Perturbative analysis of optical microdisk cavities with boundary deformation

具有边界变形的光学微盘腔的摄动分析

• 批准号: 282484332
• 负责人: Professor Dr. Jan Wiersig
• 金额: --
• 依托单位: Abteilung Theorie der kondensierten Materie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2015
• 资助国家: 德国
• 起止时间: 2014-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/282484332?language=en
• 关键词: Perturbative; analysis; optical; microdisk; cavities

In the recent decade, the study of optical microcavities has become an important subject of research in physics. Most prominent are whispering-gallery cavities, e.g. microdisk cavities, where light is confined on a micrometer scale by total internal reflection at the boundary of the cavity. Deforming the boundary of such cavities has led to a variety of applications and interesting physics. In this project, we are going to employ a perturbation theory to analyze several important aspects of deformed microdisk cavities. We will introduce and study the inverse problem where the far-field emission pattern is given and the corresponding cavity deformation has to be determined. Moreover, we will use the perturbation theory to derive handy formulas for frequency splitting and Q-spoiling. We plan to study the effect of mode coupling on decay rates and relate the perturbation theory to the theory of resonance-assisted tunneling in nearly-integrable quantum systems. Finally, we will use the perturbation theory to analyze the effects of surface roughness.

近十年来，光学微腔的研究已成为物理学的一个重要研究课题。最突出的是回音壁腔，例如微盘腔，其中光通过腔边界处的全内反射被限制在微米尺度上。使这种空腔的边界变形已经导致了各种应用和有趣的物理学。在这个计画中，我们将利用微扰理论来分析变形微盘腔的几个重要方面。我们将介绍和研究的逆问题，其中的远场发射模式是给定的，相应的腔变形必须确定。此外，我们将使用微扰理论推导出方便的频率分裂和Q破坏的公式。我们计划研究模式耦合对衰减率的影响，并将微扰理论与近可积量子系统中的共振辅助隧穿理论联系起来。最后，我们将使用微扰理论来分析表面粗糙度的影响。

项目成果

Pair of Exceptional Points in a Microdisk Cavity under an Extremely Weak Deformation.

• DOI: 10.1103/physrevlett.120.093902
• 发表时间: 2018-02
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: Changhwan Yi;Julius Kullig;J. Wiersig

Corrected perturbation theory for transverse-electric whispering-gallery modes in deformed microdisks

• DOI: 10.1103/physreva.99.063825
• 发表时间: 2018-11
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Manuel Badel;J. Wiersig

Inverse problem for light emission from weakly deformed microdisk cavities

弱变形微盘腔的光发射反问题

• DOI: 10.1103/physreva.94.013851
• 发表时间: 2016
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: M. Kraft;J. Wiersig
• 通讯作者: J. Wiersig

Optical microdisk cavities with rough sidewalls: A perturbative approach based on weak boundary deformations

具有粗糙侧壁的光微盘腔：基于弱边界变形的微扰方法

• DOI: 10.1103/physreva.95.053815
• 发表时间: 2017
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: J. Wiersig;J. Kullig
• 通讯作者: J. Kullig

High-order exceptional points of counterpropagating waves in weakly deformed microdisk cavities

• DOI: 10.1103/physreva.100.043837
• 发表时间: 2019-10
• 期刊: Physical Review A
• 影响因子: 2.9
• 作者: Julius Kullig;J. Wiersig