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Efficient Nonlinear Distortion Compensation Algorithms Using Machine Learning for Telecommunication Systems 基于机器学习的电信系统非线性失真补偿算法
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S106833562560456X
A. A. Redyuk, E. I. Shevelev, O. S. Sidelnikov, V. R. Danilko, T. O. Bazarov, M. A. Senko, L. A. Samodelkin, O. E. Nanii, V. N. Treshchikov, M. P. Fedoruk

Compensation for nonlinear signal distortions is a key challenge for ensuring high throughput and increasing the range of modern fiber-optic communication systems. Nonlinear effects significantly limit data transmission quality, especially with increasing signal power and propagation over long distances. Therefore, the development of accurate, robust, and computationally efficient compensation methods incorporating modern machine learning approaches is particularly relevant in optical telecommunications engineering. The paper presents a comparative analysis of efficient nonlinear distortion compensation algorithms in fiber-optic communication systems using machine learning methods. Modifications of the classical digital backpropagation (DBP) method are discussed: learned DBP (LDBP), enhanced DBP (EnDBP), a perturbation-based model (PBM), a hybrid PB-DBP scheme, and an approach using convolutional neural networks (CNNs). Using experimental data from a laboratory prototype of a 2000-km-long optical transmission line, the capabilities of parameter learning are demonstrated and the effectiveness of the methods in terms of compensation accuracy and computational complexity is compared. The methods demonstrate a significant increase in signal-to-noise ratio and allow a balance between accuracy and load on the digital signal processing module to be optimized.

非线性信号失真补偿是保证现代光纤通信系统高吞吐量和增加传输距离的关键问题。非线性效应极大地限制了数据的传输质量,特别是随着信号功率的增加和长距离传播。因此,结合现代机器学习方法的准确,稳健和计算效率的补偿方法的发展与光通信工程特别相关。本文利用机器学习方法对光纤通信系统中几种有效的非线性失真补偿算法进行了比较分析。讨论了经典数字反向传播(DBP)方法的改进:学习式DBP (LDBP),增强式DBP (EnDBP),基于扰动的模型(PBM),混合pbp -DBP方案,以及使用卷积神经网络(cnn)的方法。利用2000公里长的光纤传输线实验样机的实验数据,验证了该方法的参数学习能力,并比较了补偿精度和计算复杂度方面的有效性。该方法显著提高了信噪比,并优化了数字信号处理模块的精度和负载之间的平衡。
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引用次数: 0
Nonlinear Fourier Transform as a Tool for Analyzing the Soliton Dynamics in Systems Obeying the Haus–Ginzburg–Landau Equation 非线性傅立叶变换作为分析符合豪斯-金兹堡-朗道方程系统孤子动力学的工具
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604571
I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk

We propose using the nonlinear Fourier transform (NFT) not as a method for integrating equations but as a tool for studying the properties of localized coherent structures in dissipative nonlinear systems. The effectiveness of using a discrete nonlinear spectrum for quantitatively describing the dynamics of optical pulses is demonstrated, even when the original model is not integrable. The application of this method is substantiated using the solution to the cubic Haus–Ginzburg–Landau equation (HGLE), which describes the generation of optical pulses from noise in passively mode-locked lasers. It is shown that stabilization of the discrete nonlinear spectrum serves as a reliable indicator of stable soliton generation. Additionally, algorithms for tracing individual discrete eigenvalues are proposed, including a machine-learning-based algorithm, which expands the toolbox for analyzing and automating the processing of data obtained using NFT.

本文提出将非线性傅里叶变换(NFT)作为研究耗散非线性系统中局域相干结构性质的工具,而不是作为求解方程的一种方法。证明了使用离散非线性谱定量描述光脉冲动力学的有效性,即使在原始模型不可积时也是如此。用三次豪斯-金兹堡-朗道方程(HGLE)的解证明了该方法的应用,该方程描述了被动锁模激光器中噪声产生光脉冲的过程。结果表明,离散非线性谱的稳定化是产生稳定孤子的可靠指标。此外,还提出了用于跟踪单个离散特征值的算法,包括基于机器学习的算法,该算法扩展了使用NFT获得的数据分析和自动化处理的工具箱。
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引用次数: 0
Modeling Particle Trapping Using Focused Radiation of an Optical Fiber Mode 利用光纤模式聚焦辐射模拟粒子捕获
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604844
N. A. Kostina, A. Yu. Kokhanovskiy, L. O. Zhukov, R. S. Ponomarev

