NUMERICAL-SOLUTION TO MAXWELLS EQUATIONS IN THE TIME-DOMAIN ON NONUNIFORM GRIDS

In most integration schemes for the Maxwell's equations, damping and d istortion errors are strongly dependent on the size of the time step i n relation to the size of the spatial discretization Delta x. The disa dvantage of strong dependence on this ratio becomes evident when one c omputes the solution on nonuniform meshes. A systematic way for arrivi ng at a scheme that can operate accurately on nonuniform meshes is pre sented here. Performance of a higher-order scheme is compared with tha t of another recently developed scheme on a ramp grid.