Faculty Profiles - ZHANG Hai | The Hong Kong University of Science and Technology

Hai ZHANG
張海

PhD in Mathematics
Michigan State University, 2013

Associate Professor
Department of Mathematics

(852) 2358 7439
haizhang@ust.hk
Room 3449
Personal Web

ORCID

0000-0002-5494-001X

Scopus ID

57191330626

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Applied mathematics
Inverse problems and imaging
Wave physics

Publications

All Years 47 2024 1 2023 4 2022 2 2021 3 2020 4 2019 7 2018 26

2024 1

A rigorous theory on electromagnetic diffraction by a planar aperture in a perfectly conducting screen

Journal of Mathematical Physics, v. 65, (7), July 2024, article number 072902, p. 1-12
Liang, Ying; Zhang, Hai
Article

2023 4

Bulk-interface correspondences for one-dimensional topological materials with inversion symmetry

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 479, (2270), February 2023, article number 20220675
Thiang, Guo Chuan; Zhang, Hai
Article

Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles

SIAM Journal on Applied Mathematics, v. 83, (4), August 2023, p. 1546-1571
Li, Wei; Lin, Junshan; Zhang, Hai
Article

IFF: A Superresolution Algorithm for Multiple Measurements

SIAM Journal on Imaging Sciences, v. 16, (4), December 2023, p. 2175-2201
Fei, Zetao; Zhang, Hai
Article

Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap

Multiscale Modeling and Simulation, v. 21, (3), September 2023, p. 1012-1052
Junshan, Lin; Wangtao, Lu; Zhang, Hai
Article

2022 2

A mathematical theory of the computational resolution limit in one dimension

Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 402-446
Liu, Ping; Zhang, Hai
Article

Mathematical theory for topological photonic materials in one dimension

Journal of Physics A: Mathematical and Theoretical, v. 55, (49), December 2022, article number 495203
Lin, Junshan; Zhang, Hai
Article

2021 3

A mathematical theory of computational resolution limit in multi-dimensional spaces

Inverse Problems, v. 37, (10), October 2021, article number 104001
Liu, Ping; Zhang, Hai
Article

A Theory of Computational Resolution Limit for Line Spectral Estimation

IEEE Transactions on Information Theory, v. 67, (7), July 2021, p. 4812-4827
Liu, Ping; Zhang, Hai
Article

Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), v. 86, (1), February 2021, p. 146-164
Lin, Junshan; Oh, Sang-Hyun; Zhang, Hai
Article

2020 4

A Mathematical theory for fano resonance in a periodic array of narrow slits

SIAM Journal on Applied Mathematics, v. 80, (5), September 2020, p. 2045-2070
Lin, Junshan; Shipman, Stephen P.; Zhang, Hai
Article

Fano resonance in metallic grating via strongly coupled subwavelength resonators

European Journal of Applied Mathematics, v. 32, (2), 30 June 2020, p. 370-394
Lin, Junshan; Zhang, Hai
Article

Photonic Band Gap Phenomenon in a Metal–Dielectric Periodic Structure

Research in Mathematical Sciences, v. 7, (3), September 2020, article number 15
Santosa, Fadil; Zhang, Hai
Article

Superresolution Imaging via Subwavelength Hole Resonances

Physical Review Applied, v. 14, (3), 3 September 2020, article number 034066
Lin, Junshan; Zhang, Hai
Article

2019 7

An Integral Equation Method for Numerical Computation of Scattering Resonances in a Narrow Metallic Slit

Journal of Computational Physics, v. 385, May 2019, p. 75-105
Lin, Junshan; Zhang, Hai
Article

Bloch Waves in Bubbly Crystal Near the First Band Gap: A High-frequency Homogenization Approach

SIAM Journal on Mathematical Analysis, v. 51, (1), January 2019, p. 45-59
Ammari, Habib; Lee, Hyundae; Zhang, Hai
Article

Characterization of the Essential Spectrum of the Neumann-poincaré Operator in 2D Domains With Corner via Weyl Sequences

