@article{oai:muroran-it.repo.nii.ac.jp:00009592, author = {佐藤, 慎悟 and SATO, Shingo and 森田, 好人 and MORITA, Yoshihito and 長谷川, 弘治 and HASEGAWA, Koji and 嶋田, 賢男 and SHIMADA, Takao}, journal = {計算数理工学論文集, Transactions of the Japan Society for Computational Methods in Engineering}, month = {Dec}, note = {application/pdf, A scheme based on the hybrid Trefftz finite element method (HTFEM) of electromagneticwave propagation in a waveguide results in a nonlinear eigenvalue problem. Solving theeigenvalue problem by the Sakurai-Sugiura projection method (SSM) yields all propagationconstants and spurious solutions in the region bounded with a closed integral pathfor SSM on the complex plane of the propagation constant. In our previous paper, usingdependency of the spurious solutions on the boundary of the region, we could discard thespurious solutions. Seeking a simple index which can separate the eigenvalues into thepropagation constants and spurious solutions, we examined following two values of thegeneralized eigenvalue problem with a Hankel and the shifted Hankel matrices computedby SSM: the sensitivity of the eigenvalue problem and the eigenvalue of the Hankel matrix.Numerical results of a three layered dielectric waveguide and a metallic grating on a slabwaveguide show the usefulness of the presented indices.}, pages = {31--36}, title = {電磁波導波路非線形固有値問題の解の判別法(線形化問題の固有値あるいは固有値の感度を用いる方法)}, volume = {12}, year = {2012}, yomi = {サトウ, シンゴ and モリタ, ヨシヒト and ハセガワ, コウジ and シマダ, タカオ} }