Development of a locally one-dimensional FDTD method for the analysis of circularly symmetric structures and its application to the design of microwave devices

基于局部一维格式的旋转体时域有限差分法（LOD-BOR-FDTD）可以有效地分析圆对称结构。特别是，一般配方，以治疗高阶模式相对于旋转方向。其结果是，计算时间减少到只有28%的传统的显式方法分析的高阶模式的谐振频率的圆形腔谐振器。此外，LOD-FDTD方法扩展到三维（3-D）版本。在此基础上，提出了一种基于频变的三维LOD-FDTD方法来分析等离子体器件。

The body-of-revolution finite-difference time-domain method based on the locally one-dimensional scheme (LOD-BOR-FDTD) has been developed for the efficient analysis of circularly symmetric structures. In particular, the general formulation is presented in order to treat higher-order modes with respect to the rotational direction. As a result, the computational time is reduced to only 28% of that of the conventional explicit method for the analysis of resonance frequencies of higher-order modes for a circular cavity resonator. In addition, the LOD-FDTD method is extended to a three-dimensional (3-D) version. Furthermore, a frequency-dependent 3-D LOD-FDTD method is developed to analyze plasmonic devices.