DSC time-domain solution of Maxwell’s equations

A new computational algorithm, the discrete singular convolution (DSC), is introduced for solving scattering and guided wave problems described by time-domain Maxwell’s equations. The DSC algorithm is utilized for the spatial discretization and the fourth-order Runge–Kutta scheme is used for the time advancing. Staggered meshes are used for electromagnetic fields. Four standard test problems, a hollow air-filled waveguide, a dielectric slab-loaded rectangular waveguide, a shield microstrip line and a dielectric square, are employed to illustrate the usefulness, to test the accuracy and to explore the limitation of the DSC algorithm. Results are compared with those of finite difference, scaling function multi-resolution time domain, and finite element-based high frequency structure simulator. Numerical experiments indicate that the present algorithm is a promising approach for achieving high accuracy in electromagnetic wave computations.