Staggered Grid for Maxwell’s Equations in 3-D Anisotropic Media
The standard staggered grid for Maxwell’s equations is awkward for anisotropic media because the different components of the electric and magnetic fields are located at different nodes. There is, however, a natural alternative that places all components of the electric field at each node of one grid and all components of the magnetic field at each node of a staggered grid. This staggering allows a conservative finite-difference approximation for Maxwell’s equations with arbitrary 3-D tensor electrical conductivity, magnetic permeability, and dielectric permittivity. An example of the time-domain solution using spectral Lanczos decomposition is considered.