Revista Matematica Iberoamericana, v. 35, (3), 2019, p. 925-948
Bonnetier, Eric; Zhang, Hai
Article

Double-negative acoustic metamaterials

Quarterly of Applied Mathematics, v. 77, (4), December 2019, p. 767-791
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
Article

Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal

SIAM Journal on Mathematical Analysis, v. 51, (6), 2019, p. 4448-4489
Lin, Junshan; Zhang, Hai
Article

Shape reconstruction of nanoparticles from their associated plasmonic resonances

Journal des Mathematiques Pures et Appliquees, v.122, February 2019, p. 23-48
Ammari, Habib; Putinar, Mihai; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

The plasmonic resonances of a bowtie antenna

Analysis in Theory and Applications, v. 35, (1), April 2019, p. 85-116
Bonnetier, Eric; Triki, Faouzi; Dapogny, Charles; Zhang, Hai
Article

2018 7

Field Expansions for Systems of Strongly Coupled Plasmonic Nanoparticles

SIAM Journal on Numerical Analysis, v. 56, (4), July 2018, p. 2029-2044
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Minnaert Resonances for Acoustic Waves in Bubbly Media

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 35, (7), November 2018, p. 1975-1998
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data

SIAM Journal on Imaging Sciences, v. 11, (1), January 2018, p. 1-23
Amman, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime

SIAM Journal on Imaging Sciences, v. 11, (3), 2018, p. 1931-1953
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime

Multiscale Modeling & Simulation, v. 16, (2), May 2018, p. 922-953
Zhang, Hai; Lin, Junshan
Article

Scattering by a Periodic Array of Subwavelength Slits II: Surface Bound States, Total Transmission, and Field Enhancement in Homogenization Regimes

Multiscale Modeling & Simulation, v. 16, (2), 2018, p. 954-990
Lin, Junshan; Zhang, Hai
Article

Mathematical and Computational Methods in Photonics and Phononics

Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Book

2017 7

A Mathematical and Numerical Framework for Bubble Meta-screens

SIAM Journal on Applied Mathematics, v. 77, (5), October 2017, p. 1827-1850
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Effective Medium Theory for Acoustic Waves in Bubbly Fluids Near Minnaert Resonant Frequency

SIAM Journal on Mathematical Analysis, v.49, (4), August 2017, p. 3252-3276
Ammari, Habib; Zhang, Hai
Article

Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case

Archive for Rational Mechanics and Analysis, v. 224, (2), May 2017, p. 597-658
Ammari, Habib; Millien, Pierre; Ruiz, Matias; Zhang, Hai
Article

Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

SIAM Journal on Applied Mathematics, v. 77, (3), 2017, p. 951-976
Lin, Junshan; Zhang, Hai
Article

Stability for the Lens Rigidity Problem

Archive For Rational Mechanics and Analysis, 225, 3, September 2017, p. 1127-1160
Bao, Gang; Zhang, Hai
Article

Sub-wavelength Focusing of Acoustic Waves in Bubbly Media

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, v.473, (2208), December 2017, article number 20170469
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Subwavelength Phononic Bandgap Opening in Bubbly Media

Journal of Differential Equations, v. 263, (9), November 2017, p. 5610-5629
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
Article

2016 2

Mathematical Analysis of Plasmonic Resonances for Nanoparticles: The Full Maxwell Equations

Journal of Differential Equations, v. 261, (6), September 2016, p. 3615-3669
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Mathematical and Numerical Framework for Metasurfaces Using Thin Layers of Periodically Distributed Plasmonic Nanoparticles

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 472, (2193), September 2016, article number 20160445
Ammari, Habib; Ruiz, Matias; Wu, Wei; Yu, Sanghyeon; Zhang, Hai
Article

2015 3

A Mathematical Theory of Super-Resolution by Using a System of Sub-Wavelength Helmholtz Resonators

Communications in Mathematical Physics, v. 337, (1), July 2015, p. 379-428
Habib, Ammari; Zhang, Hai
Article

