A Two-Dimensional Nonorthogonal WLP-FDTD Method for Eigenvalue Problems
This letter proposes an unconditionally stable finite-difference time-domain (FDTD) method with weighted Laguerre polynomials (WLPs) to solve electromagnetic (EM) problems in a generalized coordinate system. The nonorthogonal WLP-FDTD formulation for the two-dimensional TE mode is presented, and the covariant and contravariant field representations are given. The nonorthogonal mesh is introduced to model the complex region only, while the conventional rectangular mesh is used for the remaining regions. Two numerical examples with curved edges are calculated. Compared with the staircase WLP-FDTD and nonorthogonal FDTD methods, the results from our proposed method show its accuracy and efficiency for solving EM eigenvalue problems.