曲边域上二维电磁场边值问题的直线法分析

Extended Method of Lines for 2-D EM Boundary Value Problems with Curved Boundaries

到目前为止,直线法仅应用于矩形域或复合矩形域上的电磁场边值问题。本文基于复合矩形域上的直线法原理,建立了曲边域上二维电磁场边值问题的直线法模型,并以方—圆过渡波导中主模的截止波长和矩形波导E面拐角的等效电路参量的计算为例验证了该模型的准确性,同时体现出该方法公式推导简单,计算量小的优点。

So far the application of method of lines is restricted to electromagnetic boundary value problems (EM BVPs) in rectangular or compound rectangular regions with straight line boundaries.In this paper, a model of method of lines for 2-D EM BVPs defined in regions with curved boundaries is established based on the same method for EM BVPs in compound rectangular regions.The cut-off wavelengths of dominant mode in rectangular-to-circular waveguide transition and the equivalent circuit parameters of rectangular waveguide E-plane bends are calculated.The method is verified by the obtained numerical results.It is shown that the method possesses some advantages such as easy formulation and less computation time.