Stability analysis for Magnetic Resonance Elastography

Journal of Mathematical Analysis and Applications, v. 430, (2), October 2015, p. 919-931
Habib, Ammari; Alden, Waters; Zhang, Hai
Article

Super-resolution in High-contrast Media

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 471, (2178), June 2015, article number 20140946
Habib, Ammari; Zhang, Hai
Article

2014 3

Sensitive Analysis of an Inverse Problem for the Wave Equation with Caustics

Journal of the American Mathematical Society, v. 27, (4), October 2014, p. 953-981
Gang, Bao; Zhang, Hai
Article

Unique Determination of Periodic Polyhedral Structures by Scattered Electromagnetic Fields II: the Resonance Case

ransactions of the American Mathematical Society, v. 336, (3), MAR 2014, p. 1333-1361
Gang, Bao; Jun, Zou; Zhang, Hai
Article

Imaging, Multi-Scale and High Contrast PDE

Zhang, Hai
Conference paper

2013 2

A Convergent Multiscale Gaussian Beam Parametrix for Wave Equations

Communications in Partial Differential Equations, v. 38, (1), January 2013, p. 92-134
Gang, Bao; Qian, Jianliang; Ying, Lexing; Zhang, Hai
Article

Stability/sensitivity of Recovering Velocity Fields from Boundary Measurements

Zhang, Hai
Conference paper

2011 1

Unique determination of periodic polyhedral structures by scattered electromagnetic fields

Transactions of the American Mathematical Society, v. 363, (9), 2011, p. 4527-4551
Gang, Bao; Zhang, Hai; Jun, Zou
Article

2009 1

Recovery of polyhedral obstacles by a single far-field measurement

Journal of Mathematical Physics, v, 50, (12), 2009, p. 123506
Liu, Hongyu; Jun, Zou; Zhang, Hai
Article

Article 1

A rigorous theory on electromagnetic diffraction by a planar aperture in a perfectly conducting screen

Journal of Mathematical Physics, v. 65, (7), July 2024, article number 072902, p. 1-12
Liang, Ying; Zhang, Hai

Article 4

Bulk-interface correspondences for one-dimensional topological materials with inversion symmetry

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 479, (2270), February 2023, article number 20220675
Thiang, Guo Chuan; Zhang, Hai

Dirac Points for the Honeycomb Lattice with Impenetrable Obstacles

SIAM Journal on Applied Mathematics, v. 83, (4), August 2023, p. 1546-1571
Li, Wei; Lin, Junshan; Zhang, Hai

IFF: A Superresolution Algorithm for Multiple Measurements

SIAM Journal on Imaging Sciences, v. 16, (4), December 2023, p. 2175-2201
Fei, Zetao; Zhang, Hai

Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap

Multiscale Modeling and Simulation, v. 21, (3), September 2023, p. 1012-1052
Junshan, Lin; Wangtao, Lu; Zhang, Hai

Article 2

A mathematical theory of the computational resolution limit in one dimension

Applied and Computational Harmonic Analysis, v. 56, January 2022, p. 402-446
Liu, Ping; Zhang, Hai

Mathematical theory for topological photonic materials in one dimension

Journal of Physics A: Mathematical and Theoretical, v. 55, (49), December 2022, article number 495203
Lin, Junshan; Zhang, Hai

Article 3

A mathematical theory of computational resolution limit in multi-dimensional spaces

Inverse Problems, v. 37, (10), October 2021, article number 104001
Liu, Ping; Zhang, Hai

A Theory of Computational Resolution Limit for Line Spectral Estimation

IEEE Transactions on Information Theory, v. 67, (7), July 2021, p. 4812-4827
Liu, Ping; Zhang, Hai

Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), v. 86, (1), February 2021, p. 146-164
Lin, Junshan; Oh, Sang-Hyun; Zhang, Hai

Article 4

A Mathematical theory for fano resonance in a periodic array of narrow slits

SIAM Journal on Applied Mathematics, v. 80, (5), September 2020, p. 2045-2070
Lin, Junshan; Shipman, Stephen P.; Zhang, Hai

