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机构地区:[1]北京建筑大学测绘与城市空间信息学院,北京100044
出 处:《激光与光电子学进展》2015年第7期201-210,共10页Laser & Optoelectronics Progress
基 金:国家973计划(2012CB725300)
摘 要: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 so-called double-pyramid waveguide network composed of one-dimensional optical waveguide segments is constructed and the properties of photonic band gap (PBG) and photonic attenuation by means of network equation, generalized Floquet-Bloch theorem, and generalized eigenfunction method are investigated. It is found that huge absolute PBGs and extreme strong photonic attenuation can be generated by this interesting optical waveguide network, which includes high density of triangular fundamental loops. When each pair of nearest-neighbor nodes in the network are connected by two waveguide segments with the length ratio of 2: 1, the ratio of the absolute PBG △ωto the midgap frequency △ωc arrives at 154%. The average photonic attenuation of the largest PBG resulted from this two-segment-connected network with 8 unit cells is stronger than 10-21 (which is equivalent to -210 dB). This interesting optical waveguide network may be useful for the designing of optical devices with large PBG and strong attenuation.
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