Introduction of plane-wave of two-dimension node TDFEM bases on method of Galerkin: TM case

The computation region is divided into total and scattered field regions, total and scattered field scalar wave formulation are given according to Maxwell´s equations and first-order absorbing boundary condition. Then the residuals of entire computation region are given. The weak form solutions of wave equation are given by take integration over computation domain and its boundary. Finally, a numerical example is given to illustrate the feasibility of the presented scheme.