The numerical simulation results for optical trapping of silicon nanoparticles using lensed single-mode fibers at a wavelength of 1550 nm are presented. A single lensed fiber is shown to provide stable trapping of particles with a radius of up to 100 nm, whereas for larger particle sizes trapping becomes unstable due to increasing scattering force. An optical tweezers design based on two opposing lensed fibers is proposed, which makes it possible to expand significantly the size range of trapped particles. The sensitivity of the trapping force to fiber misalignment is analyzed. The obtained results can be used in the design of compact fiber optical tweezers for manipulating dielectric nanostructures and micro-objects in microfluidic systems.

给出了硅纳米粒子在1550 nm波长处被透镜单模光纤捕获的数值模拟结果。单透镜光纤可以提供半径达100纳米的稳定捕获粒子,而对于更大的粒子尺寸,由于散射力的增加,捕获变得不稳定。提出了一种基于两种相对透镜光纤的光镊设计,该设计使捕获粒子的尺寸范围显著扩大。分析了捕获力对光纤错位的敏感性。所得结果可用于设计用于操纵介质纳米结构和微流体系统中微物体的紧凑型光纤镊。
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引用次数: 0
All-Glass Leakage-Channel Microstructured Optical Fibers with Reduced Core Refractive Index 降低纤芯折射率的全玻璃泄漏通道微结构光纤
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604704
A. N. Denisov, S. L. Semjonov

The results of a theoretical study of all-glass microstructured optical fibers (MOFs) with leakage channels, containing two layers of round fluorine-doped silica elements in the cladding and doped cores 20 µm in diameter with different reduced refractive indices, are presented. Numerical analysis of the properties of these MOFs was performed using the finite-element method (FEM). The leakage losses of fundamental and higher modes in the spectral range from 0.79 µm to 1.35 µm for bent MOF at a bending radius of 8 cm are calculated. It is shown that the considered MOF design provides efficient single-mode operation in the spectral range from 0.99 to 1.28 µm. The leakage losses at a wavelength of 1.05 µm are of no more than 0.056 dB/m for fundamental modes and no less than 12.3 dB/m for higher modes.

本文对泄漏通道的全玻璃微结构光纤(mof)进行了理论研究,该光纤包层中含有两层圆形掺氟硅元,掺氟芯直径为20µm,折射率不同。采用有限元法对这些MOFs的性能进行了数值分析。计算了弯曲半径为8 cm时MOF在0.79 ~ 1.35 μ m范围内的基模和高模泄漏损耗。结果表明,所考虑的MOF设计在0.99 ~ 1.28µm的光谱范围内提供了高效的单模工作。在1.05µm波长处,基模泄漏损耗不大于0.056 dB/m,高模泄漏损耗不小于12.3 dB/m。
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引用次数: 0
Narrow-Linewidth Erbium-Doped Fiber Laser with Ultrashort Random Distributed Feedback Based on Disordered Structures Fabricated by Femtosecond Laser Radiation 飞秒激光无序结构超短随机反馈窄线宽掺铒光纤激光器
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604686
M. I. Skvortsov, K. V. Kolosova, S. R. Abdullina, A. V. Dostovalov, Zh. E. Munkueva, E. V. Golikov, O. N. Egorova, S. A. Babin

A narrow-linewidth erbium-doped fiber laser with random distributed feedback (RDFB) was demonstrated. A record-short 2-mm RDFB sample was fabricated using femtosecond inscription technique of disordered structures directly within the fiber. Despite its compact size, this structure provides a reflectivity equivalent to ~10 km of standard single-mode fiber. In a ring cavity configuration, the laser showed stable single-frequency operation over the entire pump power range. The central lasing wavelength was 1549.8 nm, the emission linewidth at half maximum was 0.6 kHz, and the maximum output power was 10.1 mW.

