yuan, Yue Zhao

Source: Journal of Differential Equations. 431:113259

Subject Terms: Inverse problems for PDEs, increasing stability, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, logarithmic stability, Scattering theory for PDEs, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Schrödinger equation, inverse scattering problem, attenuation

File Description: application/xml

Online optimisation for dynamic electrical impedance tomography

Authors: Jauhiainen Jyrki, Dizon Neil, Valkonen Tuomo, Jauhiainen Jyrki Henrik

Source: Inverse Problems. 41:055005

Subject Terms: FOS: Computer and information sciences, Inverse problems for PDEs, dynamic, EIT, optimisation, Computer Vision and Pattern Recognition (cs.CV), Computer Science - Computer Vision and Pattern Recognition, real-time, Nonlinear programming, Optimization and Control (math.OC), FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Online algorithms, streaming algorithms, Mathematics - Optimization and Control, online, electrical impedance tomography

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Access URL: http://arxiv.org/abs/2412.12944

Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology: Invisibility cloaking and transformation optics for three dimensional manifolds and applications in cosmology

Authors: Tracey Balehowsky, Matti Lassas, Pekka Pankka, Ville Sirviö

Contributors: Department of Mathematics and Statistics, Inverse Problems, Matti Lassas / Principal Investigator, Geometric Analysis and Partial Differential Equations

Source: SIAM Journal on Mathematical Analysis. 54:3420-3456

Subject Terms: cloaking, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Black holes, transformation optics, Helmhotz equation, Spectral problems, spectral geometry, scattering theory on manifolds, Transformation optics, Cloaking, 01 natural sciences, Special Riemannian manifolds (Einstein, Sasakian, etc.), Cosmic topology, 0103 physical sciences, Quantum coherence, entanglement, quantum correlations, Inverse problems (including inverse scattering) in optics and electromagnetic theory, cosmic topology, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Geometric optics, Mathematics

File Description: application/xml; application/pdf

Access URL: http://hdl.handle.net/10138/570700

A constructible conductivity cloak via homogenisation*: A constructible conductivity cloak via homogenisation

Authors: Yves Capdeboscq, Eleanor Gemida

Source: Inverse Problems. 41:035001

Subject Terms: Technical applications of optics and electromagnetic theory, Homogenization in optics and electromagnetic theory, Inverse problems for PDEs, homogenisation, Electromagnetic theory (general), Composite media, random media in optics and electromagnetic theory, laminate composites, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Spectral theory and eigenvalue problems for partial differential equations, approximate cloaking, Homogenization in context of PDEs, PDEs in media with periodic structure, PDEs in connection with optics and electromagnetic theory

File Description: application/xml

Access URL: https://zbmath.org/7988271
https://doi.org/10.1088/1361-6420/adaa98

On optimal cloaking-by-mapping transformations

Authors: Yves Capdeboscq, Michael S. Vogelius

Contributors: Capdeboscq, Yves

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 56:303-316

Subject Terms: Inverse problems for PDEs, cloak enhancement, Cloaking by mapping, approximate cloaking, 01 natural sciences, Implicit function theorems, Jacobians, transformations with several variables, Variational methods applied to PDEs, Mathematics - Analysis of PDEs, cloaking-by-mapping, optimal cloaking, FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

File Description: application/xml; application/pdf

Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/forth/m2an210161.pdf
http://arxiv.org/abs/2109.02397
https://zbmath.org/7488295
https://doi.org/10.1051/m2an/2022004
https://hal.sorbonne-universite.fr/hal-03335152v2
https://hal.sorbonne-universite.fr/hal-03335152v2/document
https://doi.org/10.1051/m2an/2022004

Extended-Sampling-Bayesian Method for Limited Aperture Inverse Scattering Problems: Extended-sampling-Bayesian method for limited aperture inverse scattering problems

