Publications
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.
Wenbin Li, Wangtao Lu, Jianliang Qian and Yaoguo Li, A multiple level set method for three-
dimensional inversion of magnetic data, submitted to Geophysics.
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.
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.
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.
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.
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
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
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
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
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
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
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
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.
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.
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.
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.
Wangtao Lu, Jianliang Qian and Robert Burridge, Babich-like expansion and the fast Huygens
sweeping method for the Maxwell equations at high frequencies, preprint.
Sergey Fomel, Wangtao Lu and Jianliang Qian, Extending high-frequency wave asymptotics to low
frequencies, preprint.
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.
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.
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