研制了一种具有随机分布反馈的窄线宽掺铒光纤激光器。利用飞秒刻录技术直接在光纤内刻录无序结构,制备了短至2毫米的RDFB样品。尽管尺寸紧凑,但这种结构的反射率相当于10公里的标准单模光纤。在环形腔结构中,激光器在整个泵浦功率范围内表现出稳定的单频工作。中心波长为1549.8 nm,半峰发射线宽为0.6 kHz,最大输出功率为10.1 mW。
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引用次数: 0
Control of Pulse-to-Pulse Interactions in a Ring Soliton Fiber Laser through Positioning of Saturable Absorber 利用可饱和吸收器定位控制环形孤子光纤激光器的脉冲相互作用
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604601
D. A. Korobko, V. A. Ribenek, P. A. Itrin, G. V. Tertyshnikova, A. A. Fotiadi

The work presents a numerical and experimental study of pulse-to-pulse interactions occurring due to gain depletion and recovery in a soliton polarization-maintaining fiber laser. Specifically, it is demonstrated that the direction and magnitude of the interaction forces depend significantly on the stage of the combined evolution of the soliton and the dispersive wave occurring in the laser’s gain fiber. Numerical simulations demonstrate that by varying the position of the saturable absorber (SA) within the resonator, it is possible to control the soliton interaction occurring due to gain depletion and recovery. In particular, placing the SA immediately after the gain fiber enhances the pulse-to-pulse attraction, transforming the laser into a generator of coupled solitons or soliton bunches. Conversely, by optimizing the distance between the SA and the gain fiber, it is possible to enhance the repulsive interaction and ensure optimal conditions for stable harmonic mode locking with multi-GHz pulse repetition rates. The numerical simulation results are consistent with the experimental data.

本文对孤子保偏光纤激光器中由于增益损耗和恢复引起的脉冲间相互作用进行了数值和实验研究。具体地说,证明了相互作用力的方向和大小在很大程度上取决于发生在激光增益光纤中的孤子和色散波的联合演化阶段。数值模拟表明,通过改变可饱和吸收器(SA)在谐振腔内的位置,可以控制由于增益耗尽和恢复而发生的孤子相互作用。特别是,在增益光纤之后立即放置SA增强了脉冲对脉冲的吸引力,将激光器转变为耦合孤子或孤子束的发生器。相反,通过优化SA和增益光纤之间的距离,可以增强排斥相互作用,并确保具有多ghz脉冲重复率的稳定谐波模式锁定的最佳条件。数值模拟结果与实验数据吻合较好。
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引用次数: 0
Directional Coupler Based on Waveguides with a Structured Depressed Cladding in K8 Glass 基于K8玻璃结构压制包层波导的定向耦合器
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604716
V. V. Likhov, G. K. Alagashev, A. G. Okhrimchuk

A directional coupler (DC) architecture consisting of curved single-mode waveguides with a structured depressed cladding was proposed. The DCs were written in the bulk of industrial borosilicate K8 glass using a femtosecond laser beam. The dependence of the optical power fraction transferred between the DC arms in the telecommunication wavelength range on the length of the coupling section was experimentally and theoretically studied. The maximum fraction of transferred power was 56% and was found to be limited by the asymmetry of the DC arms. The modal propagation loss was as low as 0.8 dB/cm.

提出了一种由弯曲单模波导和结构凹陷包层组成的定向耦合器结构。用飞秒激光束在大量的工业硼硅酸盐K8玻璃上书写DCs。实验和理论研究了在通信波长范围内直流电臂间传递的光功率分数与耦合段长度的关系。传输功率的最大比例为56%,并被发现受限于直流臂的不对称。模态传输损耗低至0.8 dB/cm。
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引用次数: 0
Method for Compensating for Nonlinear Distortions in Long-Haul Soliton Fiber-Optic Communication Lines 远距离孤子光纤通信线路非线性畸变补偿方法
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604534
G. A. Patrin, I. S. Chekhovskoy, O. S. Sidelnikov, O. V. Shtyrina, M. P. Fedoruk

The paper addresses the problem of increasing the soliton fiber-optic line throughput limited by nonlinear effects in optical fiber. An approximate analytical description of the pulse dynamics in a passive communication line medium is developed, and a combined quasi-analytical method for compensating for nonlinear distortions at the receiver is proposed based on this description. The proposed approach enables a transition from a phase modulation format to an amplitude‒phase modulation format for a soliton signal, leading to an increase in the throughput of the systems in question due to constellation compression.

