Publications

  • Journal Articles:

  1. Wangtao Lu, Ya Yan Lu and Jianliang Qian, Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium, arXiv:1610.03589. https://arxiv.org/abs/1610.03589.

  2. Wenbin Li, Wangtao Lu, Jianliang Qian and Yaoguo Li, A multiple level set method for three- dimensional inversion of magnetic data, submitted to Geophysics.

  3. Wangtao Lu, Jianliang Qian and Robert Burridge, Babich-like ansatz for three-dimensional point- source Maxwell's equations in an inhomogeneous medium at high frequencies, SIAM Multiscale Modeling and Simulation, vol. 14, No. 3, 2016. http://dx.doi.org/10.1137/15M1052469.

  4. Jianliang Qian, Wangtao Lu, Lijun Yuan, Songtin Luo and Robert Burridge, Eulerian geometrical optics and fast Huygens sweeping methods for three-dimensional time-harmonic high-frequency Maxwell's equations in inhomogeneous media, SIAM Multiscale Modeling and Simulation, vol. 14, No. 2, 2016. http://dx.doi.org/10.1137/15M1013158.

  5. Wangtao Lu, Jianliang Qian and Robert Burridge, Babich's expansion and the fast Huygens sweeping method for the Helmholtz wave equation at high frequencies, Journal of Computational Physics, vol. 313, 478-510, 2016. http://dx.doi.org/10.1016/j.jcp.2016.02.048.

  6. Wenbin Li, Wangtao Lu and Jianliang Qian, A level set method for imaging salt structure using gravity data, Geophysics, 81(2), G27-G40, 2015. http://dx.doi.org/10.1190/geo2015-0295.1.

  7. Wangtao Lu, Shingyu Leung, and Jianliang Qian, An improved fast local level set method for three-dimensional inverse gravimetry, Inverse Problem and Imaging, 9(2), 479-509, 2015. http://dx.doi.org/10.3934/ipi.2015.9.479

  8. Wangtao Lu and Jianliang Qian, A local level set method for three-dimensional inversion of gravity gradient data, Geophysics, 80, G35-G51, 2015. http://dx.doi.org/10.1190/geo2014-0188.1

  9. Wangtao Lu and Ya Yan Lu, Efficient high order waveguide mode solvers based on boundary integral equations, Journal of Computational Physics, 272, 507-525, 2014. http://dx.doi.org/10.1016/j.jcp.2014.04.028

  10. Wangtao Lu and Ya Yan Lu, Efficient boundary integral equation method for photonic crystal fibers, Journal of Lightwave Technology, 20(11), 1610-1616, 2012. http://dx.doi.org/10.1109/JLT.2012.2189355

  11. Wangtao Lu and Ya Yan Lu, High order integral equation method for diffraction gratings, Journal of the Optical Society of America A, 29(5), 734-740, 2012. https://doi.org/10.1364/JOSAA.29.000734

  12. Wangtao Lu and Ya Yan Lu, Waveguide mode solver based on Neumann-to-Dirichlet operators and boundary integral equations, Journal of Computational Physics, 231(4), 1360-1371, 2012. http://dx.doi.org/10.1016/j.jcp.2011.10.016

  13. Huan Xie, Wangtao Lu and Ya Yan Lu, Complex modes and instability of full-vectorial beam propagation methods, Optics Letters, 36, 2474-2476, 2011. https://doi.org/10.1364/OL.36.002474

  • Conference Proceedings:

  1. Wangtao Lu, Jianliang Qian, and Robert Burridge, Babich-expansion based fast Huygens sweeping methods for point-source Helmholtz equations, SEG WORKSHOP: Depth Modeling Building: Full-waveform Inversion, Beijing, China, P98-P101, 18-19 June, 2015.

  2. Wangtao Lu and Ya Yan Lu, New integral equation mode solver for waveguides with sharp corners and high index-contrast, ICO International Conference on Information Photonics, Ottawa, Ontario, 18-20 May, 2011.

  3. Wangtao Lu and Ya Yan Lu, Analyzing photonic crystals with arbitrary unit cells using boundary integral equations, Advanced Photonics, OSA Technical Digest (CD), OSA, Toronto, Canada, 12-15 June, 2011.

  4. Wangtao Lu and Ya Yan Lu, Improved boundary integral equation Neumann-to-Dirichlet map method for diffraction gratings, The 17th Microopics Conference (MOC), Sendai, 30 Oct.-2. Nov, Japan, 2011.

  • Preprints:

  1. Wangtao Lu, Jianliang Qian and Robert Burridge, Babich-like expansion and the fast Huygens sweeping method for the Maxwell equations at high frequencies, preprint.

  2. Sergey Fomel, Wangtao Lu and Jianliang Qian, Extending high-frequency wave asymptotics to low frequencies, preprint.

  3. Wangtao Lu, Jianliang Qian and Robert Burridge, Eulerian geometrical optics and fast Huygens sweeping methods for time-harmonic high-frequency elastic wave equations in inhomogeneous media, preprint.

  4. Wangtao Lu, Jianhua Yuan and Ya Yan Lu, Modeling photonic crystals of arbitrary unit cells by a boundary integral equation Neumman-to-Dirichlet map method, preprint.