1. Interface modes in honeycomb topological photonic structures with broken reflection symmetry (with W. Li, J. Qiu, and H. Zhang), submitted. [pdf]
  2. Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point (with J. Qiu, P. Xie, and H. Zhang), submitted. [pdf]
  3. A rigorous mathematical theory for topological phases and edge modes in spring-mass mechanical systems (with R. Ozdermir), Proc. R. Soc. A. - MATH PHY, 480 (2024), 2023910. [pdf][Link].
  4. Inverse design of grating metasurface for enhancing spontaneous emission through hyperbolic metamaterials (with H. Mao, G. Bao, and J. Lai), J. Opt. Soc. Amer. B, 41 (2024), A79-A85. [pdf]
  5. Dirac points for the honeycomb lattice with impenetrable obstacles (with W. Li and H. Zhang), SIAM J. Appl. Math., 83 (2023), 1546-1571. [pdf]
  6. 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), 1012-1052. [pdf]
  7. 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), 628-646. [pdf]
  8. A stochastic gradient approach for the optimal design of random surfaces in solar cells (with Q. Li, G. Bao, Y. Cao), Commun. Comput. Phys., 34 (2023), 1361-1390. [pdf]
  9. Mathematical theory for topological photonic materials in one dimension (with H. Zhang), J. Phys. A. - Math. Theor. , 55 (2022), 495203. [pdf]
  10. 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), 1524-1583. [pdf]
  11. An adaptive boundary element method for the transmission problem with hyperbolic metamaterials, J. Comput. Phys., 444 (2021), 110573. [pdf]
  12. Scattering resonances for a three-dimensional subwavelength hole (with M. Fatima), Partial Differ. Equ. Appl. , 2 (2021), 56. [pdf]
  13. Sensitivity of resonance frequency in the detection of thin layer using nano-slit structures (with S-H. Oh and H. Zhang), IMA J. Appl. Math., 86 (2021), 146–164. [pdf]
  14. Fano resonance in metallic grating via strongly coupled subwavelength resonators (with H. Zhang), European J. Appl. Math., 32 (2021), 370–394. [pdf]
  15. A super-resolution imaging approach via subwavelength hole resonances (with H. Zhang), Phys. Rev. Appl., 14 (2020), 034066. [pdf]
  16. 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]
  17. Mathematical analysis of surface plasmon resonance by a nano-gap in the plasmonic metal (with H. Zhang), SIAM J. Math. Anal., 51 (2019), 4448–4489. [pdf]
  18. 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]
  19. An efficient Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell's Equations with random coefficients (with X. Feng and C. Lorton), J. Sci. Comput., 80 (2019), 1498-1528. [pdf]
  20. Computational optimal design of random rough surfaces in thin-film solar cells, (with G. Bao, Y. Cao, H. Van Wyk), Commun. Comput. Phys., 25 (2019), 1591-1612 [pdf]
  21. 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), 922-953. [pdf]
  22. 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), 954-990. [pdf]
  23. Fast vertical mode expansion method for the simulation of extraordinary terahertz field enhancement in an annular nanogap (with Z. Hu, Y. Lu, and S-H. Oh), J. Opt. Soc. Amer. B, 35 (2018), 30-38 [pdf]
  24. An efficient Monte Carlo-transformed field expansion method for electromagnetic wave scattering by random rough surfaces (with X. Feng and D. Nicholls), Commun. Comput. Phys., 23 (2018), 685-705. [pdf]
  25. Scattering and field enhancement of a perfect conducting narrow slit (with H. Zhang), SIAM J. Appl. Math., 77 (2017), 951-976. [pdf]
  26. A multi-modes 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), 429-443. [pdf]
  27. An efficient and high-order frequency-domain approach for transient acoustic-structure interactions in three dimensions, Int. J. Numer. Meth. Engng., 108 (2016), 790-816. [pdf]
  28. A perturbation approach for near bound-state resonances of photonic crystal with defect, European J. Appl. Math., 27 (2016), 66-86. [pdf]
  29. Electromagnetic field enhancement in small gaps: a rigorous mathematical theory (with F. Reitich), SIAM J. Appl. Math., 75 (2015), 2290-2310. [pdf]
  30. An efficient numerical method for acoustic wave scattering in random media (with X. Feng and C. Lorton), SIAM/ASA J. Uncertainty Quantification, 3 (2015), 790-822. [pdf]
  31. Inverse scattering problems with multi-frequencies (with G. Bao, P. Li, and F. Triki), Inverse Problems, 31 (2015), 093001. [pdf]
  32. Scattering resonances for a two-dimensional potential well with thick barrier (with F. Santosa), SIAM J. Math. Anal., 47 (2015), 1458-1488. [pdf]
  33. Field enhancement and saturation of terahertz waves inside a metallic nanogap (with S-H. Oh, H-M. Nguyen, and F. Reitich), Optics Express, 22 (2014), 14402-14410. [pdf]
  34. Numerical reconstruction of electromagnetic inclusions in three dimensions (with G. Bao and S. Mefire), SIAM J. Imaging Sciences, 7 (2014), 558-577. [pdf]
  35. A fast and high order method for the three-dimensional elastic wave scattering problem (with F. Bu and F. Reitich ), J. Comput. Phys., 258 (2014), 856-870. [pdf]
  36. Resonances of a finite one-dimensional photonic crystal with a defect (with F. Santosa), SIAM J. Appl. Math., 73 (2013), 1002-1019. [pdf]
  37. Near-field imaging of the surface displacement on an infinite ground plane (with G. Bao), Inverse Probl. Imag., 2 (2013), 377-396. [pdf]
  38. Imaging of reflective surfaces by near-field optics (with G. Bao), Opt. Lett., 37 (2012), 5027-5029. [pdf]
  39. 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), 2004-2010. [pdf]
  40. Imaging of local surface displacement on an infinite ground plane: the multiple frequency case (with G. Bao), SIAM J. Appl. Math., 71 (2011), 1733-1752. [pdf]
  41. An inverse source problem with multiple frequency data (with G. Bao and F. Triki), Comptes Rendus Mathematique, 349 (2011), 855-859. [pdf]
  42. 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), 45-60. [pdf]
  43. A multi-frequency inverse source problem (with G. Bao and F. Triki), J. Differ. Equations, 249 (2010), 3443-3465. [pdf]
  44. 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), 29-44. [pdf]
  45. A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography, J. Inverse Ill-posed Problems, 16 (2008), 381-396. [pdf]
  46. Stable determination of a boundary coefficient in an elliptic equation (with J. Cheng and M. Choulli), Math. Mod. Meth. Appl. Sci. (M3AS), 18 (2008), 107-123. [pdf]