Moreover, since in Meep units, (or ) is the unit of time as well. That means choosing some characteristic lengthscale in the system,, and using that as the unit of distance. See Chapter 2 of Photonic Crystals: Molding the Flow of Light (second edition). In particular, because Maxwell's equations are scale invariant (multiplying the sizes of everything by 10 just divides the corresponding solution frequencies by 10), it is convenient in electromagnetic problems to choose scale-invariant units. As a practical matter, almost everything you might want to compute ( reflectance/transmittance spectra, resonant/mode frequencies, etcetera) is expressed as a ratio anyway, so the units end up cancelling. You may have noticed the lack of constants like, , and - that's because Meep uses dimensionless units where all these constants are unity. These effects are supported in Meep and are described in Materials.įor rotationally symmetric geometries, Meep supports simulation in Cylindrical Coordinates. Generally, depends not only on position but also on frequency (material dispersion) and on the field itself (nonlinearity), and may include loss or gain. The and terms correspond to (frequency-independent) magnetic and electric conductivities, respectively. is the magnetic flux density (often called the magnetic field), is the magnetic permeability, and is the magnetic field. Magnetic currents are a convenient computational fiction in some situations. Where is the displacement field, is the dielectric constant, is the current density (of electric charge), and B is the magnetic-charge current density. In particular, the equations for the time evolution of the fields are: Meep simulates Maxwell's equations, which describe the interactions of electric () and magnetic () fields with one another and with matter and sources. For tutorial examples which demonstrate core functionality, see Tutorial/Basics and this projects page. Instead, the focus here is on the physics and numerical methods. This introduction does not describe the Python Interface with which you set up simulations. Also, FDTD is only one of several useful methods in computational electromagnetics, each of which has their own special uses - a few of the other methods are mentioned, and some hints are provided as to which applications FDTD is well suited for and when you should potentially consider a different method. This section introduces the equations and the electromagnetic units employed by Meep, the FDTD method, and Meep's approach to FDTD. This is a widely used technique in which space is divided into a discrete grid and the fields are evolved in time using discrete time steps - as the grid and the time steps are made finer and finer, this becomes a closer and closer approximation for the true continuous equations, and one can simulate many practical problems essentially exactly. Meep implements the finite-difference time-domain ( FDTD) method for computational electromagnetics. Tutorial/Multilevel Atomic Susceptibility.Tutorial/Resonant Modes and Transmission in a Waveguide Cavity.Synchronizing the Magnetic and Electric Fields.Other Numerical Methods in Computational Electromagnetics.I can't wait for season 2, as it will be breaking new ground and getting past the plot of the original movie. It bears mentioning that the whole season is beautifully and excellently shot and edited. the actors are all settled into their parts by this point, and the expanded mythology starts to come together in very satisfying ways. The back half of the first season was phenomenal. But alas, I stuck with the whole first season, trusting in my beloved RR that he had a real vision and purpose to expanding this story.And I'm glad I did. "If it ain't broke, don't fix it" was my sentiment. When this project was first announced, I was hesitant about the idea of essentially a remake of one of my favorite movies. That and the fact that to anyone who's seen the movie, which probably 98% of the viewership has, it may feel like an overly long trip to the bloody fun you know is coming at the Titty Twister. The first few episodes AFTER the pilot seem to drag a bit, and you're left seriously questioning whether all these discombobulated plot points are actually going anywhere.
#FDTD WIKI MOVIE#
Is it mildly ridiculous for a director to remake his own (admittedly awesome) movie into a t.v show? Sorta. Is this the best supernatural/horror show ever done? No.