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设计了一种由一维光波导构成的一维双金字塔光波导网络,利用网络方程、无量纲布洛赫定理、以及广义本征函数方法研究了这种光波导网络的光子带隙和光子衰减性质。研究发现:这种包含高密度三角形基元回路的有趣光波导网络能够产生巨大的完全光子带隙和超强的光子衰减。当网络中任意两个相邻结点都由波导长度配比为2∶1的两条一维波导线连接时,网络产生的光子带隙的中心带隙率可达到154%;仅仅包含8个原胞的这种2∶1双连通光波导网络,其光子带隙的平均衰减深度可超过10-21(这相当于-210 d B)。这种有趣的光波导网络可用于设计和开发宽带隙和强局域的光子器件。
A one-dimensional double-pyramid optical waveguide network composed of a one-dimensional optical waveguide is designed. The photonic band gap and photon attenuation of the optical waveguide network are studied by means of network equations, dimensionless Bloch's theorem, and generalized eigenfunctions nature. The study found that this interesting optical waveguide network with a high-density triangular primitive loop produces a huge total photonic band gap and super photon attenuation. When any two adjacent nodes in the network are connected by two one-dimensional waveguides with a waveguide length ratio of 2: 1, the central bandgap of the photonic bandgap generated by the network can reach 154%; only eight This 2: 1 dual-connectivity optical network of soots can have an average depth of photon band gap attenuation of more than 10-21 (which is equivalent to -210 dB). This interesting optical waveguide network can be used to design and develop wideband gap and strong local photonic devices.