电子学报2016，Vol.44Issue(10)：2548-2555,8.DOI:10.3969/j.issn.0372-2112.2016.10.038
基于裁剪造型的等几何分析方法求解波导本征值问题
Isogeometric AnaIysis with Trimming Technique for the Waveguide EigenvaIue ProbIem
摘要
Abstract
The geometric model and analysis model can be uniformly described by NURBS in isogeometric analysis method,so the model transformation process is avoided.However,since the analysis domain of IGA should be composed of tensor-product patches,it is difficult to deal with the issue of complex multiply connected domains.IGA based on trimming technique is constructed by NURBS geometric modeling of underlying surface and trimming curve,and then,directly map a parameter space trimmed by NURBS curve as the complicated holed structure,only one parameter space is sufficient to de-scribe arbitrary complex topology.The advantages and properties of conventional IGA are maintained,and also,the range ap-plication of IGA is enlarged.In this paper,IGA based on trimming technique is expanded to the TE waveguide eigenvalue problem.With the solution of cutoff wave number for complicated multiholes structure,the effectiveness and high accuracy of proposed method are demonstrated by corresponding numerical examples.关键词
波导本征值/等几何分析/NURBS/裁剪/背景曲面/多孔结构Key words
waveguide eigenvalue/isogeometric analysis/non-uniform rational B-spline(NURBS)/trimming tech-nique/underlying surface/multiholes structure分类
信息技术与安全科学引用本文复制引用
林皋,李鹏,刘俊,张勇,王峰..基于裁剪造型的等几何分析方法求解波导本征值问题[J].电子学报,2016,44(10):2548-2555,8.基金项目
国家自然科学基金（No．51409038，No．51138001）；中国博士后科学基金（No．2013M530919，No．2014T70251）；上海交通大学海洋工程国家重点实验室开放基金（No．1202）；中央高校基本科研业务费专项（No．DUT15RC（4）23） （）