Fano resonance in metallic grating via strongly coupled subwavelength resonators

European Journal of Applied Mathematics, v. 32, (2), 30 June 2020, p. 370-394
Lin, Junshan; Zhang, Hai

Photonic Band Gap Phenomenon in a Metal–Dielectric Periodic Structure

Research in Mathematical Sciences, v. 7, (3), September 2020, article number 15
Santosa, Fadil; Zhang, Hai

Superresolution Imaging via Subwavelength Hole Resonances

Physical Review Applied, v. 14, (3), 3 September 2020, article number 034066
Lin, Junshan; Zhang, Hai

Article 7

An Integral Equation Method for Numerical Computation of Scattering Resonances in a Narrow Metallic Slit

Journal of Computational Physics, v. 385, May 2019, p. 75-105
Lin, Junshan; Zhang, Hai

Bloch Waves in Bubbly Crystal Near the First Band Gap: A High-frequency Homogenization Approach

SIAM Journal on Mathematical Analysis, v. 51, (1), January 2019, p. 45-59
Ammari, Habib; Lee, Hyundae; Zhang, Hai

Characterization of the Essential Spectrum of the Neumann-poincaré Operator in 2D Domains With Corner via Weyl Sequences

Revista Matematica Iberoamericana, v. 35, (3), 2019, p. 925-948
Bonnetier, Eric; Zhang, Hai

Double-negative acoustic metamaterials

Quarterly of Applied Mathematics, v. 77, (4), December 2019, p. 767-791
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai

Mathematical Analysis of Surface Plasmon Resonance by a Nano-Gap in the Plasmonic Metal

SIAM Journal on Mathematical Analysis, v. 51, (6), 2019, p. 4448-4489
Lin, Junshan; Zhang, Hai

Shape reconstruction of nanoparticles from their associated plasmonic resonances

Journal des Mathematiques Pures et Appliquees, v.122, February 2019, p. 23-48
Ammari, Habib; Putinar, Mihai; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

The plasmonic resonances of a bowtie antenna

Analysis in Theory and Applications, v. 35, (1), April 2019, p. 85-116
Bonnetier, Eric; Triki, Faouzi; Dapogny, Charles; Zhang, Hai

Article 6

Field Expansions for Systems of Strongly Coupled Plasmonic Nanoparticles

SIAM Journal on Numerical Analysis, v. 56, (4), July 2018, p. 2029-2044
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

Minnaert Resonances for Acoustic Waves in Bubbly Media

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 35, (7), November 2018, p. 1975-1998
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data

SIAM Journal on Imaging Sciences, v. 11, (1), January 2018, p. 1-23
Amman, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime

SIAM Journal on Imaging Sciences, v. 11, (3), 2018, p. 1931-1953
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime

Multiscale Modeling & Simulation, v. 16, (2), May 2018, p. 922-953
Zhang, Hai; Lin, Junshan

Scattering by a Periodic Array of Subwavelength Slits II: Surface Bound States, Total Transmission, and Field Enhancement in Homogenization Regimes

Multiscale Modeling & Simulation, v. 16, (2), 2018, p. 954-990
Lin, Junshan; Zhang, Hai

Book 1

Mathematical and Computational Methods in Photonics and Phononics

Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

Article 7

A Mathematical and Numerical Framework for Bubble Meta-screens

SIAM Journal on Applied Mathematics, v. 77, (5), October 2017, p. 1827-1850
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai

Effective Medium Theory for Acoustic Waves in Bubbly Fluids Near Minnaert Resonant Frequency

SIAM Journal on Mathematical Analysis, v.49, (4), August 2017, p. 3252-3276
Ammari, Habib; Zhang, Hai

Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case

Archive for Rational Mechanics and Analysis, v. 224, (2), May 2017, p. 597-658
Ammari, Habib; Millien, Pierre; Ruiz, Matias; Zhang, Hai

Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

SIAM Journal on Applied Mathematics, v. 77, (3), 2017, p. 951-976
Lin, Junshan; Zhang, Hai

