

A rigorous mathematical theory for topological phases and edge modes in springmass mechanical systems
(with R. Ozdermir),
submitted.
[pdf]

Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point
(with J. Qiu, P. Xie, and H. Zhang),
submitted.
[pdf]

Inverse design of grating metasurface for enhancing spontaneous emission through hyperbolic metamaterials
(with H. Mao, G. Bao, and J. Lai),
submitted.
[pdf]

Dirac points for the honeycomb lattice with impenetrable obstacles
(with W. Li and H. Zhang),
SIAM J. Appl. Math., 83 (2023), 15461571.
[pdf]

Mathematical theory for electromagnetic scattering resonances and field enhancement in an annular subwavelength gap
(with W. Lu and H. Zhang),
SIAM J. Multiscale Model. Sim., 21 (2023), 10121052.
[pdf]

Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions
(with W. Xiao, G. Bo, and J. Sun),
Commun. Comput. Phys., 33 (2023), 628646.
[pdf]

A stochastic gradient approach for the optimal design of random surfaces in solar cells
(with Q. Li, G. Bao,
Y. Cao),
Commun. Comput. Phys., to appear.
[pdf]

Mathematical theory for topological photonic materials in one dimension (with H. Zhang), J. Phys. A.  Math. Theor. , 55 (2022), 495203.
[pdf]

Monte Carlo–transformed field expansion method for simulating electromagnetic wave scattering by multilayered random media
(with K. Ulmer and D. Nicholls), J. Opt. Soc. Amer. A , 39 (2022), 15241583.
[pdf]

An adaptive boundary element method for the transmission problem with hyperbolic metamaterials, J. Comput. Phys., 444 (2021), 110573.
[pdf]

Scattering resonances for a threedimensional subwavelength hole
(with M. Fatima), Partial Differ. Equ. Appl. , 2 (2021), 56.
[pdf]

Sensitivity of resonance frequency in the detection of thin layer using nanoslit structures
(with SH. Oh and H. Zhang),
IMA J. Appl. Math., 86 (2021), 146–164.
[pdf]

Fano resonance in metallic grating via strongly coupled subwavelength resonators
(with H. Zhang), European J. Appl. Math., 32 (2021), 370–394.
[pdf]

A superresolution imaging approach via subwavelength hole resonances
(with H. Zhang), Phys. Rev. Appl., 14 (2020), 034066.
[pdf]

A mathematical theory for Fano resonance in a periodic array of narrow slits
(with S. Shipman and H. Zhang),
SIAM J. Appl. Math., 80 (2020), 2045–2070.
[pdf]

Mathematical analysis of surface plasmon resonance by a nanogap in the plasmonic metal
(with H. Zhang), SIAM J. Math. Anal., 51 (2019), 4448–4489.
[pdf]

An integral equation method for numerical computation of plasmonic resonances in a narrow metallic slit
(with H. Zhang), J. Comput. Phys., 385 (2019), 75–105.
[pdf]

An efficient Monte Carlo interior penalty discontinuous Galerkin method for the timeharmonic Maxwell's Equations with random coefficients
(with X. Feng and C. Lorton), J. Sci. Comput., 80 (2019), 14981528.
[pdf]

Computational optimal design of random rough surfaces in thinfilm solar cells,
(with G. Bao,
Y. Cao,
H. Van Wyk),
Commun. Comput. Phys., 25 (2019), 15911612 [pdf]

Scattering by a periodic array of subwavelength slits I: field enhancement in the diffraction regime
(with H. Zhang), SIAM J. Multiscale Model. Sim., 16 (2018), 922953.
[pdf]

Scattering by a periodic array of subwavelength slits II: surface bound states, total transmission and field
enhancement in homogenization regimes
(with H. Zhang), SIAM J. Multiscale Model. Sim., 16 (2018), 954990.
[pdf]

Fast vertical mode expansion method for the simulation of extraordinary terahertz field
enhancement in an annular nanogap (with Z. Hu, Y. Lu,
and SH. Oh), J. Opt. Soc. Amer. B, 35 (2018), 3038
[pdf]

