Multiplexage par division modale pour les applications à courte distance

Le multiplexage par division de mode (MDM) a reçu une attention considérable de la part des chercheurs au cours des dernières années. La principale motivation derrière l'utilisation de différents modes de fibre optique est d'augmenter la capacité des réseaux de transport. Les expériences initiales ont montré une grande complexité dans le traitement de signal (DSP) du récepteur. Dans cette thèse, nous étudions la viabilité et les défis de la transmission de données sur des fibres à quelques modes (FMF) pour des systèmes MDM à complexité de DSP réduite. Nos études comprennent à la fois une transmission de données cohérente et non cohérente. Dans notre première contribution, nous démontrons, pour la première fois, la transmission de données sur 4 canaux dans une nouvelle fibre OAM sans démultiplexage de polarisation optique. Nous utilisons une complexité de DSP réduite: deux jeux d'égaliseurs MIMO (multiple-input multiple-output) 2 × 2 au lieu d'un bloc égaliseur MIMO 4 × 4 complet. Nous proposons un nouveau démultiplexeur de mode permettant de recevoir simultanément deux polarisations d'un mode et de réaliser électriquement un démultiplexage de polarisation dans le récepteur DSP. Nous étudions également la pénalité OSNR due aux imperfections dans le démultiplexeur de mode et nous examinons la vitesse de transmission maximum accessible pour notre système. Dans notre deuxième contribution, nous étudions les dégradations modales dans les systèmes OAM-MDM, en nous concentrant sur leur effet sur la performance et la complexité du récepteur. Dans notre étude expérimentale, nous discutons pour la première fois de l'impact de deux modes non porteurs de données sur les canaux de données véhiculés par les modes OAM. Deux types différents de fibres OAM sont étudiés. Nous caractérisons notre liaison MDM en utilisant les techniques de mesure du temps de vol et de réponse impulsionnelle. Nous discutons des conclusions des résultats de caractérisation en étudiant l'impact des interactions modales sur la complexité de l'égaliseur du récepteur pour différents scénarios de transmission de données. Dans le troisième chapitre, nous étudions un nouveau FMF à maintien de polarisation et conduisons deux séries d'expériences de transmission de données cohérentes et de radio sur fibre (RoF). Nous démontrons pour la première fois, la transmission de données sans MIMO sur six et quatre canaux dans les systèmes cohérents et RoF, respectivement. Nous démontrons également, pour la première fois, la transmission de données RoF sur deux polarisations d'un mode dans une FMF. Nous discutons de la dégradation des performances due à la diaphonie dans de tels systèmes. Nous étudions également l'impact de la courbure sur cette fibre dans un contexte de RoF. La propriété de maintien de polarisation de cette fibre sous courbure est étudiée à la fois par des expériences de caractérisation et de transmission de données.Mode division multiplexing (MDM) has received extensive attention by researchers in the last few years. The main motivation behind using different modes of optical fiber is to increase the capacity of transport networks. Initial experiments showed high complexity in DSP of the receiver. In this thesis, we investigate the viability and challenges for data transmission over specially designed few mode fibers (FMF) for MDM systems with reduced DSP. Our studies include both coherent and non-coherent data transmission. In our first contribution, we demonstrate, for the first time, data transmission over 4 channels in a novel OAM fiber without optical polarization demultiplexing. We use reduced DSP complexity: two sets of 2×2 multiple-input multiple-output (MIMO) equalizers instead of a full 4×4 MIMO equalizer block. We propose a novel mode demultiplexer enabling us to receive two polarizations of a mode simultaneously and conducting polarization demultiplexing electrically in receiver DSP. We also investigate the OSNR penalty due to imperfections in the mode demultiplexer and we examine the maximum reachable baud rate for our system. In our second contribution, we study the modal impairments in OAM-MDM systems, focusing on their effect on receiver performance and complexity. In our experimental study, for the first time, we discuss the impact of two non-data carrying modes on data channels carried by OAM modes. Two different types of OAM fibers are studied. We characterize our MDM link using time-of-flight and impulse response measurement techniques. We discuss conclusions from characterization results with studies of the impact of modal interactions on receiver equalizer complexity for different data transmission scenarios . In the third contribution, we study a novel polarization-maintaining FMF and conduct two sets of coherent data transmission and non-coherent radio over fiber (RoF) experiments. We demonstrate for the first time, MIMO –Free data transmission over six and four channels in coherent and RoF systems, respectively. We also demonstrate, for the first time, RoF data transmission over two polarizations of a mode in a FMF. We discuss the performance degradation due to crosstalk in such systems. We also study the impact of bending on this fiber in RoF context. The polarization maintaining property of this fiber under bending is studied both via characterization and data transmission experiments

