标题： 二元波导阵列中的塔尔博特效应 显示英文标题

标题： Talbot effect in binary waveguide arrays

摘要： 我们研究二进制波导阵列（BWAs）中的塔尔博特效应。 像在传统波导阵列中一样，只有当输入信号在横向方向上的周期等于$N$= 1, 2, 3, 4 和 6 时，塔尔博特效应才会发生。 然而，与传统波导阵列不同，在 BWAs 中观察到塔尔博特效应时，对于$N$= 3, 4 和 6，表示两个相邻波导之间传播常数失配一半的参数$\sigma$必须具有某些特定值。 同时，在 BWAs 中观察到$N$= 1 和 2 的塔尔博特效应时，$\sigma$可以取任何实数值。 我们还解析地推导了在 BWAs 纵向轴上的塔尔博特距离，输入信号在此处既在相位又在强度上发生重复。 此外，我们还解析地找到了在传播过程中场强重复的强度周期。 在某些情况下，强度周期等于塔尔博特距离的一半，而在其他情况下，这两个周期恰好相等。 所有这些新的解析结果都通过 BWAs 中的光束传播模拟得到了完美验证。 显示英文摘要

摘要： We study the Talbot effect in binary waveguide arrays (BWAs). Like in conventional waveguide arrays, the Talbot effect can only occur if the input signal has the period equal to $N$ = 1, 2, 3, 4, and 6 in the transverse direction. However, unlike in conventional waveguide arrays, for observation of the Talbot effect with $N$ = 3, 4, and 6 in BWAs, parameter $\sigma$ representing half of the propagation constant mismatch between two adjacent waveguides must have some specific values. Meanwhile, for observation of the Talbot effect with $N$ = 1 and 2 in BWAs, $\sigma$ can get any real values. We also analytically derive the Talbot distance along the longitudinal axis of BWAs where the recurrence of the input signal happens both in phase and intensity. Moreover, we also analytically find the intensity period where the field intensity is repeated during propagation. In some cases, the intensity period is equal to half of the Talbot distance, whereas in other cases, these two periods are just equal to each other. All these new analytical results are perfectly confirmed by beam propagation simulations in BWAs.