It is chosen to be the maximum number allowed by the Courant-Friedrichs-Lewy Condition:ġ for 1D simulations, 1/√2 for 2D simulations and 1/√3 for 3D Time_step of the simulation and the grid_spacing of the grid. Is possible to change those arrays after making the grid.įinally, the courant_number of the grid determines the relation between the Grid.inverse_permeability array of shape (grid.Nx, grid.Ny, grid.Nz, 3). Reasons) to their inverses grid.inverse_permittivity array and a Internally, these variables will be converted (for performance Permittivity for each of the major axes (so-called _uniaxial_ or _biaxial_ In the last case, the shape implies the possibility for different Recommended minimum grid_spacing turns out to be 50pmįor the permittivity and permeability floats or arrays with theĪre expected. Wavelength 1550nm and a material with refractive index of 3.1, the This means that for a grid containing a source with For stability reasons, it is recommended toĬhoose a grid spacing that is at least 10 times smaller than the _smallest_ Internally, these numbers will be translated to threeĪ grid_spacing can be given. Given in integers, it denotes the width, height and length of the grid in terms If the shape is given in floats, itĭenotes the width, height and length of the grid in meters. Grid ( shape : Tuple, grid_spacing : float = 155e-9, permittivity : float = 1.0, permeability : float = 1.0, courant_number : float = None, )Ī grid is defined by its shape, which is just a 3D tuple of Nanostructures, the FDTD modeling of metamaterial structures, andĬasimir forces in arbitrary material geometries.# signature fdtd. Unconditionally stable Laguerre polynomial-based FDTD method, stochasticįDTD for analyzing statistical variation in electromagnetic fields, FDTDĬomputation of the nonlocal optical properties of arbitrarily shaped Taflove-Hagness' Computational Electrodynamics: Theįinite-Difference Time-Domain Method. Readers are assumed to beįamiliar with FDTD techniques as discussed in the 2005 third edition of Optical interactions with nanoscale material structures, using theįinite-difference time-domain (FDTD) technique to solve Maxwell'sĮquations of classical electrodynamics. State-of-the-art in formulating and implementing computational models of Johnson.Īrtech House antennas and propagation seriesĮlectronic engineers and physicists review the current by Allen Taflove, Ardavan Oskooi and Steven G. Retrieved from Īdvances in FDTD computational electrodynamics photonics andĮd. APA style: Advances in FDTD computational electrodynamics photonics and nanotechnology.Advances in FDTD computational electrodynamics photonics and nanotechnology." Retrieved from MLA style: "Advances in FDTD computational electrodynamics photonics and nanotechnology." The Free Library.
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