Optical angular momentum in air core fibers

As data consumption continues to grow, the backbone of the internet, comprising single mode fiber (SMF)-based infrastructure, is fundamentally limited by nonlinear optical effects. One strategy to address this bottleneck, space division multiplexing (SDM), utilizes multiple modes in a single fiber as independent data channels. Orbital Angular Momentum (OAM) carrying modes, which have twisting phase fronts tracing out helices as the beams propagate, have recently received tremendous attention as a means of achieving low-crosstalk, digital signal processing (DSP)-free transmission with enhanced capacity. Terabit-scale transmission using 4 OAM modes over 1.1km has been demonstrated, but questions remain – how many OAM modes can fibers support, and how stable is propagation over longer lengths? In this thesis, we investigate angular momentum carrying modes in a novel class of fibers featuring an air core. We find that high-order OAM states, although arising in degenerate pairs, counterintuitively resist mode coupling due to OAM conservation, pointing to a unique stability inherent to OAM modes in fibers. We achieve OAM propagation up to 13.4km lengths, and achieve mode purities greater than 15dB at data-center length-scales. We use these fibers to transmit wavelength-division multiplexed data with 25 GHz channel spacing, 10 GBaud rates and quadrature-phase-shift keyed modulation formats in 12 modes simultaneously, over 1.2km, and over a large number of wavelengths across the C-band (1530-1565nm). However, transmission over every mode in every channel of the C-band was prevented by the accidental degeneracy of OAM states with undesired modes. To achieve a larger ensemble of stable modes over a larger wavelength range, we study new fiber designs that avoid this accidental degeneracy problem. We find that the most scalable modal eigenbasis is a set of states that carry non-integer amounts of average OAM, also called spin-orbit coupled modes in analogy with similar effects observed in atomic physics. We demonstrate excitation and transmission of 24 such modes over device lengths (10m). The achievement of a record number of uncoupled modes in fibers confirms the viability of angular momentum states as data carriers, and potential applications include links in data centers, high capacity optical amplifiers, and quantum communications links.2017-09-09T00:00:00

Roadmap on structured light

Structured light refers to the generation and application of custom light fields. As the tools and technology to create and detect structured light have evolved, steadily the applications have begun to emerge. This roadmap touches on the key fields within structured light from the perspective of experts in those areas, providing insight into the current state and the challenges their respective fields face. Collectively the roadmap outlines the venerable nature of structured light research and the exciting prospects for the future that are yet to be realized

