传输周期脉冲序列的optical fibers中捕获探测光子的基模
Fundamental modes of a trapped probe photon in optical fibers conveying periodic pulse trains
摘要：
本文从理论上研究了探测光子在周期性时间脉冲训练的波导结构中交叉相位整形所引起的波模，着重研究了探测光子波方程的精确解。这项研究与光控制问题的最新进展有直接联系，重点是通过色散管理光纤的周期性匹配高功率脉冲的时间序列捕获低功率探针。该问题是制定在平均色散的非线性光纤方程，耦合到一个线性方程的探头，包括交叉相位调制项。对色散具有鲁棒性的保形模在探针中被诱导，它们形成一族相互正交的孤子，其特征由自相位和交叉相位效应之间的竞争决定。考虑到这种竞争的特定背景，该理论预测了两个退化模式，代表一列训练的明亮信号和一个模式，描述了一列训练的黑暗信号。当考虑到泵浦和探测之间的走离时，这些模式具有有限的动量包络，并且它们中没有一个相对于光泵浦孤子是完全透明的。
英文摘要：
Wave modes induced by cross-phase reshaping of a probe photon in the guiding structure of a periodic train of temporal pulses are investigated theoretically with emphasis on exact solutions to the wave equation for the probe. The study has direct connection with recent advances on the issue of light control by light, the focus being on the trapping of a low-power probe by a temporal sequence of periodically matched high-power pulses of a dispersion-managed optical fiber. The problem is formulated in terms of the nonlinear optical fiber equation with averaged dispersion, coupled to a linear equation for the probe including a cross-phase modulation term. Shape-preserving modes which are robust against the dispersion are shown to be induced in the probe, they form a family of mutually orthogonal solitons the characteristic features of which are determined by the competition between the self-phase and cross-phase effects. Considering a specific context of this competition, the theory predicts two degenerate modes representing a train of bright signals and one mode which describes a train of dark signals. When the walk-off between the pump and probe is taken into consideration, these modes have finite-momentum envelopes and none of them is totally transparent vis-à-vis the optical pump soliton.
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