本文研究了由于光纤非线性效应的限制,如何提高孤子光纤线路吞吐量的问题。建立了无源通信介质中脉冲动力学的近似解析描述,并在此基础上提出了一种补偿接收端非线性失真的组合准解析方法。所提出的方法使孤子信号能够从相位调制格式过渡到幅度相位调制格式,从而由于星座压缩而导致所讨论系统的吞吐量增加。
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引用次数: 0
Short Single-Frequency Fiber Lasers with Distributed Bragg Reflectors Based on Highly Yb-Doped Photosensitive Polarization-Maintaining Silica-Based Fiber 基于高掺镱光敏保偏硅基光纤的分布式Bragg反射器短单频光纤激光器
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604613
I. A. Semenov, A. A. Rybaltovsky, D. A. Davydov, M. E. Likhachev, A. S. Lobanov, D. S. Lipatov

A highly Yb-doped polarization-maintaining fiber has been developed. Optimization of the aluminophosphosilicate core composition made it possible to achieve a high gain (comparable with that of phosphate glasses), simultaneously with high pump-to-signal conversion efficiency. Codoping the core with germanium oxide provided high photosensitivity and made it possible to record highly reflective fiber Bragg gratings directly in the active fiber. Single-frequency fiber lasers have been designed based on the developed fiber, which generate in a single polarization mode with a record-short cavity length, equal to 14 mm. The pump-to-signal conversion efficiency was shown to be 22% for a polarized single-frequency laser at a wavelength of 1064 nm and 17% for a polarized single-frequency laser at 976 nm.

研制了一种高掺镱保偏光纤。优化铝磷硅酸盐核心组成,可以实现高增益(与磷酸盐玻璃相当),同时具有高泵-信号转换效率。芯芯与氧化锗共掺杂提供了高光敏性,并使直接在有源光纤中记录高反射光纤布拉格光栅成为可能。在该光纤的基础上设计了单频光纤激光器,该激光器以单偏振模式产生,腔长短,为14 mm。在1064 nm的偏振单频激光器中,泵浦到信号的转换效率为22%,在976 nm的偏振单频激光器中,泵浦到信号的转换效率为17%。
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引用次数: 0
Gigahertz Repetition-Rate Pulse Generation in Fiber Lasers Based on Semiconductor Optical Amplifiers 基于半导体光放大器的光纤激光器中千兆赫重复频率脉冲的产生
IF 0.7 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-02-27 DOI: 10.3103/S1068335625604868
A. A. Ivanenko, S. V. Smirnov, A. Rybak, N. Idyrysov, A. E. Bednyakova

The latest advances in utilizing a novel method for generating gigahertz-repetition-rate pulses in fiber lasers based on semiconductor optical amplifiers are reviewed. This method, based on self-sustained cross-gain modulation in lasers with negative optical feedback, does not require active modulation or the use of saturable absorbers and provides stable generation of subnanosecond pulses. The applicability of the approach has been demonstrated experimentally at repetition rates up to 9.77 GHz. The possibility of broad wavelength tuning in a wide range from 1480 to 1556 nm with preserved pulsed operation mode and control of pulse repetition frequency from 1.85 to 6.2 GHz is also demonstrated. The physical principles underlying the method and its advantages for practical applications in telecommunications, metrology, and spectroscopy are discussed.

综述了基于半导体光放大器的光纤激光器中产生千兆赫重复频率脉冲的新方法的最新进展。该方法基于负光反馈激光器的自持续交叉增益调制,不需要主动调制或使用可饱和吸收器,并提供稳定的亚纳秒脉冲产生。实验证明了该方法在高达9.77 GHz的重复频率下的适用性。在保留脉冲工作模式和控制脉冲重复频率在1.85 ~ 6.2 GHz范围内的情况下,在1480 ~ 1556 nm范围内进行宽波长调谐的可能性也得到了证明。讨论了该方法的物理原理及其在电信、计量和光谱学等实际应用中的优势。
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引用次数: 0
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Bulletin of the Lebedev Physics Institute
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