Hai ZHANG
张海
PhD in Mathematics
Michigan State University, 2013

Associate Professor
Department of Mathematics



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

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ORCID
0000-0002-5494-001X

Scopus ID
56518787800




Research Interest Publications Projects Teaching Assignment RPG Supervision Space used




Research Interest

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Applied mathematics
Inverse problems and imaging
Wave physics



Publications

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All Years 41 2022 1 2021 3 2020 4 2019 7 2018 7 2017 7 2016 12

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Expand All Collapse All


2022 1

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

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, 30 June 2020
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
Mathematical and Computational Methods in Photonics and Phononics / by Habib Ammari, Brian Fitzpatrick, HyeonbaeKang, Matias Ruiz, Sanghyeon Yu and Hai Zhang. Providence: American Mathematical Society, 2018. Mathematical Surveys and Monographs. v. 235.
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
International Congress of Mathematicians (ICM 2014) , Seoul, Korea, 13-21 August 2014
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
The Second International Conference on Interdisciplinary Applied and Computational Mathematics, Zhejiang University, Hangzhou, China, 19-22 June 2013
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


Expand All Collapse All


Article 1

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


Expand All Collapse All


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


Expand All Collapse All


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, 30 June 2020
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


Expand All Collapse All


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


Expand All Collapse All


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
Mathematical and Computational Methods in Photonics and Phononics / by Habib Ammari, Brian Fitzpatrick, HyeonbaeKang, Matias Ruiz, Sanghyeon Yu and Hai Zhang. Providence: American Mathematical Society, 2018. Mathematical Surveys and Monographs. v. 235.
Ammari, Habib; Fitzpatrick, Brian; Kang, Hyeonbae; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


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
International Congress of Mathematicians (ICM 2014) , Seoul, Korea, 13-21 August 2014
Zhang, Hai


Expand All Collapse All


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
The Second International Conference on Interdisciplinary Applied and Computational Mathematics, Zhejiang University, Hangzhou, China, 19-22 June 2013
Zhang, Hai


Expand All Collapse All


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


Expand All Collapse All


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


Expand All Collapse All


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
International Congress of Mathematicians (ICM 2014) , Seoul, Korea, 13-21 August 2014
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
The Second International Conference on Interdisciplinary Applied and Computational Mathematics, Zhejiang University, Hangzhou, China, 19-22 June 2013
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

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2021-22 Winter 0 2021-22 Fall 2 2020-21 Summer 0 2020-21 Spring 2 2020-21 Winter 0 2020-21 Fall 3

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MATH3033 Real Analysis
MATH5285 Applied Analysis


MATH2033 Mathematical Analysis
MATH4999 Independent Capstone Project


MATH3033 Real Analysis
MATH4999 Independent Capstone Project
MATH5285 Applied Analysis


No Teaching Assignments


No Teaching Assignments


No Teaching Assignments






Research Postgraduate (RPG) Supervision From January 2019 to December 2022 (As of 30 January 2022)

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All Supervisions Current RPGs Graduated RPGs

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Current RPGs

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Doctor of Philosophy QIU, Jiayu
Mathematics( 2021 - )

FEI, Zetao
Mathematics( 2019 - )

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Graduated RPGs

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Doctor of Philosophy LIU, Ping
Mathematics( Completed in 2021 )

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Master of Philosophy FEI, Zetao
Mathematics( Completed in 2021 )









ProjectsFrom January 2020 to December 2022

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All Projects 6 Leading Projects 5 Participating Projects 1

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


次波长孔结构的电磁散射问题的严格边界积分方程方法的开发与应用 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


人类基因组数据的统计与机器学习方法研发 Participating


Innovation and Technology Fund


Project Team (HKUST)
YANG Can (Lead)
BAO Zhigang
CAI Jianfeng
WANG Yang
XIA Dong
YAO Yuan
ZHANG Hai


2020 -




Mathematical investigation of a super-resolution technique using subwavelength resonant structures


一种使用次波长共振结构实现超分辨率成像的技术的数学理论探讨 Leading


RGC - General Research Fund


Project Team (HKUST)
ZHANG Hai (Lead)


2020 -




Mathematical analysis of anomalous light scattering by subwavelength slit structures in metallic slabs


金属膜中次波长狭缝的异常光散射现象的数学理论分析 Leading


RGC - General Research Fund


Project Team (HKUST)
ZHANG Hai (Lead)


2018 -




Non-periodic homogenization theory for subwavelength resonators near resonance frequencies


次波长共振器在共振频率附近的非周期同质化理论 Leading


RGC - General Research Fund


Project Team (HKUST)
ZHANG Hai (Lead)


2017 - 2020




Mathematical analysis of optical properties of plasmonic nanoparticles and their applications


等离子纳米球的光学性质的数学理论分析及其应用 Leading


RGC - Early Career Scheme


Project Team (HKUST)
ZHANG Hai (Lead)


2016 - 2020