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Jinjie Liu, PhD

Jinjie Liu Ph.D.Associate Professor
Department of Mathematical Sciences
Delaware State University
1200 N Dupont Hwy
Dover DE 19901 
302.857.7054 fax
jliu [at] desu.edu


Current Graduate Students

  • Jason Cornelius
  • Andre Strong
  • Qiqi Tran
  • Penglong Xu

Former Ph.D. Students

  • Adonis Ajayi, May 2015
  • Pengrui Hui, August 2015
  • Yingxue Zhao, August 2015

Research Projects

Transformation object
Transformation Optics Based Local Mesh Refinement


subpixel smoothing
Subpixel Smoothing FDTD Method


FDTD on Non-orthogonal Grids


invisibility cloaking
Invisibility cloaking simulation


shg from metametals
SHG from metamaterials


front tracking method
The Front Tracking Method


Journal Publications

  1. J. Cornelius, J. Liu, and M. Brio, Finite-difference time-domain simulation of spacetime cloak, Optics Express, 22 (10), 12087-12095, 2014.
  2. J. Liu, M. Brio, and J. V. Moloney, Transformation optics based local mesh refinement for solving Maxwell’s equations, Journal of computational Physics, 258, 359-370, 2014.
  3. J. Liu, M. Brio, and J. V. Moloney, An Overlapping Yee FDTD method for Material Interfaces between Anisotropic Dielectrics and General Dispersive or PEC Media, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields. 27, 22-33, 2014.
  4. A. Marcano, I. Basaldua, A. Villette, R. Edziah, J. Liu, O. Ziane, and N. Melikechi, Photothermal lens spectrometry measurements in highly turbid samples, Applied Spectroscopy, 67, 1013-1018, 2013.
  5. J. Liu, M. Brio, and J. V. Moloney, Subpixel smoothing Finite-Difference Time-Domain method for material interface between dielectric and dispersive media. Optics Letters, 37, 4802-4804, 2012.
  6. J. Liu, M. Brio, and J. V. Moloney, Computation of optical force on nanoparticles using locally non-orthogonal overlapping Yee FDTD method, Journal of Electromagnetic Analysis and Applications, 4, 452-456, 2012.
  7. Y. Zeng, J. Liu, and D. Werner, General Properties of Two-dimensional Conformal Transformations in Electrostatics, Optics Express, 19 (21), 20035-20047, 2011.
  8. J. Liu, M. Brio, Y. Zeng, A. Zakharian, W. Hoyer, S. W. Koch, J. V. Moloney, Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model, J. Comput. Phys., 229 (17), 5921-5932, 2010.
  9. J. Liu, M. Brio, J. V. Moloney, A Diagonal Split-cell Model for the Overlapping Yee FDTD Method, Acta Mathematica Scientia, 29 B (6):1670-1676, 2009.
  10. Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, J. V. Moloney, Classical theory for second-harmonic generation from metallic nanoparticles, Phys. Rev. B, 79, 235109, 2009.
  11. J. Liu, M. Brio, J. V. Moloney, Overlapping Yee FDTD Method on Nonorthogonal Grids, J. Sci. Comput., 39 (1), 129-143, 2009.
  12. N. Feth, S. Linden, M.W. Klein, M. Decker, F.B.P. Niesler, Y. Zeng, W. Hoyer, J. Liu, S.W. Koch, J.V. Moloney, M. Wegener, Second-harmonic generation from complementary split-ring resonators, Opt. Lett., 33, 1975-1977, 2008.
  13. S. Chen, W. Zang, A. Schülzgen, J. Liu, L. Han, Y. Zeng, J. Tian, F. Song, J. V. Moloney, N. Peyghambarian, Implicit high-order unconditionally stable complex envelope algorithm for solving the time-dependent Maxwell’s equations, Opt. Lett., 33, 2755-2757, 2008.
  14. J. Liu, H. Lim, J. Glimm, X. Li, A Conservative Front Tracking Method in N-dimensions, J. Sci. Comput., 31, 213-236, 2007.
  15. J. Jiang, J. Liu, On uniqueness of limit cycle for the equation x” + f(x) \phi(x’) x’ + g(x) = 0, J. Math. Anal. Appl., 284 (1), 1-8, 2003.

Conference Proceedings

  1. J. Liu, M. Brio, Transformation Optics based moving window Finite-Difference Time-Domain method, Proceedings of the 2014 International Conference on Electromagnetics in advanced applications, Palm Beach, Aruba, August 2014.
  2. D. Pokrajac, P. Sivakumar, Y. Markushin, D. Milovic, M. Rana, G. Holness, J. Liu, N. Melikechi, Towards Optimal CLassifier of Spectroscopy Data, Proceedings of the 1st International Conference on Electrical, Electronic and Computing Engineering (icETRAN), Vrnjacka Banja, Serbia, June 2014.
  3. Z. Zeng, J. Liu, F. Liu, Simulation of GPR in multi-scale heterogeneity medium by overlapping Yee FDTD method, the 4rd International Conference on Environmental and Engineering Geophysics, Chengdu, China, 587-593, 2010.
  4. Y. Zeng, W. Hoyer, J. Liu, S. W. Koch, and J. Moloney, A Classical Study of Second-Harmonic Generation from Metallic Nanoparticles, Nonlinear Optics: Materials, Fundamentals and Applications, p. NWB1. Optical Society of America, 2009.
  5. J. Glimm, B. Fix, X. Li, J. Liu, X. Liu, T. Lu, R. Samulyak, Z. Xu, Front Tracking under TSTT, Proceedings of the IGPP-CalSpace Conference, Astronomical Society of the Pacific, 359, 15, 2007.
  6. J. Liu, J. Glimm, X. Li, A Conservative Front Tracking Method, Proceedings of the Tenth International Conference on Hyperbolic Problems: Theory, Numerics, and Applications, Yokohama Publishers, Osaka, Japan, 57-62, 2006.


Oct. 28, 2013: Our paper “Transformation Optics based Local Mesh Refinement for solving Maxwell’s equations” has been accepted for publication in Journal of Computational Physics.

Sept. 26, 2013: Dr. Jinjie Liu received the DSU Vice President’s Choice Awards for researchPhoto.

December 2012: Our paper ”Subpixel smoothing FDTD method for material interface between dielectric and dispersive media”, published in Optics Letters, has been highlighted inSpotlight on Optics”.