基于贝塞尔函数数值求解平面光波导的弯曲损耗

为了数值求解平面光波导的弯曲损耗,首先给出了平面弯曲光波导的传输模型。基于这种模型,使用基于求解贝塞尔函数的方法数值求解出平面光波导的弯曲损耗。为了验证该方法的准确性,将计算得到的弯曲损耗结果与以往的实验结果相比较,结果表明,在弯曲半径较大的情况下两者基本吻合。     

Resonant Photonic States in Coupled Heterostructure Photonic Crystal Waveguides

In this paper, we study the photonic resonance states and transmission spectra of coupled waveguides made from heterostructure photonic crystals. We consider photonic crystal waveguides made from three photonic crystals A, B and C, where the waveguide heterostructure is denoted as B/A/C/A/B. Due to the band structure engineering, light is confined within crystal A, which thus act as waveguides. Here, photonic crystal C is taken as a nonlinear photonic crystal, which has a band gap that may be modified by applying a pump laser. We have found that the number of bound states within the waveguides depends on the width and well depth of photonic crystal A. It has also been found that when both waveguides are far away from each other, the energies of bound photons in each of the waveguides are degenerate. However, when they are brought close to each other, the degeneracy of the bound states is removed due to the coupling between them, which causes these states to split into pairs. We have also investigated the effect of the pump field on photonic crystal C. We have shown that by applying a pump field, the system may be switched between a double waveguide to a single waveguide, which effectively turns on or off the coupling between degenerate states. This reveals interesting results that can be applied to develop new types of nanophotonic devices such as nano-switches and nano-transistors.     

分析介质光波导传播特性的Cole—Hopf变换法

采用Cole-Hopf变换法，将平板光波导导模所满足的二阶常微分方程（Helmholtz方程）变换成一阶常微分方程（Riccati方程），用较简单且有效的方法分析导模的特性。给出了多层阶跃型及渐变型平板波导导模的精确解析解和数值解法及实例；给出了非线性平板波导传播特性的数值计算法及实例。     

具有特效导波模式的左手材料波导设计

通过转移矩阵方法理论,研究含左手材料平板波导导波模式与表面波的特性,结果表明:在TE极化情况下,当包裹层为金属-芯层为左手材料的三层平板波导满足波导导行条件时,导波层能承载新功能的导波模式,即不存在TE0模;在特殊条件下存在TE1模,而且这导波模式与电磁波频率、材料的介电常数和磁导率密切相关;当不满足波导导行条件时,三层平板波导的三个区域出现不同指数规律衰减的表面波,当导波系数与导波层厚度的乘积为2.1π时,不同模式的表面波将趋向一致.模系数m的奇偶性对导波模式和表面波的能流分布有着显著的影响.利用包裹层为金属-芯层为左手材料三层平板波导的导波模式、表面波和能流分布的奇异特性,可以实现特效导波模式的波导器件,为波导实际设计和应用提供了理论参考.     

阶梯波导的传输矩阵研究

用模式匹配方法分析H面阶梯波导的TE模式,首先将各区域的场写为x函数矩阵与z函数矩阵以及本区域的场系数向量相乘的形式,然后对相邻区域的x函数矩阵进行加权积分得到矩阵形式的匹配方程组。不仅在表达形式上简洁紧凑,而且能够方便的推导出考虑高次凋落模的传输矩阵。通过传输矩阵求解场,未知数个数成倍减小,运算量显著降低。数值例子验证了方法的正确性。     

SOI亚微米波导光栅的设计与制作

报道了SOI基亚微米小尺寸波导光栅器件的设计、制作与测试结果。提出了波导与光栅同步制作的方案,避免了套刻,节约了成本。实验中采用电子束光刻(EBL)、感应耦合等离子体(ICP)刻蚀等先进半导体工艺技术,结合图形补偿等技术手段,完成了亚微米波导光栅的制作。光栅周期为350nm,占空比16∶19。采用该光栅做反射镜,制作了法布里-珀罗(F-P)谐振腔,经测试得到了与模拟相吻合的结果,峰谷比达到11dB。     

同时存在横向位移和角度偏差时两平板光波导的连接损耗

用对称平板光波导基模场的高斯近似来计算同时存在横向位移、角度偏差以及波导参数不一样情况两单模平板波导的连接损耗，导出了非常简单的公式，同时也给出了数值计算的实例。