多孤子相位调制的时间带宽积观点
Time-Bandwidth Product Perspective for Multi-Soliton Phase Modulation
摘要：
多孤子脉冲是光纤传输的潜在候选者，其中信息在所谓的非线性傅立叶域中被调制和恢复。虽然这是一个优雅的技术来考虑信道的非线性，所获得的频谱效率，到目前为止，是没有竞争力的经典奈奎斯特为基础的计划。这尤其是由于观察到孤子脉冲通常表现出大的时间带宽积。考虑高阶孤子在光纤中传输时的光谱和时间特性，我们考虑了高阶孤子光谱振幅的相位调制。对于二阶和三阶孤立子，我们对脉冲形状进行了数值优化，以使时间带宽积最小化。我们研究了多孤子脉冲宽度和带宽的行为，一般观察到两个角落的情况下，我们近似解析。我们使用这些结果给出的最小可实现的时间带宽产品每个特征值的估计。
英文摘要：
Multi-soliton pulses are potential candidates for fiber optical transmission where the information is modulated and recovered in the so-called nonlinear Fourier domain. While this is an elegant technique to account for the channel nonlinearity, the obtained spectral efficiency, so far, is not competitive with classic Nyquist-based schemes. This is especially due to the observation that soliton pulses generally exhibit a large time-bandwidth product. We consider the phase modulation of spectral amplitudes of higher order solitons, taking into account their varying spectral and temporal behavior when propagating along the fiber. For second and third order solitons, we numerically optimize the pulse shapes to minimize the time-bandwidth product. We study the behavior of multi-soliton pulse duration and bandwidth and generally observe two corner cases where we approximate them analytically. We use these results to give an estimate on the minimal achievable time-bandwidth product per eigenvalue.
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