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FDTD(Finite-Difference Time-Domain) ??? ?? ??? ? ??? ??? ?? ?? ???? ??? ?????. FDTD? ??? ?? ?? ??? ??? (Maxwell’s equations)? ?? ??, ????? ??? ?? ??? ?? ??? ??? ??? ???? ?????.

FDTD? ??? ???? ??? ??? ??????

FDTD ??? mesh? ?? ??? ???? ?? Δx, Δy ? Δz ???? ??? grid point?? E? H? ???? E? H? 3D ???? ?? ?????. FDTD? ??, ??, ??, ?? ?? ??? ?????. FDTD? ?? ?? ?????? ?? ??? ?? (Fast Fourier Transform, FFT) ? ?? ??? ?? (Discrete Fourier Transform, DFT)? ???? ??? ??? ?????.

FDTD Yee Cell of dimension Ax, Ay, Az. | 草榴社区

FDTD Yee Cell of dimension Ax, Ay, Az. [3]

?? ??? ???? ?? FDTD? ????????

FDTD? ??? ???? ???? ???? ?? ??? ????? ? ? ????. ? ??? ???? ?????? LED, ?? ??, ??, ? ???, ??? ?? ? ??, ??, ?? ? ???? ?????, ??? ??, ?? ??(?? ???)? ?????. ?? ????? ?? ??? ??? FullWAVE FDTD? ??????.

FDTD Simulation of Y-branch PBG splitter | 草榴社区

FDTD Simulation of Y-branch PBG splitter

草榴社区 ??? ???? ??? ??????

FDTD ???? ?? ?????? ??????

草榴社区? FDTD ??? ???? ?? ??? ??? ??? ?????.

RSoft Photonic Device Tools ? ??? 草榴社区? FullWAVE FDTD ????? ?????? FDTD? ???? ??? ??? full-vector ?????? ?????. ?? ??? ??? ???? ?? ? ???? ???? ????? ? ?? ??? ??? FullWAVE FDTD? ? ?? ????? ?? ??? ?? ??? ?? ?????. ???? ?? (integrated) ? ?? ? ??? ??, FullWAVE FDTD? LED ??? ?? ??, ?? ?? ?? (DOE) ??, PIC/Custom PDK element ??, ?????? ? ?? ?? ??? ?? ????? ???? ????.

FullWAVE FDTD ?? : ?? ???? ?? Spatial Multiplexer ??

? ??? ? ??? ?? ??? ? ?? ??? ? ??? ???? ?? ??? ?? ?? ?? ? ?????. ?? ???? ?? ???? ?? ??? ????? ? ?? ?? ?? ??? ??? ? ?? ??? ?????. ? ???? ?? ??? ???? ?? ????? ?? ? ?? ??? ?? ??? ? ????.

?? ? ??? ???? ???? ???? ? ??? ? ?? ???? ??? ?? ???? ????? ??(excitation)??? ????. ? ??? ???????? ?? ? ??? ?? ??? ?? ???? ??? ?? ??? ?? ??? ???? ???? ??? full-vector ??? ??? ?????. FullWAVE FDTD? ??? ??? ????? ???? ?????. FullWAVE? ??? ???? ?? full-vector ???? ???? ????? ??? ?? ??, ??? ?? ??, ???? ?? ? ??? ?? ??? ???? ??? ???? ??? ??? ?? ????? ?? ?? ??? ???? ??? ? ????. ??? ?? ????? FullWAVE FDTD?? ??? ? ???? ?? ??? ?? ?? ??? ??? ? ????.

?? 1?? ??? ?? ???? ?? spatial multiplexer? ?? ??? metal-strip ??? ? ??? ?? ???? ???? ?????. ?? 3?? metal-strip ??? ??? ???? ??? ??? ???? ?? ??? ??? ??? ? ??? ?? ???? 3D FullWAVE FDTD ?????? ??? ???????. 

Figure 1: Schematic of the surface plasmon spatial multiplexer | 草榴社区

?? 1: surface-plasmon spatial multiplexer? ???

Figure 2: Simulation results showing the amplitude of the Ey field on the surface of the metal film:   a) Normal incidence light (shown above) is coupled into the central metalstrip waveguide  b) Angled incident light is coupled into one of the side metal strip waveguides | 草榴社区

?? 2: ?? ?? ??? Ey ?? ??? ???? ????? ??

a) ?? ???? ?? metal-strip ???? ?????.

b) ??? ?? ???? ?? metal-strip ??? ? ??? ?????.

Chip interconnect?? ?? ???? ??? ???? ?? ?? ? ??? ?? ? ????. ? ??? ? ? ??? FullWAVE FDTD? ?? ??? ????? ?????? ?? ???? ?? ??? ???? ?? ??? ?????? ? ??? ??? ?????.

? ?? ??? ?? ???? ??? ???? ??? ???????.

?? ??:

  1. J.P. Berenger, “A Perfectly Matched Layer for the Absorption of Electromagnetic waves” J. Comput. Phys., 114, 185 (1994) 
  2. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech House, Norwood, MA, 1995) 
  3. K.S. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media” IEEE Trans. Antennas Propagat., AP-14, 302 (1966)
  4. A. Imre et al. "Multiplexing surface plasmon polaritons on nanowires" Applied Physics Letters 91 083115 (2007).