A hybrid DGTD scheme for transient analysis of electromagnetic field interactions on microwave systems loaded with thin wires

Use of the discontinuous Galerkin time-domain (DGTD) method for analyzing electromagnetic field interactions on microwave structures loaded with thin wires has been very limited despite its well-known advantages. Direct application of the three dimensional (3D) DGTD method to such structures calls for very fine volumetric discretizations in the proximity of the thin wires. In this work, to avoid this possible source of computational inefficiency, electromagnetic field interactions on thin wires and the rest of the structures are modeled separately using the modified telegrapher and Maxwell equations, respectively. Then, 1D and 3D DGTD methods are used to discretize them. The coupling between the two resulting matrix systems is realized by introducing equivalent source terms in each equation set. A weighted electric field obtained from the 3D discretization around the wire is introduced as a voltage source in the telegrapher equations. A volume current density obtained from the 1D discretization on the wire is introduced as a current source in the Ampere law equation.