The compensation of coarseness error in 2D TLM modeling of microwave structures

Abstract

The origin of the coarseness error in two-dimensional TLM (transmission line matrix) meshes is investigated, and a method for compensating the coarseness effect without increasing the computational expenditure is presented. The coarseness error can be eliminated by modifying the properties of the nodes situated at sharp corners or edges. The compensation is achieved by adding reactive stubs to the corner nodes. As a result, relatively coarse TLM meshes may be used to obtain highly accurate results. The efficiency and accuracy of this method are demonstrated by comparison with analytically exact solutions. The savings in computational expenditure are typically three orders of magnitude in 2D-TLM simulations.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>