Authors: Zhaoxing Li, Zhiliang Deng, Jiguang Sun

Source: SIAM Journal on Imaging Sciences. 13:422-444

Subject Terms: Numerical methods for inverse problems for boundary value problems involving PDEs, Bayesian inference, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Hydro- and aero-acoustics, extended sampling method, Bayesian inversion, inverse scattering, limited aperture, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://epubs.siam.org/doi/pdf/10.1137/19M1270501
https://doi.org/10.1137/19M1270501
https://dblp.uni-trier.de/db/journals/siamis/siamis13.html#LiDS20

Analysis of the monotonicity method for an anisotropic scatterer with a conductive boundary

Authors: Isaac Harris, Victor Hughes, Heejin Lee

Source: Inverse Problems. 40:105003

Subject Terms: Inverse problems for PDEs, anisotropic scatterer, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, monotonicity method, FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, inverse scattering, 0101 mathematics, far-field operator, 01 natural sciences, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2403.18644
https://zbmath.org/7909975
https://doi.org/10.1088/1361-6420/ad7053

Numerical method for inverse scattering by random penetrable periodic structures

Authors: Wang, Yi, Lv, Junliang, Li, Shuxin

Source: Inverse Problems and Imaging. 0:0-0

Subject Terms: Landweber iterative, Numerical methods for inverse problems for boundary value problems involving PDEs, Tikhonov regularization, penetrable periodic structures, Inverse problems (including inverse scattering) in optics and electromagnetic theory, muilti-frequency method, Monte Carlo methods, inverse scattering, stationary stochastic processes

File Description: application/xml

Access URL: https://zbmath.org/7977868
https://doi.org/10.3934/ipi.2024038

Precursors for synthetic aperture radar

Authors: Natalie A Cartwright, Kaitlyn Muller

Source: Inverse Problems. 39:064003

Subject Terms: Inverse problems for PDEs, dispersive wave propagation, Inverse problems (including inverse scattering) in optics and electromagnetic theory, imaging, precursors, 0101 mathematics, waveform design, 01 natural sciences, synthetic aperture radar

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Gaussian-windowed frame based method of moments formulation of surface-integral-equation for extended apertures

Authors: Vitaliy Lomakin, Amir Shlivinski

Source: Journal of Computational Physics. 308:289-304

Subject Terms: 2. Zero hunger, method of moments, Inverse problems (including inverse scattering) in optics and electromagnetic theory, surface integral equation, Gabor-based Gaussian window frames, 16. Peace & justice, Diffraction, scattering, frame based Gaussian beam summation method

File Description: application/xml

Access URL: http://manuscript.elsevier.com/S0021999115008475/pdf/S0021999115008475.pdf
https://zbmath.org/6666813
https://doi.org/10.1016/j.jcp.2015.12.028
https://dblp.uni-trier.de/db/journals/jcphy/jcphy308.html#ShlivinskiL16
https://doi.org/10.1016/j.jcp.2015.12.028
https://dl.acm.org/doi/10.1016/j.jcp.2015.12.028
https://www.sciencedirect.com/science/article/pii/S0021999115008475
https://ui.adsabs.harvard.edu/abs/2016JCoPh.308..289S/abstract

A Wide-Band Approach to the Absolute Phase Retrieval in SAR Interferometry: A wide-band approach to the absolute phase retrieval in SAR interferometry

Authors: Veneziani N, Bovenga F, Refice A

Source: Radar Signal Processing and Its Applications ISBN: 9781441953452
Multidimensional systems and signal processing 14 (2003): 183–205. doi:10.1023/A:1022281310882
info:cnr-pdr/source/autori:Veneziani N., Bovenga F., Refice A./titolo:A Wide-Band Approach to the Absolute Phase Retrieval in SAR Interferometry/doi:10.1023%2FA:1022281310882/rivista:Multidimensional systems and signal processing/anno:2003/pagina_da:183/pagina_a:205/intervallo_pagine:183–205/volume:14

Subject Terms: Technical applications of optics and electromagnetic theory, Signal theory (characterization, reconstruction, filtering, etc.), Permanent scatterers, Differential analys, Inverse problems (including inverse scattering) in optics and electromagnetic theory, phase unwrapping, Multifreq. analysis, SAR interferometry, Height retrieval, sub-band focusing

