Representative Publications
with A. Ghandriche and M. Sini, The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices, J. London Math. Soc. 2023 (2): 1-86.
with M. Sini, The Effective Permittivity and Permeability Generated by a Cluster of Moderately Contrasting Nanoparticles, J. Differential Equations, Vol. 367, September 2023: 549 602.
with H. Diao and H. Liu, On the Geometric Structures of Conductive Transmission Eigenfunctions and Its Application, Communications in Partial Differential Equations, Vol. 46, 2021(4), 630-679.
with H, Diao, H. Liu and J. Zou, On Novel Geometric Structures of Laplacian Eigenfunctions in R^3 and Applications to Inverse Problems, SIAM J. Math. Anal., 2021, 53(2): 1263-1294.
with H. Diao, H. Liu and J. Zou, On Nodal and Generalized Singular Structures of Laplacian Eigenfunctions and Applications to Inverse Scattering Problems, J. Math. Pure. Appl., Vol. 143, November 2020: 116-161.
Other Publications
with H. Diao, H. Liu and J. Zou, Two Unique Identifiability Results for Inverse Scattering Problems within Polyhedral Geometries, Inverse Problems and Imaging, 2022, 16(6): 1501-1528.
with H, Diao and J. Li, Some Recent Progress on Inverse Scattering Problems within General Polyhedral Geometry, Electronic Research Archive, 2021, 29(1): 1753-1782.
with H, Diao and H. Liu, Determining a Piecewise Conductive Medium Body by a Single Far-field Measurement, CSIAM Trans. Appl. Math., 2020, Vol. 1, No. 4: 740-765.
with H. Liu, Determining a Fractional Helmholtz Equation with Unknown Source and Scattering Potential, Comm Math Sci., 2019, 17(7): 1861-1876.
with Y.-H. Lin and H. Liu, Simultaneously Recovering Potentials and Embedded Obstacles for Anisotropic Fractional Schrodinger Operators, Inverse Problems and Imaging, 2019, 13(1): 197-210.
Preprints
with A. Ghandriche and M. Sini, Electromagnetic waves generated by a hybrid dielectric-plasmonic dimer, arXiv:2412.12747.
with A. Mukherjee, M. Sini, Effective Medium Theory for Heat Generation Using Plasmonics: A Parabolic Transmission Problem Driven by the Maxwell System, arXiv:2411.18091.
with A. Ghandriche and M. Sini, Optical Inversion Using Plasmonic Contrast Agents, arXiv:2408.13793.
with A. Ghandriche and M. Sini, Effective medium theory for Van-Der-Waals heterostructures, arXiv:2404.11859.
with A. Ghandriche and M. Sini, From all-dieletric nanoresonators to extended quasi-static plasmonic resonators, arXiv:2312.15149.