掩埋型离子交换玻璃光波导的变分分析

用变分法对离子交换法制备的掺铒光波导的传播特性进行了分析,推导出了适用于掩埋型离子交换玻璃沟道光波导中场分布传播常量的变分表达式,构建了场分布的厄米-高斯型试探解,在两种不同实验条件下,采用变分法确定了试探解中的待定参量,获得光波导中的场分布,利用传播常量的变分公式和已确定的场分布计算得到了传播常量和有效折射率。计算数据表明:导波区域的有效折射率稍稍地大于限制层的折射率,说明离子交换法制备的波导器件是弱波导;高的辅助退火电场强度和适当的退火时间下,所制备的光波导可以支持更多光模式的传输。该方法计算过程简洁、快速,计算结果与实验结果吻合。

Variational Analysis of Buried Ion-Exchanged Optical Waveguide by Using Hermite-Gaussian Field Approximations

Propagation characteristics of the Er-doped waveguide amplifier are studied by the variational method.The variational expression of the propagation constant is proposed in the buried ion-exchanged glass optical waveguide.The unknown parameters of the Hermite-Gaussian trial solution for the field profile are determined by using the variational method.The field distributions of different fabricated waveguides are then determined.The propagation constant and the effective refractive index are calculated using the variational expression of the propagation constant and the determined field distributions.The fact that the effective refractive index is slightly larger than the bulk index shows that the waveguides fabricated are weak ones.High electrical intensity and short annealing time are shown to be useful in the fabrication of buried waveguides.The calculation procedure is simple and the results calculated using the variational method agree with those measured in the experiment.