论文标题
转换孪生以创建异形腔
Transformation twinning to create isospectral cavities
论文作者
论文摘要
有限的域具有离散的本征/光谱，并且具有不同边界和区域的空腔具有不同的光谱。同一双胞胎的一般方法，即通过将来自跨物理学的思想结合在内，包括转化光学，反问题和超材料的披肩来创建不同的空腔的光谱。我们使用非隔离坐标变换对具有变形的六边形鼓的六角形鼓来调节变形的形状，通过将近边界域映射到异质性各向异性介质区域。花键定义了这两个鼓的绘制区域的映射区域，我们通过有限元分析来验证等光谱。
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.
