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As a practical matter, almost everything you might want to compute (transmission spectra, frequencies, etcetera) is expressed as a ratio anyway, so the units end up cancelling. You may have noticed the lack of annoying constants like ε 0, μ 0, and c - that's because Meep uses "dimensionless" units where all these constants are unity (you can tell it was written by theorists).
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Meep supports simulation in cylindrical coordinates: see Cylindrical coordinates in Meep. These effects are supported in Meep and are described in Materials in Meep. Most generally, ε depends not only on position but also on frequency (material dispersion) and on the field E itself (nonlinearity), and may include loss or gain. The σ B and σ D terms correspond to (frequency-independent) magnetic and electric conductivities, respectively. (Magnetic currents are a convenient computational fiction in some situations.) B is the magnetic flux density (often called the magnetic field), μ is the magnetic permeability, and H is the magnetic field. Where D is the displacement field, ε is the dielectric constant, J is the current density (of electric charge), and J B is the magnetic-charge current density. In particular, the equations for the evolution of the fields are: Meep simulates Maxwell's equations, which describe the interactions of electric ( E) and magnetic ( H) fields with one another and with matter and sources. The user interface is introduced in the Meep tutorial. Instead, we focus here on the concepts that are being simulated. This introduction does not describe the user interface with which you can tell Meep to perform these tasks.
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Also, FDTD is only one of several useful computational methods in electromagnetism, each of which has their own special uses-we mention a few of the other methods, and try to give some hints as to which applications FDTD is well suited for and when you should consider a different method. In this section, we introduce 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 then 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 electromagnetism.