论文标题
瑞利布洛克在截止
RayleighBloch waves above the cut-off
论文作者
论文摘要
通过转移操作员的离散频谱研究了包含单个圆柱体的广义通道，研究了截止频率上方的雷利河波的扩展。它们的波数被证明变得复杂，并出现了另外一对波数。对于中间至中间半径的值，显示了扩展的雷利 - 蓝oh射波连接neumann和dirichlet捕获的模式，然后嵌入连续频谱中。随着频率的增加，雷利 - 布洛克波会消失，但在高频和大型圆柱体的高频下重新出现。瑞利 - 蓝oh射波的存在和特性与有限的阵列共振有关。
Extensions of Rayleigh-Bloch waves above the cut-off frequency are studied via the discrete spectrum of a transfer operator for a generalised channel containing a single cylinder. Their wavenumbers are shown to become complex-valued and an additional pair of wavenumbers to appear. For small to intermediate radius values, the extended Rayleigh-Bloch waves are shown connect the Neumann and Dirichlet trapped modes, then embed in the continuous spectrum. Rayleigh-Bloch waves vanish as frequency increases but reappear at high frequencies for small and large cylinders. The existence and properties of the Rayleigh-Bloch waves are connected with finite-array resonances.
