A Three-Dimensional Transmission Line Matrix Method (TLM) In Curvilinear Coordinates

The transmission line matrix TLM method is a numerical time-domain technique that has been widely used for solving a great variety of electromagnetic wave propagation problems. The space to be modeled is divided into discrete meshes. A good description of arbitrary geometry and boundaries remains a significant challenge in electromagnetic modeling concerning the computer resources and simulation time. A Cartesian mesh can be used in TLM to describe a regular boundary. Curved walls are represented by piecewise straight boundaries which induce spurious modes that are not acceptable in some problems. For the study of the propagation of electromagnetic waves in volumes having curvilinear boundaries, we propose and investigate new curvilinear discrete mesh. A TLM algorithm is developed directly from integral Maxwell's equations. The formulation and the scattering matrices for curvilinear node are presented. The accuracy of a particular curvilinear node (cylindrical node) will be proved.