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Associate Professor
Biography
Prof. Zhang is an Assistant Professor at HKUST. Before the current position, he was a postdoc at DMA, ENS, Paris.Research Interests
Applied Math, Inverse Problems, Wave Propagation, Imaging, Superresolution.Teaching
 MATH5285 Applied Analysis
Selected Publications
Article

A rigorous theory on electromagnetic diffraction by a planar aperture in a perfectly conducting screen
 Author(s): Liang, Ying; Zhang, Hai
 Source: Journal of Mathematical Physics, v. 65, (7), July 2024, article number 072902
 Year: 2024

IFF: A Superresolution Algorithm for Multiple Measurements
 Author(s): Fei, Zetao; Zhang, Hai
 Source: SIAM Journal on Imaging Sciences, v. 16, (4), December 2023, p. 21752201
 Year: 2023

Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles
 Author(s): Li, Wei; Lin, Junshan; Zhang, Hai
 Source: SIAM Journal on Applied Mathematics, v. 83, (4), August 2023, p. 15461571
 Year: 2023

Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap
 Author(s): Junshan, Lin; Wangtao, Lu; Zhang, Hai
 Source: Multiscale Modeling and Simulation, v. 21, (3), September 2023, p. 10121052
 Year: 2023

Bulkinterface correspondences for onedimensional topological materials with inversion symmetry
 Author(s): Thiang, Guo Chuan; Zhang, Hai
 Source: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 479, (2270), February 2023, article number 20220675
 Year: 2023

A mathematical theory of the computational resolution limit in one dimension
 Author(s): Liu, Ping; Zhang, Hai
 Source: Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 402446
 Year: 2022

Mathematical theory for topological photonic materials in one dimension
 Author(s): Lin, Junshan; Zhang, Hai
 Source: Journal of Physics A: Mathematical and Theoretical, v. 55, (49), December 2022, article number 495203
 Year: 2022

Sensitivity of resonance frequency in the detection of thin layer using nanoslit structures
 Author(s): Lin, Junshan; Oh, SangHyun; Zhang, Hai
 Source: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), v. 86, (1), February 2021, p. 146164
 Year: 2021

A mathematical theory of computational resolution limit in multidimensional spaces
 Author(s): Liu, Ping; Zhang, Hai
 Source: Inverse Problems, v. 37, (10), October 2021, article number 104001
 Year: 2021

A Theory of Computational Resolution Limit for Line Spectral Estimation
 Author(s): Liu, Ping; Zhang, Hai
 Source: IEEE Transactions on Information Theory, v. 67, (7), July 2021, p. 48124827
 Year: 2021

A Mathematical theory for fano resonance in a periodic array of narrow slits
 Author(s): Lin, Junshan; Shipman, Stephen P.; Zhang, Hai
 Source: SIAM Journal on Applied Mathematics, v. 80, (5), September 2020, p. 20452070
 Year: 2020

Superresolution Imaging via Subwavelength Hole Resonances
 Author(s): Lin, Junshan; Zhang, Hai
 Source: Physical Review Applied, v. 14, (3), 3 September 2020, article number 034066
 Year: 2020

Fano resonance in metallic grating via strongly coupled subwavelength resonators
 Author(s): Lin, Junshan; Zhang, Hai
 Source: European Journal of Applied Mathematics, v. 32, (2), 30 June 2020, p. 370394
 Year: 2020

Photonic Band Gap Phenomenon in a Metal–Dielectric Periodic Structure
 Author(s): Santosa, Fadil; Zhang, Hai
 Source: Research in Mathematical Sciences, v. 7, (3), September 2020, article number 15
 Year: 2020

Characterization of the Essential Spectrum of the Neumannpoincaré Operator in 2D Domains With Corner via Weyl Sequences
 Author(s): Bonnetier, Eric; Zhang, Hai
 Source: Revista Matematica Iberoamericana, v. 35, (3), 2019, p. 925948
 Year: 2019

The plasmonic resonances of a bowtie antenna
 Author(s): Bonnetier, Eric; Triki, Faouzi; Dapogny, Charles; Zhang, Hai
 Source: Analysis in Theory and Applications, v. 35, (1), April 2019, p. 85116
 Year: 2019

An Integral Equation Method for Numerical Computation of Scattering Resonances in a Narrow Metallic Slit
 Author(s): Lin, Junshan; Zhang, Hai
 Source: Journal of Computational Physics, v. 385, May 2019, p. 75105
 Year: 2019

Doublenegative acoustic metamaterials
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
 Source: Quarterly of Applied Mathematics, v. 77, (4), December 2019, p. 767791
 Year: 2019

Bloch Waves in Bubbly Crystal Near the First Band Gap: A Highfrequency Homogenization Approach
 Author(s): Ammari, Habib; Lee, Hyundae; Zhang, Hai
 Source: SIAM Journal on Mathematical Analysis, v. 51, (1), January 2019, p. 4559
 Year: 2019

Mathematical Analysis of Surface Plasmon Resonance by a NanoGap in the Plasmonic Metal
 Author(s): Lin, Junshan; Zhang, Hai
 Source: SIAM Journal on Mathematical Analysis, v. 51, (6), 2019, p. 44484489
 Year: 2019

Shape reconstruction of nanoparticles from their associated plasmonic resonances
 Author(s): Ammari, Habib; Putinar, Mihai; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Source: Journal des Mathematiques Pures et Appliquees, v.122, February 2019, p. 2348
 Year: 2019