Stability for the Lens Rigidity Problem

Archive For Rational Mechanics and Analysis, 225, 3, September 2017, p. 1127-1160
Bao, Gang; Zhang, Hai

Sub-wavelength Focusing of Acoustic Waves in Bubbly Media

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, v.473, (2208), December 2017, article number 20170469
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai

Subwavelength Phononic Bandgap Opening in Bubbly Media

Journal of Differential Equations, v. 263, (9), November 2017, p. 5610-5629
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai

Article 2

Mathematical Analysis of Plasmonic Resonances for Nanoparticles: The Full Maxwell Equations

Journal of Differential Equations, v. 261, (6), September 2016, p. 3615-3669
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai

Mathematical and Numerical Framework for Metasurfaces Using Thin Layers of Periodically Distributed Plasmonic Nanoparticles

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 472, (2193), September 2016, article number 20160445
Ammari, Habib; Ruiz, Matias; Wu, Wei; Yu, Sanghyeon; Zhang, Hai

Article 3

A Mathematical Theory of Super-Resolution by Using a System of Sub-Wavelength Helmholtz Resonators

Communications in Mathematical Physics, v. 337, (1), July 2015, p. 379-428
Habib, Ammari; Zhang, Hai

Stability analysis for Magnetic Resonance Elastography

Journal of Mathematical Analysis and Applications, v. 430, (2), October 2015, p. 919-931
Habib, Ammari; Alden, Waters; Zhang, Hai

Super-resolution in High-contrast Media

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 471, (2178), June 2015, article number 20140946
Habib, Ammari; Zhang, Hai

Article 2

Sensitive Analysis of an Inverse Problem for the Wave Equation with Caustics

Journal of the American Mathematical Society, v. 27, (4), October 2014, p. 953-981
Gang, Bao; Zhang, Hai

Unique Determination of Periodic Polyhedral Structures by Scattered Electromagnetic Fields II: the Resonance Case

ransactions of the American Mathematical Society, v. 336, (3), MAR 2014, p. 1333-1361
Gang, Bao; Jun, Zou; Zhang, Hai

Conference paper 1

Imaging, Multi-Scale and High Contrast PDE

Zhang, Hai

Article 1

A Convergent Multiscale Gaussian Beam Parametrix for Wave Equations

Communications in Partial Differential Equations, v. 38, (1), January 2013, p. 92-134
Gang, Bao; Qian, Jianliang; Ying, Lexing; Zhang, Hai

Conference paper 1

Stability/sensitivity of Recovering Velocity Fields from Boundary Measurements

Zhang, Hai

Article 1

Unique determination of periodic polyhedral structures by scattered electromagnetic fields

Transactions of the American Mathematical Society, v. 363, (9), 2011, p. 4527-4551
Gang, Bao; Zhang, Hai; Jun, Zou

Article 1

Recovery of polyhedral obstacles by a single far-field measurement

Journal of Mathematical Physics, v, 50, (12), 2009, p. 123506
Liu, Hongyu; Jun, Zou; Zhang, Hai

2018 7

Field Expansions for Systems of Strongly Coupled Plasmonic Nanoparticles

SIAM Journal on Numerical Analysis, v. 56, (4), July 2018, p. 2029-2044
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Minnaert Resonances for Acoustic Waves in Bubbly Media

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, v. 35, (7), November 2018, p. 1975-1998
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data

SIAM Journal on Imaging Sciences, v. 11, (1), January 2018, p. 1-23
Amman, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Reconstructing Fine Details of Small Objects by Using Plasmonic Spectroscopic Data. Part II: The Strong Interaction Regime

SIAM Journal on Imaging Sciences, v. 11, (3), 2018, p. 1931-1953
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Scattering by a Periodic Array of Subwavelength Slits I: Field Enhancement in the Diffraction Regime

Multiscale Modeling & Simulation, v. 16, (2), May 2018, p. 922-953
Zhang, Hai; Lin, Junshan
Article

