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。 The variational method was used to analyze the propagation characteristics of the erbium-doped optical waveguide prepared by the ion exchange method. The variational expressions of the propagation constants of the field distribution for the buried ion-exchange glass channel waveguide were deduced. The field distribution Hermite - Gauss type test solution, under the two different experimental conditions, variational method was used to determine the unknown parameters in the test solution, and the field distribution in the optical waveguide was obtained. By using the variational formula of the propagation constant and the determined field distribution The propagation constant and effective refractive index were calculated. The calculated data show that the effective refractive index in the guided wave region is slightly larger than the refractive index of the limiting layer, indicating that the waveguide device prepared by the ion exchange method is a weak waveguide. The prepared high-intensity annealing electric field strength and an appropriate optical waveguide Can support more light mode of transmission. The calculation of the method is simple and fast, and the calculated results are in good agreement with the experimental results.