魯汪濤，男，博士，浙江大學數學科學學院研究員。
基本介紹
- 中文名：魯汪濤
- 畢業院校：中國科學技術大學
- 學位/學歷：博士
- 職業：教師
- 專業方向：正反散射問題
- 任職院校：浙江大學數學科學學院
研究方向,個人經歷,主講課程,學術成果,
研究方向
·正反散射問題
·光學、電磁學數學建模和數值計算
·高頻電磁波傳播
個人經歷
主講課程
浙江大學：
2018年冬學期 數值計算方法
2018年春夏學期 微積分（II） 甲
Michigan State University:
2015年秋季學期， MTH234, 微積分III
2014年秋季學期， MTH132, 微積分I
學術成果
主要研究成果：
1.Wangtao Luand Guanghui Hu, Time-harmonic acoustic scattering from a non-locally perturbed trapezoidal surface,SIAM J. Sci. Comp., to appear, 2019.
2.Wangtao Lu, Ya Yan Lu and Dawei Song, A numerical mode matching method for wave scattering in a layered medium with a stratified inhomogeneity,SIAM J. Sci. Comput.,41(2), B274–B294, 2019.
3. Wangtao Lu, Jianliang Qian and Robert Burridge, Extending Babich's ansatz for point-source Maxwell's equations using Hadamard's method,SIAM Multlscale Modeling and Simulations, ,16(2), 727–751, 2018.
4. Wangtao Lu, Ya Yan Lu and Jianliang Qian, Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium,SIAM J. Applied Math., 2018, 78(1), 246-265.
5. Wenbin Li,Wangtao Lu, Jianliang Qian and Yaoguo Li, A multiple level set method for three-dimensional inversion of magnetic data,Geophysics, 2017, 82(5), J61-J81.
6.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.
7. 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.
8. 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.
9. Wenbin Li,Wangtao Luand Jianliang Qian, A level set method for imaging salt structure using gravity data,Geophysics, 81(2), G27-G40, 2015.
10. 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.
11. Wangtao Luand Jianliang Qian, A local level set method for three-dimensional inversion of gravity gradient data,Geophysics, 80, G35-G51, 2015.
12. Wangtao Luand Ya Yan Lu, Efficient high order waveguide mode solvers based on boundary integral equations,Journal of Computational Physics, 272, 507-525, 2014.
13. Wangtao Luand Ya Yan Lu, Efficient boundary integral equation method for photonic crystal fibers,Journal of Lightwave Technology, 20(11), 1610-1616, 2012.
14. Wangtao Luand Ya Yan Lu, High order integral equation method for diffraction gratings,Journal of the Optical Society of America A, 29(5), 734-740, 2012.
15. Wangtao Luand 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.
16. Huan Xie,Wangtao Luand Ya Yan Lu, Complex modes and instability of full-vectorial beam propagation methods,Optics Letters, 36, 2474-2476, 2011.
研究正反散射問題，光子學中的數學建模和科學計算方法，以及高頻電磁波傳播問題，成果如下：
- 首次將邊界積分方程法和完美匹配層（PML）方法結合起來求解分層介質中分界面具有局部擾動的波散射問題。由此開發的數值方法在具有高精度且無需計算背景空間的Green函式，因此計算複雜度比以往的高精度數值算法低。
- 開發了一種利用邊界積分方程法計算光波導中導模的高精度計算方法。對於具有光波導該方法可非常有效處理光（電磁）波在角點處的奇異行結構的光波導。
- 首次提出了針對向量化點源Maxwell方程在非均勻介質中的Green函式的高頻率下的解形式。同時提出了解形式中未知量在點源附近的漸進形式，即源處邊界條件，並開發了高階的格式去計算解形式中的未知量。