Light transport by topological confinement

The growth of data capacity in optical communications links, which form the critical backbone of the modern internet, is facing a slowdown due to fundamental nonlinear limitations, leading to an impending "capacity crunch" on the horizon. Current technology has already exhausted degrees of freedom such as wavelength, amplitude, phase and polarization, leaving spatial multiplexing as the last available dimension to be efficiently exploited. To minimize the significant energy requirements associated with digital signal processing, it is critical to explore the upper limit of unmixed spatial channels in an optical fiber, which necessitates ideally packing spatial channels either in real space or in momentum space. The former strategy is realized by uncoupled multi-core fibers whose channel count has already saturated due to reliability constraint limiting fiber sizes. The later strategy is realized by the unmixed multimode fiber whose high spatial efficiency suggest the possibility of high channel-count scalability but the right subset of mode ought to be selected in order to mitigate mode coupling that is ever-present due to the plethora of perturbations a fiber normally experiences. The azimuthal modes in ring-core fibers turn out to be one of the most spatially efficient in this regard, by exploiting light’s orbital angular momentum (OAM). Unmixed mode counts have reached 12 in a ~1km fiber and 24 in a ~10m fiber. However, there is a fundamental bottleneck for scalability of conventionally bound modes and their relatively high crosstalks restricts their utility to device length applications. In this thesis, we provide a fundamental solution to further fuel the unmixed-channel count in an MMF. We utilize the phenomenon of topological confinement, which is a regime of light guidance beyond conventional cutoff that has, to the best of our knowledge, never been demonstrated till publications based on the subject matter of this thesis. In this regime, light is guided by the centrifugal barrier created by light’s OAM itself rather than conventional total internal reflection arising from the index inhomogeneity of the fiber. The loss of these topologically confined modes (TCMs) decreases down to negligible levels by increasing the OAM of fiber modes, because the centrifugal barrier that keeps photons confined to a fiber core increases with the OAM value of the mode. This leads to low-loss transmission in a km-scale fiber of these cutoff modes. Crucially, the mode-dependent confinement loss of TCMs further lifts the degeneracy of wavevectors in the complex space, leading to frustration of phase-matched coupling. This thus allows further scaling the mode count that was previously hindered by degenerate mode coupling in conventionally bound fiber modes. The frustrated coupling of TCMs thus enables a record amount of unmixed OAM modes in any type of fiber that features a high index contrast, whether specially structured as a ring-core, or simply constructed as a step-index fiber. Using all these favorable attributes, we achieve up to 50 low-loss modes with record low crosstalk (approaching -45 dB/km) over a 130-nm bandwidth in a ~1km-long ring-core fiber. The TCM effect promises to be inherently scalable, suggesting that even higher modes counts can be obtained in the future using this design methodology. Hence, the use of TCMs promises breaking the record spectral efficiency, potentially making it the choice for transmission links in future Space-Division-Multiplexing systems. Apart from their chief attribute of significantly increasing the information content per photon for quantum or classical networks, we expect that this new light guidance may find other applications such as in nonlinear signal processing and light-matter interactions

Roadmap on multimode light shaping

Our ability to generate new distributions of light has been remarkably enhanced in recent years. At the most fundamental level, these light patterns are obtained by ingeniously combining different electromagnetic modes. Interestingly, the modal superposition occurs in the spatial, temporal as well as spatio-temporal domain. This generalized concept of structured light is being applied across the entire spectrum of optics: generating classical and quantum states of light, harnessing linear and nonlinear light-matter interactions, and advancing applications in microscopy, spectroscopy, holography, communication, and synchronization. This Roadmap highlights the common roots of these different techniques and thus establishes links between research areas that complement each other seamlessly. We provide an overview of all these areas, their backgrounds, current research, and future developments. We highlight the power of multimodal light manipulation and want to inspire new eclectic approaches in this vibrant research community.acceptedVersionPeer reviewe

Processamento ótico e digital de sinal em sistemas de transmissão com multiplexagem por divisão espacial

