PMD impact on optical systems: Single- and multichannel effects

We discuss the influence of polarization mode dispersion (PMD) on optical communication channels by putting special emphasis on PMD-induced pulse broadening. We present the analytical theory for PMD-induced pulse broadening, first in the deterministic and then for the random case. We then apply this theory to a comparison between a few different simple PMD-compensators. We also discuss the systems implications and outage probabilities that arise for different compensating techniques, including active optical compensation, alternative modulation formats and error correcting codes. Then we consider wavelength division multiplexing (WDM) systems, and present the unique aspects of PMD and PMD compensation that distinguish WDM transmission from the single-channel case. Finally the temporal drift is discussed, and the associated autocorrelation function is presented.     

Patterns in passive optical systems with boundary effects

Pattern formation is closely related to system boundary conditions in nonlinear dynamic systems.apart from the system control parameters,To avoid complexity,system boundary conditions are usually considered to be infinite or periodic,and the initial conditions spatially homogeneous,But it is not always the case in real situations,or sometimes periodic boundary conditions are not exact.To show the important and interesting boundary effects in real pattern formation,we suggest a simple universal boundary condition in a typical optical pattern formation system.Numerical simulations of the passive optical system show that pattern characteristics such as distribution symmetry,peak number,structure strength,evolution course and stability are all greatly influenced by the system boundary conditions.     

Diffraction integral for misaligned systems and interference effects of optical arrays

Summary In the present paper, a diffraction integral formula for a misaligned optical system is derived. The interference effects of opticalelement arrays are studied by means of such a formula. The possibility of eliminating interference fringes is discussed. The conclusion is that the interference fringes could be eliminated when the αβγδ condition for arrays is satisfied. The synthetical aberration is simultaneously eliminated. However, in this case, the synthetical image coincides with the individual images. For some special application, the synthetical image does not coincide with the individual images and the αβγδ condition is not fulfilled. But the interference fringes may disappear in some special cases.

---

Riassunto La formula di Collins, che esprime il cammino ottico fra un punto del piano oggetto e un punto del piano immagine nel caso di un sistema ottico centrato, è generalizzata al caso di un sistema ottico disallineato. La formula cosí ottenuta è applicata allo studio del fenomeno d’interferenza che ha luogo nel piano della cosiddetta ?immagine sintetica? fra i vari fasci emergenti da una cortina di elementi ottici. Si discutono infine le condizioni in cui non si hanno frange d’interferenza sull’immagine sintetica.

     

Interference mitigation for cognitive radio MIMO systems based on practical precoding

In this paper, we propose two subspace-projection-based precoding schemes, namely, full-projection (FP)- and partial-projection (PP)-based precoding, for a cognitive radio multiple-input multiple-output (CR-MIMO) network to mitigate its interference to a primary time-division-duplexing (TDD) system. The proposed precoding schemes are capable of estimating interference channels between CR and primary networks, and incorporating the interference from the primary to the CR system into CR precoding via a novel sensing approach. Then, the CR performance and resulting interference of the proposed precoding schemes are analyzed and evaluated. By fully projecting the CR transmission onto a null space of the interference channels, the FP-based precoding scheme can effectively avoid interfering the primary system with boosted CR throughput. While, the PP-based scheme is able to further improve the CR throughput by partially projecting its transmission onto the null space.     

Cooperative spectrum sharing MIMO systems with successive decoding

A spectrum sharing system with primary and secondary nodes, each equipped with an arbitrary number of antennas, is investigated. Particularly, the outage performance of an underlay cognitive system is analytically studied, in the case when the end-to-end ($e2e$) communication is established via an intermediate relay node. To better enhance the $e2e$ communication, successive interference cancellation (SIC) is adopted, which compensates for both the transmission power constraint and the presence of interference from primary nodes. Both the relay and secondary receiver perform unordered SIC to successively decode the multiple streams, whereas the decode-and-forward relaying protocol is used for the $e2e$ communication. New closed-form expressions for the $e2e$ outage performance of each transmitted stream are derived in terms of finite sum series of the Tricomi confluent hypergeometric function. In addition, simplified yet tight approximations for the asymptotic outage performance are obtained. Useful engineering insights are manifested, such as the diversity order of the considered system and the impact of interference from the primary nodes in conjunction with the constrained transmission power of the secondary nodes.     

