Transformation twinning to create isospectral cavities
Transformation twinning to create isospectral cavities
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DOI：
10.1103/physrevb.108.064209
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发表时间：
2022-09
影响因子：
3.7
通讯作者：
Simon V. Lenz;S. Guenneau;B. Drinkwater;R. Craster;M. Holderied
中科院分区：
文献类型：
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作者：
Simon V. Lenz;S. Guenneau;B. Drinkwater;R. Craster;M. Holderied
有界域具有离散的本征频率/谱，并且具有不同边界和面积的腔具有不同的谱。等光谱孪生的一般方法，使不同腔的光谱一致，是通过结合跨物理学的想法，包括变换光学，逆问题和超材料隐身。我们双胞胎的六角鼓与变形的六角鼓使用非奇异坐标变换，调整变形的形状，通过映射到一个区域的非均匀各向异性介质的近边界域。样条定义映射区孪生这两个鼓，我们验证等谱有限元分析。
Bounded domains have discrete eigenfrequencies/spectra, and cavities with different boundaries and areas have different spectra. A general methodology for isospectral twinning, whereby the spectra of different cavities are made to coincide, is created by combining ideas from across physics including transformation optics, inverse problems and metamaterial cloaking. We twin a hexagonal drum with a deformed hexagonal drum using a non-singular coordinate transform that adjusts the deformed shape by mapping a near boundary domain to a zone of heterogeneous anisotropic medium. Splines define the mapping zone for twinning these two drums and we verify isospectrality by finite element analysis.