The present thesis focuses on the development of optical and digital signal processing techniques for coherent optical transmission systems with spacedivision multiplexing (SDM). According to the levels of spatial crosstalk, these systems can be grouped in the ones with and the ones without spatial selectivity; drastically changing its operation principle. In systems with spatial selectivity, the mode coupling is negligible and therefore, an arbitrary spacial channel can be independently routed through the optical network and post-processed at the optical coherent receiver. In systems without spatial selectivity, mode coupling plays a key role in a way that spatial channels are jointly transmitted and post-processed at the optical coherent receiver. With this in mind, optical switching techniques for SDM transmission systems with spatial selectivity are developed, whereas digital techniques for space-demultiplexing are developed for SDM systems without spatial selectivity. With the purpose of developing switching techniques, the acoustic-optic effect is analyzed in few-mode fibers (FMF)s and in multicore fibers (MCF)s. In FMF, the signal switching between two arbitrary modes using flexural or longitudinal acoustic waves is numerically and experimentally demonstrated. While, in MCF, it is shown that a double resonant coupling, induced by flexural acoustic waves, allows for the signal switching between two arbitrary cores. Still in the context of signal switching, the signal propagation in the multimodal nonlinear regime is analyzed. The nonlinear Schrödinger equation is deduced in the presence of mode coupling, allowing the meticulous analysis of the multimodal process of four-wave mixing. Under the right conditions, it is shown that such process allows for the signal switching between distinguishable optical modes. The signal representation in higher-order Poincaré spheres is introduced and analyzed in order to develop digital signal processing techniques. In this representation, an arbitrary pair of tributary signals is represented in a Poincaré sphere, where the samples appear symmetrically distributed around a symmetry plane. Based on this property, spatial-demultiplexing and mode dependent loss compensation techniques are developed, which are independent of the modulation format, are free of training sequences and tend to be robust to frequency offsets and phase fluctuations. The aforementioned techniques are numerically validated, and its performance is assessed through the calculation of the remaining penalty in the signal-to-noise ratio of the post-processed signal. Finally, the complexity of such techniques is analytically described in terms of real multiplications per sample.A presente tese tem por objectivo o desenvolvimento de técnicas de processamento ótico e digital de sinal para sistemas coerentes de transmissão ótica com multiplexagem por diversidade espacial. De acordo com a magnitude de diafonia espacial, estes sistemas podem ser agrupados em sistemas com e sem seletividade espacial, alterando drasticamente o seu princípio de funcionamento. Em sistemas com seletividade espacial, o acoplamento modal é negligenciável e, portanto, um canal espacial arbitrário pode ser encaminhado de forma independente através da rede ótica e pós-processado no recetor ótico coerente. Em sistemas sem seletividade espacial, o acoplamento modal tem um papel fulcral pelo que os canais espaciais são transmitidos e pós-processados conjuntamente. Perante este cenário, foram desenvolvidas técnicas de comutação entre canais espaciais para sistemas com seletividade espacial, ao passo que para sistemas sem seletividade espacial, foram desenvolvidas técnicas digitais de desmultiplexagem espacial. O efeito acústico-ótico foi analisado em fibras com alguns modos (FMF) e em fibras com múltiplos núcleos (MCF) com o intuito de desenvolver técnicas de comutação de sinal no domínio ótico. Em FMF, demonstrou-se numérica e experimentalmente a comutação do sinal entre dois modos de propagação arbitrários através de ondas acústicas transversais ou longitudinais, enquanto, em MCF, a comutação entre dois núcleos arbitrários é mediada por um processo de acoplamento duplamente ressonante induzido por ondas acústicas transversais. Ainda neste contexto, analisou-se a propagação do sinal no regime multimodal não linear. Foi deduzida a equação não linear de Schrödinger na presença de acoplamento modal, posteriormente usada na análise do processo multimodal de mistura de quatro ondas. Nas condições adequadas, é demonstrado que este processo permite a comutação ótica de sinal entre dois modos de propagação distintos. A representação de sinal em esferas de Poincaré de ordem superior é introduzida e analisada com o objetivo de desenvolver técnicas de processamento digital de sinal. Nesta representação, um par arbitrário de sinais tributários é representado numa esfera de Poincaré onde as amostras surgem simetricamente distribuídas em torno de um plano de simetria. Com base nesta propriedade, foram desenvolvidas técnicas de desmultiplexagem espacial e de compensação das perdas dependentes do modo de propagação, as quais são independentes do formato de modulação, não necessitam de sequências de treino e tendem a ser robustas aos desvios de frequência e às flutuações de fase. As técnicas referidas foram validadas numericamente, e o seu desempenho é avaliado mediante a penalidade remanescente na relação sinal-ruído do sinal pós-processado. Por fim, a complexidade destas é analiticamente descrita em termos de multiplicações reais por amostra.Programa Doutoral em Engenharia Eletrotécnic