Scattering by a Periodic Array of Subwavelength Slits II: Surface Bound States, Total Transmission, and Field Enhancement in Homogenization Regimes

Multiscale Modeling & Simulation, v. 16, (2), 2018, p. 954-990
Lin, Junshan; Zhang, Hai
Article

Mathematical and Computational Methods in Photonics and Phononics

Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Book

2017 7

A Mathematical and Numerical Framework for Bubble Meta-screens

SIAM Journal on Applied Mathematics, v. 77, (5), October 2017, p. 1827-1850
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Effective Medium Theory for Acoustic Waves in Bubbly Fluids Near Minnaert Resonant Frequency

SIAM Journal on Mathematical Analysis, v.49, (4), August 2017, p. 3252-3276
Ammari, Habib; Zhang, Hai
Article

Mathematical Analysis of Plasmonic Nanoparticles: The Scalar Case

Archive for Rational Mechanics and Analysis, v. 224, (2), May 2017, p. 597-658
Ammari, Habib; Millien, Pierre; Ruiz, Matias; Zhang, Hai
Article

Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

SIAM Journal on Applied Mathematics, v. 77, (3), 2017, p. 951-976
Lin, Junshan; Zhang, Hai
Article

Stability for the Lens Rigidity Problem

Archive For Rational Mechanics and Analysis, 225, 3, September 2017, p. 1127-1160
Bao, Gang; Zhang, Hai
Article

Sub-wavelength Focusing of Acoustic Waves in Bubbly Media

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, v.473, (2208), December 2017, article number 20170469
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
Article

Subwavelength Phononic Bandgap Opening in Bubbly Media

Journal of Differential Equations, v. 263, (9), November 2017, p. 5610-5629
Ammari, Habib; Fitzpatrick, Brian; Lee, Hyundae; Yu, Sanghyeon; Zhang, Hai
Article

2016 2

Mathematical Analysis of Plasmonic Resonances for Nanoparticles: The Full Maxwell Equations

Journal of Differential Equations, v. 261, (6), September 2016, p. 3615-3669
Ammari, Habib; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai
Article

Mathematical and Numerical Framework for Metasurfaces Using Thin Layers of Periodically Distributed Plasmonic Nanoparticles

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 472, (2193), September 2016, article number 20160445
Ammari, Habib; Ruiz, Matias; Wu, Wei; Yu, Sanghyeon; Zhang, Hai
Article

2015 3

A Mathematical Theory of Super-Resolution by Using a System of Sub-Wavelength Helmholtz Resonators

Communications in Mathematical Physics, v. 337, (1), July 2015, p. 379-428
Habib, Ammari; Zhang, Hai
Article

Stability analysis for Magnetic Resonance Elastography

Journal of Mathematical Analysis and Applications, v. 430, (2), October 2015, p. 919-931
Habib, Ammari; Alden, Waters; Zhang, Hai
Article

Super-resolution in High-contrast Media

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, v. 471, (2178), June 2015, article number 20140946
Habib, Ammari; Zhang, Hai
Article

2014 3

Sensitive Analysis of an Inverse Problem for the Wave Equation with Caustics

Journal of the American Mathematical Society, v. 27, (4), October 2014, p. 953-981
Gang, Bao; Zhang, Hai
Article

Unique Determination of Periodic Polyhedral Structures by Scattered Electromagnetic Fields II: the Resonance Case

ransactions of the American Mathematical Society, v. 336, (3), MAR 2014, p. 1333-1361
Gang, Bao; Jun, Zou; Zhang, Hai
Article

Imaging, Multi-Scale and High Contrast PDE

Zhang, Hai
Conference paper

2013 2

A Convergent Multiscale Gaussian Beam Parametrix for Wave Equations

Communications in Partial Differential Equations, v. 38, (1), January 2013, p. 92-134
Gang, Bao; Qian, Jianliang; Ying, Lexing; Zhang, Hai
Article

Stability/sensitivity of Recovering Velocity Fields from Boundary Measurements

Zhang, Hai
Conference paper

2011 1

Unique determination of periodic polyhedral structures by scattered electromagnetic fields

