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缺陷光子晶体的万尼尔函数,其转换对称性被破坏

Piyali Biswas¹, Heejin Choi¹, Heejeong Jeong²

¹Institute of Advanced Optics and Photonics, Department of Applied Optics, School of Basic Sciences, Hanbat National University, Daejeon, 34158, Korea.

Scientific reports

|September 25, 2025

概括

研究人员开发了一种方法,可以为缺乏对称性的有缺陷的光子晶体创建局部缺陷状态和Wannier函数. 这种方法准确地描述了缺陷部位的局部模式,并通过电磁模拟进行验证.

科学领域:

凝聚物质物理学凝聚物质物理学
光子学是一个光子学.
材料科学是一种材料科学.

背景情况:

瓦尼耶函数提供了使用局部状态的完美晶体的实时空间描述.
转换对称性对于从布洛赫函数直接单元转换至关重要.
有缺陷的光子晶体往往缺乏晶体转换对称性,使分析复杂化.

研究的目的:

为了明确地构建局部缺陷状态和Wannier函数对于有缺陷的光子晶体而没有转化对称性.
来自模拟的真实空间磁场对构造的Wannier函数进行验证.
讨论光子Wannier函数在表示局部缺陷模式中的有效性.

主要方法:

利用从具有反向对称性的完美晶体中获得的函数.
在第一个光子带间隙内的缺陷频率上构建局部缺陷状态.
开发指数局部化的万尼尔函数,用于缺乏转换对称性的缺陷配置.
将构造的Wannier函数与来自电磁模拟的真实空间磁场进行比较.

主要成果:

成功构建了局部化的缺陷状态和指数地局部化的Wannier函数,用于有缺陷的光子晶体.
通过与模拟的真实空间磁场进行比较,验证了这些发现.
在较高的光子带指数下观察到万尼尔函数和磁场之间的偏差.
证明了光子Wannier函数在表示局部缺陷模式中的准确性.

结论:

对于缺乏转换对称性的有缺陷的晶体,可以明确构建光子Wannier函数.
这些函数有效地代表了缺陷部位的指数局部化模式.
该方法为分析有缺陷的光子系统提供了有价值的工具.

关键词:

缺陷的缺陷缺陷的缺陷这是一个光子晶体.对称性对称性对称性对称性对称性转移矩阵是一个转移矩阵.尼尔的功能是Wannier的功能.

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