In this work, we present the use of stochastic parallel gradient descent (SPGD) method for determination of thermal characteristic of the phases of LP_11o and LP_11e modes in relative to LP₀₁ mode in two-mode fibers. Based on the output beam of the fiber, the composition of mode intensity and the respective phase are numerically determined. The findings indicate that modal phases of LP_11o and LP_11e linearly vary with increasing temperature. Their thermal sensitivities of LP_11o and LP_11e modes in relative with LP₀₁ mode are determined.

中文翻译：

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基于数值方法的双模光纤中LP模间相位差的热表征

在这项工作中，我们介绍了使用随机平行梯度下降（SPGD）方法确定相对于两模光纤中LP ₀₁模式的LP _11o和LP _11e模式的相的热特性。基于光纤的输出光束，模态强度的组成和相应的相位被数值确定。研究结果表明，LP _11o和LP _11e的模态_相随温度升高线性变化。确定了它们相对于LP ₀₁模式的LP _11o和LP _11e模式的热敏性。