부산대학교 도서관

In this study, a new meshless technique named the method of dipole representation (MDPR) is proposed for numerically determining the cutoff wavenumbers (eigenfrequency) of arbitrarily shaped waveguides with an excitation source. MDPR is a de-singularized method similar to the method of auxiliary sources (MASs). Based on the solution of the 2-D Laplace boundary-value problem with rational functions (dipole representations) as basis functions, a form of dipole representation for the problem under consideration is provided in this study. In MDPR, determining the location of the singularities (called poles in this study) is crucial, and a placement scheme for pole location is given by exponential clustering. The numerical results show that the proposed method can be used to effectively solve the arbitrarily shaped waveguide eigenvalue problem and that MDPR can achieve root-exponential convergence.