Transactions of the American Mathematical Society, v. 363, (9), 2011, p. 4527-4551
Gang, Bao; Zhang, Hai; Jun, Zou
Article

2009 1

Recovery of polyhedral obstacles by a single far-field measurement

Journal of Mathematical Physics, v, 50, (12), 2009, p. 123506
Liu, Hongyu; Jun, Zou; Zhang, Hai
Article

Teaching Assignment

2024-25 Fall 1 2023-24 Summer 0 2023-24 Spring 1 2023-24 Winter 0 2023-24 Fall 2 2022-23 Summer 1

MATH5285

Applied Analysis

MATH2011

Introduction to Multivariable Calculus

MATH5285	Applied Analysis
MATH6911D	Reading Course: Scattering Theory in Period Media

MATH6911D

Reading Course: Scattering Theory in Period Media

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

All Supervisions Current RPGs Graduated RPGs

Current RPGs

Doctor of Philosophy

ZHANG, Ruilin
Mathematics
LIU, Xinyu
Mathematics
QIU, Jiayu
Mathematics

Master of Philosophy

ZHANG, Jinyang
Mathematics

Graduated RPGs

Doctor of Philosophy

FEI, Zetao
Mathematics( Completed in 2024 )
LIU, Ping
Mathematics( Completed in 2021 )

Master of Philosophy

QIU, Jiayu
Mathematics( Completed in 2022 )
FEI, Zetao
Mathematics( Completed in 2021 )

Projects

From January 2022 to December 2024

All Projects 7 Leading Projects 6 Participating Projects 1

Mathematical theory of resolution limit and a new super-resolution technique

分辨率極限的數學理論與一種新的超分辨率成像技術 Leading

National Natural Science Foundation of China
Project Team (HKUST)
ZHANG Hai (Lead)
2024 -
Spectral problems for 2D photonic/phononic materials with honeycomb structure

二維蜂窩結構的光晶子/聲晶子材料中的算子譜問題 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHANG Hai (Lead)
2024 -
Three-dimensional Electrical Impedance Imaging for Tendinopathy Diagnosis

診斷肌腱病的三維電阻抗成像 Leading

Gense Technologies Limited, Innovation and Technology Fund
Project Team (HKUST)
ZHANG Hai (Lead)

CAI Jianfeng

YANG Can
2023 -
Development and application of a rigorous boundary-integral-equation method for electromagnetic scattering by subwavelength holes

次波長孔結構的電磁散射問題的嚴格邊界積分方程方法的開發與應用 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHANG Hai (Lead)
2021 -
Development of Statistical and Machine Learning Methods for Large Scale Genomic Data Analysis

人類基因組數據的統計與機器學習方法研發 Participating

Innovation and Technology Fund
Project Team (HKUST)
YANG Can (Lead)

CAI Jianfeng

WANG Yang

XIA Dong

YAO Yuan

ZHANG Hai
2020 - 2023
Mathematical investigation of a super-resolution technique using subwavelength resonant structures

一種使用次波長共振結構實現超分辨率成像的技術的數學理論探討 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHANG Hai (Lead)
2020 - 2022
Mathematical analysis of anomalous light scattering by subwavelength slit structures in metallic slabs

金屬膜中次波長狹縫的異常光散射現象的數學理論分析 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHANG Hai (Lead)
2018 - 2022

Research Interest

Publications

2024 1

2023 4

2022 2

2021 3

2020 4

2019 7

2018 7

2017 7

2016 2

2015 3

2014 3

2013 2

2011 1

2009 1

Article 1

Article 4

Article 2

Article 3

Article 4

Article 7

Article 6

Book 1

Article 7

Article 2

Article 3

Article 2

Conference paper 1

Article 1

Conference paper 1

Article 1

Article 1

2018 7

2017 7

2016 2

2015 3

2014 3

2013 2

2011 1

2009 1

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

Current RPGs

Graduated RPGs

Projects

From January 2022 to December 2024

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