Citation: | Hou Yiran, Wang Yuheng, Wang Xianghui, et al. 2.5-D discontinuous Galerkin time-domain method for Maxwell equations[J]. High Power Laser and Particle Beams, 2021, 33: 073010. doi: 10.11884/HPLPB202133.210056 |
[1] |
Ibanescu M, Fink Y, Fan S, et al. An all-dielectric coaxial waveguide[J]. Science, 2000, 289(5478): 415-419. doi: 10.1126/science.289.5478.415
|
[2] |
Russell P. Photonic crystal fibers[J]. Science, 2003, 299(5605): 358-362. doi: 10.1126/science.1079280
|
[3] |
Moghaddam M, Chew W C, Anderson B, et al. Computation of transient electromagnetic waves in inhomogeneous media[J]. Radio Science, 2016, 26(1): 265-273.
|
[4] |
Moghaddam M, Chew W C, Anderson B, et al. Computation of transient electromagnetic waves in inhomogeneous media[J]. Radio Science, 1991, 26(1): 265-273. doi: 10.1029/90RS00924
|
[5] |
Yee K S. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media[J]. IEEE Transactions on Antennas & Propagation, 1966, 14(5): 302-307.
|
[6] |
Tang Zibin, Liu Qing Huo. The 2.5D FDTD and Fourier PSTD methods and applications[J]. Microwave & Optical Technology Letters, 2003, 36(6): 430-436.
|
[7] |
Belli K, Rappaport C M, Zhan H, et al. Effectiveness of 2-D and 2.5-D FDTD ground-penetrating radar modeling for bridge-deck deterioration evaluated by 3-D FDTD[J]. IEEE Transactions on Geoscience & Remote Sensing, 2009, 47(11): 3656-3663.
|
[8] |
Namiki T. A new FDTD algorithm based on alternating-direction implicit method[J]. IEEE Transactions on Microwave Theory and Techniques, 1999, 47(10): 2003-2007. doi: 10.1109/22.795075
|
[9] |
刘宗信, 陈亦望, 徐鑫, 等. 三维周期结构弱无条件稳定时域有限差分算法[J]. 强激光与粒子束, 2012, 24(11):2687-2692. (Liu Zongxin, Chen Yiwang, Xu Xin, et al. Weakly conditionally stable 3-D FDTD method for periodic structures[J]. High Power Laser and Particle Beams, 2012, 24(11): 2687-2692 doi: 10.3788/HPLPB20122411.2687
|
[10] |
Volakis J L, Chatterjee A, Kempel L C. Finite element method electromagnetics : Antennas, microwave circuits, and scattering applications[M]. Piscataway: IEEE Press, 1998.
|
[11] |
Kong F N, Johnstad S E, Røsten T, et al. A 2.5D finite-element-modeling difference method for marine CSEM modeling in stratified anisotropic media[J]. Geophysics, 2008, 73(1): 9-19.
|
[12] |
Ou Yangxin, David P, Chen Y. Fourier finite element modeling of light emission in waveguides: 2.5-dimensional FEM approach[J]. Optics express, 2015, 23(23): 30259-30269. doi: 10.1364/OE.23.030259
|
[13] |
Ainsworth M. Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods[J]. Journal of Computational Physics, 2008, 198(1): 106-130.
|
[14] |
Hu F Q, Hussaini M Y, Rasetarinera P. An analysis of the discontinuous Galerkin method for wave propagation problems[J]. Journal of Computational Physics, 1999, 151(2): 921-946. doi: 10.1006/jcph.1999.6227
|
[15] |
Hesthaven J S, Warburton T. High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem[J]. Philosophical Transactions, 2004, 362(1816): 493-524. doi: 10.1098/rsta.2003.1332
|
[16] |
Kennedy C A, Carpenter M H, Lewis R M. Low-storage, explicit Runge–Kutta schemes for the compressible Navier–Stokes equations[J]. Applied Numerical Mathematics, 2000, 35(3): 177-219. doi: 10.1016/S0168-9274(99)00141-5
|
[17] |
Chen Geng, Zhao Lei, Yu Wenhua, et al. A general scheme for the discontinuous Galerkin time-domain modeling and S-parameter extraction of inhomogeneous waveports[J]. IEEE Transactions on Microwave Theory and Techniques, 2018, 66(4): 1701-1712. doi: 10.1109/TMTT.2017.2785800
|
[18] |
Almokhtar M, Fujiwara M, Takashima H, et al. Numerical simulations of nanodiamond nitrogen-vacancy centers coupled with tapered optical fibers as hybrid quantum nanophotonic devices[J]. Optics Express, 2014, 22(17): 20045-20059. doi: 10.1364/OE.22.020045
|
[19] |
栗岩锋, 刘博文, 王子涵, 等. 光子晶体光纤色散的有限差分法研究[J]. 中国激光, 2004, 31(10):1257-1260. (Li Yanfeng, Liu Bowen, Wang Zihan, et al. Finite difference analysis of dispersion properties of photonic crystal fibers[J]. Chinese Journal of Lasers, 2004, 31(10): 1257-1260 doi: 10.3321/j.issn:0258-7025.2004.10.023
|
[20] |
Zhu Zhaoming, Thomas G B. Full-vectorial finite-difference analysis of microstructured optical fibers[J]. Optics express, 2002, 10(17): 853-864. doi: 10.1364/OE.10.000853
|