The effects of external optical feedback on the power penalty of DFB-LD modules for 2.5Gbs−1 optical transmission systems

We report the effects of external optical feedback on the power penalty of commercial distributed feedback laser diode (DFB-LD) modules for 2.5Gbs–1 optical transmission systems. External optical feedback presented to the DFB-LD modules causes the excitation of external cavity modes, resulting in increased relative intensity noise (RIN) and intensity noise ripples at low frequency region below 500MHz. For a 10–10 bit error rate (BER), the minimum power penalty is as much as 1.25dB for a feedback ratio of –8.8dB. An excess power penalty of 0.5dB per 3dB increase in the feedback ratio was also empirically obtained. We suggest that optical isolators in 2.5Gbs–1 DFB-LD modules used in conventional optical transmission systems or WDM systems must have a peak isolation ratio of better than 54.5dB, instead of the previously recommended 30dB, for negligible power penalty induced by external optical feedback.     

Fiber optical parametric amplifiers in optical communication systems

The prospects for using fiber optical parametric amplifiers (OPAs) in optical communication systems are reviewed. Phase‐insensitive amplifiers (PIAs) and phase‐sensitive amplifiers (PSAs) are considered. Low‐penalty amplification at/or near 1 Tb/s has been achieved, for both wavelength‐ and time‐division multiplexed formats. High‐quality mid‐span spectral inversion has been demonstrated at 0.64 Tb/s, avoiding electronic dispersion compensation. All‐optical amplitude regeneration of amplitude‐modulated signals has been performed, while PSAs have been used to demonstrate phase regeneration of phase‐modulated signals. A PSA with 1.1‐dB noise figure has been demonstrated, and preliminary wavelength‐division multiplexing experiments have been performed with PSAs. 512 Gb/s have been transmitted over 6,000 km by periodic phase conjugation. Simulations indicate that PIAs could reach data rate x reach products in excess of 14,000 Tb/s × km in realistic wavelength‐division multiplexed long‐haul networks. Technical challenges remaining to be addressed in order for fiber OPAs to become useful for long‐haul communication networks are discussed.

     

MMSE detection method in uplink massive MIMO systems based on quantum computing

The minimum mean square error (MMSE) detection method involved matrix inversion operation with excessive computational burden. In this paper, we develop an improved quantum linear system algorithm to solve matrix inversion problem of the MMSE detection method in uplink massive multiple-input and multiple-output (MIMO) systems. In order to apply reasonably the robust computational power of quantum computing, we optimize the preparation of the input state and the extraction of the solution from the final entangled quantum state. We prove that this algorithm can reduce computational complexity to $\mathrm{O}(N\log ?N)$.     

Cooperative vehicle localization method based on coprime polarized MIMO systems for internet-of-vehicles

Vehicle position awareness is a kernel technique for the Internet-of-Vehicles (IOV). In this paper, we develop a novel vehicle localization framework, the core of which is to measure the two-dimensional (2D) angle-of-arrival (AOA) of the vehicle via coprime polarized multiple-input multiple-output (MIMO) systems. The transmitting polarized array emit mutual orthogonal training waveforms, and the receiving array pick up the waveforms via matched filters. A parallel factor (PARAFAC) decomposition algorithm is carried out, which first obtains the ambiguous elevation angles corresponding to the transmit array and receive array, and then it estimates the unambiguous elevation angles via the coprime characteristic of the arrays. Thereafter, it achieves the azimuth angles via the vector cross-product technique. Finally, the vehicle position is calculated via the relationship between the MIMO system and the vehicle. The proposed framework is suitable for anonymous vehicle. Numerical results are provided to show the effectiveness of the proposed framework.     

