Holland and Kunz & Lee applied Yee's algorithm to EMP problems. Taflove and Brodwin reported the first sinusoidal steady-state FDTD solutions of two- and three-dimensional electromagnetic wave interactions with material structures and the first bioelectromagnetics models. Lam reported the correct numerical CFL stability condition for Yee's algorithm by employing von Neumann stability analysis. Yee described the FDTD numerical technique for solving Maxwell's curl equations on grids staggered in space and time.
įirst appearance of von Neumann's method of stability analysis for implicit/explicit time-dependent finite difference methods. Ĭourant, Friedrichs, and Lewy (CFL) publish seminal paper with the discovery of conditional stability of explicit time-dependent finite difference schemes, as well as the classic FD scheme for solving second-order wave equation in 1-D and 2-D. Partial chronology of FDTD techniques and applications for Maxwell's equations. The following lists some of the key publications in this area. ( January 2021)Īn appreciation of the basis, technical development, and possible future of FDTD numerical techniques for Maxwell's equations can be developed by first considering their history. Please be sure that the supposed source of the copyright violation is not itself a Wikipedia mirror.
#PYTHON FDTD FREE#
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#PYTHON FDTD SOFTWARE#
As of 2013, there are at least 25 commercial/proprietary FDTD software vendors 13 free-software/ open-source-software FDTD projects and 2 freeware/closed-source FDTD projects, some not for commercial use (see External links).ĭevelopment of FDTD and Maxwell's equations In 2006, an estimated 2,000 FDTD-related publications appeared in the science and engineering literature (see Popularity). Current FDTD modeling applications range from near- DC (ultralow-frequency geophysics involving the entire Earth- ionosphere waveguide) through microwaves (radar signature technology, antennas, wireless communications devices, digital interconnects, biomedical imaging/treatment) to visible light ( photonic crystals, nano plasmonics, solitons, and biophotonics). Since about 1990, FDTD techniques have emerged as primary means to computationally model many scientific and engineering problems dealing with electromagnetic wave interactions with material structures. The descriptor "Finite-difference time-domain" and its corresponding "FDTD" acronym were originated by Allen Taflove in 1980. The novelty of Kane Yee's FDTD scheme, presented in his seminal 1966 paper, was to apply centered finite difference operators on staggered grids in space and time for each electric and magnetic vector field component in Maxwell's curl equations.
Yee, born 1934) is a numerical analysis technique used for modeling computational electrodynamics (finding approximate solutions to the associated system of differential equations).
This scheme involves the placement of electric and magnetic fields on a staggered grid.įinite-difference time-domain ( FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. In finite-difference time-domain method, "Yee lattice" is used to discretize Maxwell's equations in space.