直接确定光子止带拓扑特性:基于色散测量的框架

IF 3.7 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Advanced Photonics Research Pub Date : 2024-02-05 DOI:10.1002/adpr.202300155
Nitish Kumar Gupta, Sapireddy Srinivasu, Mukesh Kumar, Anjani Kumar Tiwari, Sudipta Sarkar Pal, Harshawardhan Wanare, S. Anantha Ramakrishna
{"title":"直接确定光子止带拓扑特性:基于色散测量的框架","authors":"Nitish Kumar Gupta,&nbsp;Sapireddy Srinivasu,&nbsp;Mukesh Kumar,&nbsp;Anjani Kumar Tiwari,&nbsp;Sudipta Sarkar Pal,&nbsp;Harshawardhan Wanare,&nbsp;S. Anantha Ramakrishna","doi":"10.1002/adpr.202300155","DOIUrl":null,"url":null,"abstract":"<p>Ascertainment of photonic stopband absolute topological character requires information regarding the Bloch eigenfunction spatial distribution. Consequently, the experimental investigations predominantly restrict themselves to the bulk-boundary correspondence principle and the ensuing emergence of topological surface state. Although capable of establishing the equivalence/inequivalence of bandgaps, the determination of their absolute topological identity remains out of its purview. The alternate method of reflection phase-based identification also provides only contentious improvements owing to the measurement complexities pertaining to the interferometric setups. To circumvent these limitations, the Kramers–Kronig amplitude-phase causality considerations are resorted to and an experimentally conducive method is proposed for bandgap topological character determination directly from the parametric reflectance measurements. Particularly, it is demonstrated that in case of 1D photonic crystals, polarization-resolved dispersion measurements suffice in qualitatively determining bandgaps’ absolute topological identities. By invoking the translational invariance of the investigated samples, a parameter “differential effective mass” is also defined, that encapsulates bandgaps’ topological identities and engenders an experimentally discernible bandgap classifier.</p>","PeriodicalId":7263,"journal":{"name":"Advanced Photonics Research","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/adpr.202300155","citationCount":"0","resultStr":"{\"title\":\"Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements\",\"authors\":\"Nitish Kumar Gupta,&nbsp;Sapireddy Srinivasu,&nbsp;Mukesh Kumar,&nbsp;Anjani Kumar Tiwari,&nbsp;Sudipta Sarkar Pal,&nbsp;Harshawardhan Wanare,&nbsp;S. Anantha Ramakrishna\",\"doi\":\"10.1002/adpr.202300155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Ascertainment of photonic stopband absolute topological character requires information regarding the Bloch eigenfunction spatial distribution. Consequently, the experimental investigations predominantly restrict themselves to the bulk-boundary correspondence principle and the ensuing emergence of topological surface state. Although capable of establishing the equivalence/inequivalence of bandgaps, the determination of their absolute topological identity remains out of its purview. The alternate method of reflection phase-based identification also provides only contentious improvements owing to the measurement complexities pertaining to the interferometric setups. To circumvent these limitations, the Kramers–Kronig amplitude-phase causality considerations are resorted to and an experimentally conducive method is proposed for bandgap topological character determination directly from the parametric reflectance measurements. Particularly, it is demonstrated that in case of 1D photonic crystals, polarization-resolved dispersion measurements suffice in qualitatively determining bandgaps’ absolute topological identities. By invoking the translational invariance of the investigated samples, a parameter “differential effective mass” is also defined, that encapsulates bandgaps’ topological identities and engenders an experimentally discernible bandgap classifier.</p>\",\"PeriodicalId\":7263,\"journal\":{\"name\":\"Advanced Photonics Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-02-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/adpr.202300155\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advanced Photonics Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/adpr.202300155\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Photonics Research","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/adpr.202300155","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

确定光子止带的绝对拓扑特性需要布洛赫特征函数空间分布的相关信息。因此,实验研究主要局限于体界对应原理和随之出现的拓扑表面态。虽然能够确定带隙的等价/不等价,但确定其绝对拓扑特性仍不在其研究范围之内。由于干涉装置的测量复杂性,基于反射相位的另一种识别方法也只能提供有争议的改进。为了规避这些限制,我们采用了克拉默-克罗尼格振幅-相位因果关系,并提出了一种有利于实验的方法,可直接通过参数反射测量确定带隙拓扑特性。特别是,研究证明,在一维光子晶体中,偏振分辨色散测量足以定性地确定带隙的绝对拓扑特性。通过引用所研究样品的平移不变性,还定义了一个参数 "差分有效质量",该参数包含了带隙的拓扑特性,并产生了一个实验可识别的带隙分类器。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

摘要图片

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Direct Determination of Photonic Stopband Topological Character: A Framework Based on Dispersion Measurements

Ascertainment of photonic stopband absolute topological character requires information regarding the Bloch eigenfunction spatial distribution. Consequently, the experimental investigations predominantly restrict themselves to the bulk-boundary correspondence principle and the ensuing emergence of topological surface state. Although capable of establishing the equivalence/inequivalence of bandgaps, the determination of their absolute topological identity remains out of its purview. The alternate method of reflection phase-based identification also provides only contentious improvements owing to the measurement complexities pertaining to the interferometric setups. To circumvent these limitations, the Kramers–Kronig amplitude-phase causality considerations are resorted to and an experimentally conducive method is proposed for bandgap topological character determination directly from the parametric reflectance measurements. Particularly, it is demonstrated that in case of 1D photonic crystals, polarization-resolved dispersion measurements suffice in qualitatively determining bandgaps’ absolute topological identities. By invoking the translational invariance of the investigated samples, a parameter “differential effective mass” is also defined, that encapsulates bandgaps’ topological identities and engenders an experimentally discernible bandgap classifier.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
2.70%
发文量
0
期刊最新文献
Masthead Structural Colors Derived from the Combination of Core–Shell Particles with Cellulose Ultrafast Terahertz Superconductor Van der Waals Metamaterial Photonic Switch Masthead Progress on Coherent Perovskites Emitters: From Light-Emitting Diodes under High Current Density Operation to Laser Diodes
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1