Modified leakage-based transmit filter designs for multi-user MIMO systems

This paper proposes two modified definitions of signal-to-leakage-plus-noise ratio (mSLNR) as criteria for linear transmit filter design in Multi-User MIMO systems. The proposed criteria incorporate receiver structures and priority weight matrices into the precoder design, which can effectively exploit unused receive signal spaces, in the case that available eigenmodes are not fully transmitted, and can potentially prioritise users’ data streams. Iterative SLNR (iSLNR) precoding algorithms based on the proposed mSLNR definitions are also presented. Further, the variations of the iSLNR algorithms are thoroughly studied. In particular, the impact of the mSLNR definitions, choices of receive filters and iteration types on the convergence property and sum-rate performance is discussed. Moreover, the effect of weight matrices on users’ prioritisation is elaborated. For extreme weight values, the proposed algorithms are shown to converge to either eigenbeamforming or null-space decomposition techniques. Further, a robust design of the proposed schemes for the case of imperfect channel state information (CSI) is presented. It is shown that adequate knowledge of effective receive subspaces can be attained by simply assuming matched filters (MF) in the iterative precoding process, while further improvement can be obtained by an actual implementation of interference-mitigation-capable receivers.     

混合分集多天线系统基于相关性的分析信道建模

在考虑正交极化子信道之间相关性的前提下,指出传统分析模型无法体现极化方向对相关性的影响,并提出一种新的建模理论对传统模型进行修改补充;然后指出传统模型中使用天线在距离分集和极化分集情况下的相关系数来计算混合分集情况下的相关系数是一种不够准确的近似方法,提出直接利用天线处于混合分集情况下的统计数据进行建模,这种新的模型可以准确复现子信道间的相关系数,满足高精度的需求. 关键词： 多输入多输出系统(MIMO) 信道模型 分析模型 相关系数     

基于科尔效应的非线性自适应光学系统

本文介绍并比较了环形振荡腔式以及由一片Ｋｅｒｒ 介质与一块二维反馈镜组成的非线性光学系统的结构特点,分析了上述系统的非线性动力学过程以及对波前相位畸变的压缩方式,指出了上述系统可能的应用领域     

弱光反馈对相干光差分相移键控系统性能的影响

本文讨论了弱光反馈对相干光差分相移键控系统误码率的影响。指出:在适当的反馈条件下,弱光反馈可以改善系统的误码率性能。     

光学系统的等效变换

本文在普遍情况下使用矩阵方法详细讨论了光学系统的等效变换,证明光线变换矩阵为的光学系统当C≠0时可等效为一个薄透镜,当C=0时等效为一个薄透镜组。文中所得结果能用于分析光线或光束通过复杂光学系统的变换和多元件光腔的问题。     

On input diffraction effects in infrared optical systems and the use of spatial apodization

The problem of diffraction at the input aperture of an optical system allowing stray radiation from outside the geometric field of view to enter the system is examined. This problem can be particularly serious in remote sensing applications where it may be necessary to detect a small cold target surrounded by an extended hot background. The basic equations describing the diffraction pattern are discussed and then modified to include spatial apodization of the diffracting aperture. A considerable reduction in the magnitude of the diffraction pattern side-lobes, due to the apodization, is demonstrated. The method is shown to be capable of highly efficient rejection of stray radiation arriving at angles outside the geometric field of view of the optical system.     

Pancharatnam-Berry phase of optical systems

We present simple closed-form expressions for evaluating the overall and the Pancharatnam-Berry phase introduced by an optical system with either orthogonal or nonorthogonal eigenpolarizations. The formulas provide a meaningful connection with the Pancharatnam-Berry phase associated with nonclosed paths on the Poincaré sphere.     

Similaritons in nonlinear optical systems

By using the lens-type transformation, we find the self-similar evolution of four kinds of optical similaritons in (1+1)-dimensional nonlinear Schrödinger equations. They are the exact solitonic similaritons, quasi solitonic similaritons, asymptotic compact parabolic similaritons and asymptotic Hermite-Gaussian similaritons. Moreover, the interaction of multiple solitonic similaritons are investigated. Approximate but highly accurate analytical methods are developed to describe their center-of-mass motion.     

Optimized free-form optical trapping systems

We report a comprehensive process for designing and prototyping new and optimized optical trapping systems. A combination of traditional lens design strategies, simulation of optical forces, and high-end ultraprecision machining of optical free-form surfaces is applied to the realization of a highly specialized optical trapping system. The resulting compact and lightweight optical modules potentially open new classes of applications for optical manipulation. As an example we present a customized 3D trapping module made of a single piece of polymethylmethacrylate, with a large working distance of 650?μm.