Scattering by a Periodic Array of Subwavelength Slits II: Surface Bound States, Total Transmission, and Field Enhancement in Homogenization Regimes
 Author(s): Lin, Junshan; Zhang, Hai
 Source: Multiscale Modeling & Simulation, v. 16, (2), 2018, p. 954990
 Year: 2018

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime
 Author(s): Zhang, Hai; Lin, Junshan
 Source: Multiscale Modeling & Simulation, v. 16, (2), May 2018, p. 922953
 Year: 2018

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data
 Author(s): Amman, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Source: SIAM Journal on Imaging Sciences, v. 11, (1), January 2018, p. 123
 Year: 2018

Field Expansions for Systems of Strongly Coupled Plasmonic Nanoparticles
 Author(s): Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Source: SIAM Journal on Numerical Analysis, v. 56, (4), July 2018, p. 20292044
 Year: 2018

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime
 Author(s): Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Source: SIAM Journal on Imaging Sciences, v. 11, (3), 2018, p. 19311953
 Year: 2018

Minnaert Resonances for Acoustic Waves in Bubbly Media
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
 Source: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 35, (7), November 2018, p. 19751998
 Year: 2018

Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case
 Author(s): Ammari, Habib; Millien, Pierre; Ruiz, Matias; Zhang, Hai
 Source: Archive for Rational Mechanics and Analysis, v. 224, (2), May 2017, p. 597658
 Year: 2017

Stability for the Lens Rigidity Problem
 Author(s): Bao, Gang; Zhang, Hai
 Source: Archive For Rational Mechanics and Analysis, 225, 3, September 2017, p. 11271160
 Year: 2017

Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
 Author(s): Lin, Junshan; Zhang, Hai
 Source: SIAM Journal on Applied Mathematics, v. 77, (3), 2017, p. 951976
 Year: 2017

Subwavelength Phononic Bandgap Opening in Bubbly Media
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
 Source: Journal of Differential Equations, v. 263, (9), November 2017, p. 56105629
 Year: 2017

Subwavelength Focusing of Acoustic Waves in Bubbly Media
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
 Source: PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, v.473, (2208), December 2017, article number 20170469
 Year: 2017

A Mathematical and Numerical Framework for Bubble Metascreens
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
 Source: SIAM Journal on Applied Mathematics, v. 77, (5), October 2017, p. 18271850
 Year: 2017

Effective Medium Theory for Acoustic Waves in Bubbly Fluids Near Minnaert Resonant Frequency
 Author(s): Ammari, Habib; Zhang, Hai
 Source: SIAM Journal on Mathematical Analysis, v.49, (4), August 2017, p. 32523276
 Year: 2017

Mathematical and Numerical Framework for Metasurfaces Using Thin Layers of Periodically Distributed Plasmonic Nanoparticles
 Author(s): Ammari, Habib; Ruiz, Matias; Wu, Wei; Yu, Sanghyeon; Zhang, Hai
 Source: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 472, (2193), September 2016, article number 20160445
 Year: 2016

Mathematical Analysis of Plasmonic Resonances for Nanoparticles: The Full Maxwell Equations
 Author(s): Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Source: Journal of Differential Equations, v. 261, (6), September 2016, p. 36153669
 Year: 2016

Stability analysis for Magnetic Resonance Elastography
 Author(s): Habib, Ammari; Alden, Waters; Zhang, Hai
 Source: Journal of Mathematical Analysis and Applications, v. 430, (2), October 2015, p. 919931
 Year: 2015

Superresolution in Highcontrast Media
 Author(s): Habib, Ammari; Zhang, Hai
 Source: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 471, (2178), June 2015, article number 20140946
 Year: 2015

A Mathematical Theory of SuperResolution by Using a System of SubWavelength Helmholtz Resonators
 Author(s): Habib, Ammari; Zhang, Hai
 Source: Communications in Mathematical Physics, v. 337, (1), July 2015, p. 379428
 Year: 2015

Unique Determination of Periodic Polyhedral Structures by Scattered Electromagnetic Fields II: the Resonance Case
 Author(s): Gang, Bao; Jun, Zou; Zhang, Hai
 Source: ransactions of the American Mathematical Society, v. 336, (3), MAR 2014, p. 13331361
 Year: 2014

Sensitive Analysis of an Inverse Problem for the Wave Equation with Caustics
 Author(s): Gang, Bao; Zhang, Hai
 Source: Journal of the American Mathematical Society, v. 27, (4), October 2014, p. 953981
 Year: 2014

A Convergent Multiscale Gaussian Beam Parametrix for Wave Equations
 Author(s): Gang, Bao; Qian, Jianliang; Ying, Lexing; Zhang, Hai
 Source: Communications in Partial Differential Equations, v. 38, (1), January 2013, p. 92134
 Year: 2013

Unique determination of periodic polyhedral structures by scattered electromagnetic fields
 Author(s): Gang, Bao; Zhang, Hai; Jun, Zou
 Source: Transactions of the American Mathematical Society, v. 363, (9), 2011, p. 45274551
 Year: 2011

Recovery of polyhedral obstacles by a single farfield measurement
 Author(s): Liu, Hongyu; Jun, Zou; Zhang, Hai
 Source: Journal of Mathematical Physics, v, 50, (12), 2009, p. 123506
 Year: 2009
Book

Mathematical and Computational Methods in Photonics and Phononics
 Author(s): Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
 Year: 2018
Conference paper

Imaging, MultiScale and High Contrast PDE
 Author(s): Zhang, Hai
 Year: 2014

Stability/sensitivity of Recovering Velocity Fields from Boundary Measurements
 Author(s): Zhang, Hai
 Year: 2013