Medvedev Sergey, Chekhovskoy Igor, Vaseva Irina, Fedoruk Mikhail
Opt Lett. 2020 Apr 1;45(7):2082-2085. doi: 10.1364/OL.387436.
The direct Zakharov-Shabat scattering problem has recently gained significant attention in various applications of fiber optics. The development of accurate and fast algorithms with low computational complexity to solve the Zakharov-Shabat problem (ZSP) remains an urgent problem in optics. In this Letter, a fourth-order multi-exponential scheme is proposed for the Zakharov-Shabat system. The construction of the scheme is based on a fourth-order three-exponential scheme and Suzuki factorization. This allows one to apply the fast algorithms with low complexity to calculate the ZSP for a large number of spectral parameters. The scheme conserves the quadratic invariant for real spectral parameters, which is important for various telecommunication problems related to information coding.
直接扎哈罗夫 - 沙巴特散射问题最近在光纤的各种应用中受到了极大关注。开发具有低计算复杂度的精确快速算法来解决扎哈罗夫 - 沙巴特问题（ZSP）仍然是光学领域的一个紧迫问题。在本信函中，针对扎哈罗夫 - 沙巴特系统提出了一种四阶多指数格式。该格式的构建基于四阶三指数格式和铃木因式分解。这使得人们能够应用低复杂度的快速算法来计算大量光谱参数下的ZSP。对于实光谱参数，该格式保持二次不变量，这对于与信息编码相关的各种电信问题很重要。
