A time domain method for electromagnetic wave propagation and scattering

Explicit time integration of Maxwell´s equations has been demonstrated previously by using Yee´s leapfrog method and also using a Lax-Wendroff method. A staggered grid (in space and time) is employed with the leapfrog method, while there is, in general, a dissipation error with the Lax-Wendroff method. In the present work, a novel unstaggered-grid scheme is introduced to solve the system of first-order partial-differential equations, with a parameter to control dissipation errors. Simulation of plane waves scattered from circular and square cylinders is discussed, including the treatment of the far field and the corners. Some preliminary numerical results are presented.<>