An efficient Monte Carlotransformed field expansion method for electromagnetic wave scattering by random rough surfaces
(with X. Feng and D. Nicholls),
Commun. Comput. Phys., 23 (2018), 685705. [pdf]

Scattering and field enhancement of a perfect conducting narrow slit
(with H. Zhang), SIAM J. Appl. Math., 77 (2017), 951976.
[pdf]

A multimodes Monte Carlo finite element method for elliptic partial differential equations with random coefficients
(with X. Feng and C. Lorton), Int. J. Uncertainty Quantification, 6 (2016), 429443.
[pdf]

An efficient and highorder frequencydomain approach for transient acousticstructure interactions in three dimensions,
Int. J. Numer. Meth. Engng., 108 (2016), 790816. [pdf]

A perturbation approach for near boundstate resonances of photonic crystal with defect,
European J. Appl. Math., 27 (2016), 6686. [pdf]

Electromagnetic field enhancement in small gaps: a rigorous mathematical theory
(with F. Reitich), SIAM J. Appl. Math., 75 (2015), 22902310.
[pdf]

An efficient numerical method for acoustic wave scattering in random media
(with X. Feng and C. Lorton), SIAM/ASA J. Uncertainty Quantification, 3 (2015), 790822.
[pdf]

Inverse scattering problems with multifrequencies (with G. Bao, P. Li, and F. Triki), Inverse Problems, 31 (2015), 093001. [pdf]

Scattering resonances for a twodimensional potential well with thick barrier (with F. Santosa), SIAM J. Math. Anal., 47 (2015), 14581488. [pdf]

Field enhancement and saturation of terahertz waves inside a metallic nanogap (with
SH. Oh, HM. Nguyen,
and F. Reitich), Optics Express, 22 (2014), 1440214410.
[pdf]

Numerical reconstruction of electromagnetic inclusions in three dimensions
(with G. Bao and S. Mefire), SIAM J. Imaging Sciences,
7 (2014), 558577. [pdf]

A fast and high order method for the threedimensional elastic wave scattering problem (with F. Bu and F. Reitich ),
J. Comput. Phys., 258 (2014), 856870. [pdf]

Resonances of a finite onedimensional photonic crystal with a defect (with F. Santosa), SIAM J. Appl. Math., 73 (2013), 10021019. [pdf]

Nearfield imaging of the surface displacement on an infinite ground plane (with G. Bao), Inverse Probl. Imag., 2 (2013), 377396. [pdf]

Imaging of reflective surfaces by nearfield optics (with G. Bao), Opt. Lett., 37 (2012), 50275029. [pdf]

Mode matching for the electromagnetic scattering from three dimensional large cavities (with G. Bao, J. Gao, and W. Zhang), IEEE Trans. Antennas Propag., 60 (2012), 20042010. [pdf]

Imaging of local surface displacement on an infinite ground plane: the multiple frequency case (with G. Bao), SIAM J. Appl. Math., 71 (2011), 17331752. [pdf]

An inverse source problem with multiple frequency data (with G. Bao and F. Triki), Comptes Rendus Mathematique, 349 (2011), 855859. [pdf]

Numerical solution of the inverse source problem for the Helmholtz equation with multiple frequency data (with G. Bao and F. Triki), Contemp. Math., AMS, 548 (2011), 4560. [pdf]

A multifrequency inverse source problem (with G. Bao and F. Triki), J. Differ. Equations, 249 (2010), 34433465. [pdf]

A level set method to reconstruct the interface of discontinuity in conductivity (with W. Chen, J. Cheng, and L. Wang,), Sci. China Ser. A, 52 (2009), 2944. [pdf]

A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography, J. Inverse Illposed Problems, 16 (2008), 381396. [pdf]

Stable determination of a boundary coefficient in an elliptic equation (with J. Cheng and M. Choulli), Math. Mod. Meth. Appl. Sci. (M3AS), 18 (2008), 107123. [pdf]