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/mssp/mssp14.html#VenezianiBR03
https://rd.springer.com/chapter/10.1007/978-1-4757-6342-3_9
https://link.springer.com/article/10.1023/A:1022281310882
https://doi.org/10.1023/A%3A1022281310882
https://link.springer.com/content/pdf/10.1023/A:1022281310882.pdf

Direct and inverse problems of studying the properties of multilayer nanostructures based on a two-dimensional model of X-ray reflection and scattering

Authors: R. V. Khachaturov

Source: Computational Mathematics and Mathematical Physics. 54:984-993

Subject Terms: 0103 physical sciences, multilayer nanostructures, Inverse problems (including inverse scattering) in optics and electromagnetic theory, inverse problem, quasi-optical approximation, 0101 mathematics, Statistical mechanics of nanostructures and nanoparticles, 01 natural sciences

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2014CMMPh..54..984K/abstract
https://link.springer.com/article/10.1134/S0965542514060104

Nearly cloaking the full Maxwell equations: Cloaking active contents with general conducting layers: Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers

Authors: Hongyu Liu, Jun Zou, Gang Bao

Source: Journal de Mathématiques Pures et Appliquées. 101:716-733

Subject Terms: Inverse problems for PDEs, transformation optics, invisibility cloaking, FOS: Physical sciences, Mathematical Physics (math-ph), asymptotic estimates, A priori estimates in context of PDEs, 01 natural sciences, 7. Clean energy, Mathematics - Analysis of PDEs, electromagnetic scattering, Maxwell's equations, 13. Climate action, Electromagnetic theory (general), FOS: Mathematics, Inverse problems (including inverse scattering) in optics and electromagnetic theory, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Mathematical Physics, Analysis of PDEs (math.AP), 35Q60, 78A25, 35R30

File Description: application/xml

Access URL: http://arxiv.org/abs/1305.1994
https://zbmath.org/6284918
https://doi.org/10.1016/j.matpur.2013.10.010
https://www.math.cuhk.edu.hk/~zou/publication/jmpa14.pdf
https://www.sciencedirect.com/science/article/pii/S0021782413001347
https://dialnet.unirioja.es/servlet/articulo?codigo=5179906
https://www.arxiv-vanity.com/papers/1305.1994/
http://www.math.cuhk.edu.hk/~zou/publication/jmpa13.pdf
http://www.sciencedirect.com/science/article/pii/S0021782413001347

Analysis of an approximate cloaking for acoustic scattering problems inR3: Analysis of an approximate cloaking for acoustic scattering problems in \(\mathbb R^3\)

Authors: Seungil Kim

Source: Applied Mathematics and Computation. 232:117-131

Subject Terms: Inverse problems for PDEs, singular transformation, spherical Hankel functions, 13. Climate action, spherical harmonic functions, 0103 physical sciences, spherical Bessel functions, Inverse problems (including inverse scattering) in optics and electromagnetic theory, Connections of hypergeometric functions with groups and algebras, and related topics, 0101 mathematics, acoustic cloaking, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6893606
https://doi.org/10.1016/j.amc.2013.12.171

Inverse scattering for shape and impedance

Authors: Kress, Rainer, Rundell, W.

Contributors: Kress, Rainer, Rundell, W.

Source: Inverse Problems. 17:1075-1085

Subject Terms: Inverse problems for PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Boundary value problems for second-order elliptic equations, regularized Newton iteration, impedance boundary condition, injectivity of the linearized map, Inverse problems (including inverse scattering) in optics and electromagnetic theory, scattering of time-harmonic acoustic or electromagnetic waves, Helmholtz equation, 0101 mathematics, far-field pattern, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1657925
https://doi.org/10.1088/0266-5611/17/4/334
https://iopscience.iop.org/article/10.1088/0266-5611/17/4/334
https://ui.adsabs.harvard.edu/abs/2001InvPr..17.1075K/abstract
http://iopscience.iop.org/article/10.1088/0266-5611/17/4/334/pdf
http://iopscience.iop.org/article/10.1088/0266-5611/17/4/334/meta
https://resolver.sub.uni-goettingen.de/purl?gro-2/21383