...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Exceptional points of Bloch eigenmodes on a dielectric slab with a periodic array of cylinders
【24h】

Exceptional points of Bloch eigenmodes on a dielectric slab with a periodic array of cylinders

机译：具有周期性圆柱体阵列的介电平板上的Bloch特征模点的特殊点

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Eigenvalue problems for electromagnetic resonant states on open dielectric structures are non-Hermitian and may have exceptional points (EPs) at which two or more eigenfrequencies and the corresponding eigenfunctions coalesce. EPs of resonant states for photonic structures give rise to a number of unusual wave phenomena and have potentially important applications. It is relatively easy to find a few EPs for a structure with parameters, but isolated EPs provide no information about their formation and variation in parameter space, and it is always difficult to ensure that all EPs in a domain of the parameter space are found. In this paper, we analyze EPs for a dielectric slab containing a periodic array of circular cylinders. By tuning the periodic structure towards a uniform slab and following the EPs continuously, we are able to obtain a precise condition about the limiting uniform slab, and thereby order and classify EPs as tracks with their endpoints determined analytically. It is found that along each track, a second-order EP of resonant states (with a complex frequency) is transformed to a special kind of third-order EP with a real frequency via a special fourth-order EP. Our study gives a clear and complete picture for EPs in parameter space, and can provide useful guidance to their practical applications.
机译：开放介质结构上电磁共振状态的本征值问题是非厄米问题，可能有两个或多个本征频率和相应本征函数合并的异常点（EP）。光子结构共振态的EPs引起了许多不寻常的波现象，具有潜在的重要应用。对于具有参数的结构，相对容易找到几个EPs，但孤立的EPs无法提供有关其在参数空间中的形成和变化的信息，并且始终难以确保找到参数空间域中的所有EPs。在本文中，我们分析了含有周期性圆柱阵列的介质板的EPs。通过将周期结构调整为均匀板并连续跟踪EPs，我们能够获得关于极限均匀板的精确条件，从而将EPs排序并分类为轨迹，其端点通过解析确定。研究发现，沿着每条轨道，一个共振态的二阶EP（具有复频率）通过一个特殊的四阶EP转化为一种具有实频率的特殊三阶EP。我们的研究为EPs在参数空间中的应用提供了一个清晰完整的图景，可以为EPs的实际应用提供有益的指导。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号