A Non-dissipative Staggered Fourth-order Accurate Explicit Finite Difference Scheme for the Time-domain Maxwell’s Equations

We consider a divergence-free non-dissipative fourth-order explicit staggered nite di erence scheme for the hyperbolic Maxwell's equations. Special one-sided di erence operators are derived in order to implement the scheme near metal boundaries and dielectric interfaces. Numerical results show the scheme is long-time stable, and is fourth-order convergent over complex domains that include dielectric interfaces and perfectly conducting surfaces. We also examine the scheme's behavior near metal surfaces that are not alligned with the grid axes, and compare its accuracy to that obtained by the Yee scheme.