A HYBRID METHOD SOLUTION OF SCATTERING BY CONDUCTING CYLINDERS (TM CASE)

The finite element or finite difference techniques are well known for the solution of Maxwell's equation in differential form, But terminati ng the mesh accurately at a finite distance from the body in case of a n open problem is a major challenge, Previously, the method has been a pplied for only electrostatic problems, This hybrid method is applied for TM scattering problems and results are documented in this paper, T his new approach, as in the electrostatic case, allows for the termina ting surface to encapsulate the body very tightly. As before, the fini te element technique is used for open region problems whereas the inte gral equation solution approach using Green's function is applied to e nforce the radiation condition. At each iteration cycle, the induced c urrents on the conducting cylinder are evaluated and their scattered f ields at the terminating surface is calculated, Using this method for TM cases, the computational efficiency of the finite element method ca n be increased. It can be generalized for the case of inhomogeneous an d nonlinear media, In this paper numerical results are presented for t he solution of Helmholtz's equation to illustrate the accuracy of the technique.